dkist optical prescriptionoss gregorian optics – this subsystem includes the entrance aperture,...

Project Documentation SPEC-0029

Rev G

DKIST Optical Prescription

Robert Hubbard Systems Engineering

March 2015

Name Date

Released By: Joseph McMullin

Project Manager 20-March-2015


SPEC-0029 Rev G Page i

REVISION SUMMARY:

1. Date: 12 September 2006 Revision: Rev A Changes: Initial release; a new document generated from a combination of TN-0022

and TN-0032 through TN-0036 but revised to show the new optical prescription. This release does not include all of the Nasmyth design information as work is continuing on that design.

2. Date: 15 December 2006

Revision: Rev B Changes: The Entrance Aperture Plate was moved to conform to the solid model. At

the same time the analysis was modified to locate pupil images throughout the system as seen through M1, not direct images of P1 formed by M2 and subsequent optics. Items only moved a few millimeters tops (Lyot stop, and even less elsewhere. Appendix D, the ZEMAX prescription, was replaced by a new ZEMAX file that also reflects the changes to the entrance aperture position.

3. Date: 21 March 2007

Revision: Rev C Changes: Conic offsets were carefully recalculated for Table 2.1, and additional

explanation of the offsets was added to the text of Section 2.

4. Date: September 2009 Revision: Rev D Changes: Major revision after DMZ design was adopted. This was authorized by CR-

0021. The first six mirrors stayed the same, but everything below the intermediate focus changed.

All references to Nasmyth have been removed from this version. Nasmyth

is now an upgrade path with an unspecified optical design.

5. Date: November 2009 Revision: Rev D2 Changes: Corrected errors in Table 3.1.

6. Date: June 2011 Revision: Rev E Changes: Updated to reflect new coudé rotator optics, M7 – M10 plus BS-1 This version is the first to assume M2 is coated with protected silver.

7. Date: October 2011

Revision: Rev F Changes: Added table 5.2 describing the impact of Radius of Curvature

manufacturing tolerances on M10 pupil size, the compensators that will be used, the effectiveness of the compensation on pupil size, and the resulting impact of that compensation on encircled energy.


SPEC-0029 Rev G Page ii

8. Date: May 2012 Revision: Rev F1 Changes: Per CR-0205: Corrected the diameter of the field stop at the heat stop in

Table 3.1 (F1 Prime Focus). The old 13.5 mm value had survived in the table after the decision was made that we could tolerate vignetting in the outer 10% of the 5-arcmin FOV. The value should have been 12.2 mm.

Added the offset value of M2 in table 2.1, where it had been inadvertently deleted going from REV-E to REV-F.

9. Date: May 2013

Revision: Rev F2 Changes: Per CR-0368: No changes have been made to the optical prescription.

It is now noted in section 1.2 that M9 is also sized for the 5-arcmin coronal field of view.

Removed the last column from Table 2.1 (off-axis conic offset in mm) as this has proved confusing and subject to misinterpretation. Instead added Table 2.2 that gives the location of the parent conics in global coordinates, and gives the parent conic’s orientation. The latter data was previously in Table 4.1.

Added a note to Table 3.1 that describes the mechanical position of the Lyot stop as modified from the ideal location by RFW-0025.

Modified P2 (Lyot stop) beam footprint dimensions after moving the Lyot stop to the TEOA manufacturer’s (L3 Integrated Optical Systems) new position granted by that same waiver.

Made corrections to Table 4.1 where compound angles previously describe the orientation of the back of some mirrors, not the fronts.

Added manufactured dimensions of feed mirrors where available.

10. Date: February 2014 Revision: Rev F3 Changes: Per CR-0461: No changes have been made to the optical prescription.

The size of the 2.83-arcsec field stop listed in Table 5.1 for the F2 footprint diameter was recalculated using the full aberrated footprint, not the footprint based on the PSF centroid. An explanatory note (note 3) was also added explaining the details.

11. Date: March 2015 Revision: Rev G Changes: Added Section 7 which documents the coudé lab layout beyond BS1 and

establishes nomenclature for the six beam splitter / window locations. A table of gut-ray intersections for the 500 nm ray through the windows / splitters is included, along with the gut-ray intersection for M9a, the Cryo-NIRSP pickoff mirror. A second table establishes the angle at which the beam exits the last distribution element en route to specific first-generation instrument locations. All occurrences of ATST have been changed to

DKIST. Changes approved by CCB via CR0557.


SPEC-0029 Rev G Page iii

Table of Contents

INTRODUCTION......................................................................................................................... 1

1. OVERVIEW OF THE BASELINE MODEL ..................................................................... 1

1.1 SUBSYSTEM ORGANIZATION ......................................................................................................................... 1 1.2 FIELD OF VIEW REQUIREMENTS AND GOALS ................................................................................................ 2 1.3 IMAGE QUALITY REQUIREMENTS AND GOALS .............................................................................................. 2

2. OPTICAL PRESCRIPTIONS.............................................................................................. 3

3. LOCATIONS AND DIAMETERS ...................................................................................... 4

4. ORIENTATIONS .................................................................................................................. 7

5. BEAM FOOTPRINTS .......................................................................................................... 8

6. ABSORBED POWER AND IRRADIANCE .................................................................... 10

7. COUDE LAB DISTRIBUTION OPICS NOMENCLATURE AND POSITIONS ....... 15

APPENDIX A – CHANGES RELATIVE TO ZEMAX .......................................................... 20

APPENDIX B – CONVENSIONS ............................................................................................. 21

Coordinate System .............................................................................................................................................. 21 The Gut Ray ........................................................................................................................................................ 21 Rotation Conventions .......................................................................................................................................... 21 Vertex Radius of Curvature ................................................................................................................................ 22 Surface Normals ................................................................................................................................................. 22

APPENDIX C – METHODOLOGY ......................................................................................... 23

Optical Prescriptions: ......................................................................................................................................... 23 Locations and Diameters: ................................................................................................................................... 23 Orientations: ....................................................................................................................................................... 23 Beam Footprints: ................................................................................................................................................ 23 Absorbed Power and Irradiance: ....................................................................................................................... 24

APPENDIX D – ZEMAX COUDE OPTICAL DESIGN SPECIFICATION ....................... 25


SPEC-0029 Rev G Page 1 of 51

INTRODUCTION

The primary goal of this document is to describe, interpret, and graphically illustrate the relevant features

of the ATST optical design. Specifically it tabulates the following information for each optical element in

the system:

1. A functional description of each mirror, pupil and focal plane.

2. The optical prescription of the powered optics, including conic constant, radius of curvature, and

the location of the parent vertex.

3. The gut-ray intersection at each mirror, pupil, and focal plane.

4. The orientation of each mirror, pupil and focal plane. For off-axis conics the orientation of the

surface normal at the gut-ray intersection is listed, along with the orientation of the parent conic’s

axis.

5. The beam footprint (size and shape) on each mirror, pupil and focal plane in the local reference

frame of the element.

6. Total power absorbed by each mirror and the peak absorbed irradiance.

7. The irradiance distribution (power per unit area as a function of position) on each mirror.

8. The path taken by the beam through the optical elements that distribute light to each instrument

location.

1. OVERVIEW OF THE BASELINE MODEL

The fundamental source of information for this document is contained in two ZEMAX® files.

Specifically ATST_Coude_24AUG10.ZMX (Appendix D) specifies the optical prescription in the zenith-

pointing configuration.

1.1 SUBSYSTEM ORGANIZATION

For organizational purposes, the various optical elements have been divided into five subsystems based

on function. In general, mirrors and pupils are grouped together if they move together as the telescope

moves to track the sun and the coudé room moves to de-rotate the image.

OSS Gregorian Optics – This subsystem includes the entrance aperture, M1, M2, the Lyot

stop and the Gregorian focal plane. The optical elements, beam envelopes and the gut ray

move with the Optical Support Structure (OSS).

OSS Coudé Transfer Optics – This subsystem includes M3 and M4 which combine to place

the beam over the elevation axis. The optical elements, beam envelopes and the gut ray move

with the OSS.

Mount Base Assembly Coudé Transfer Optics – This subsystem includes M5 and M6

which combine to place the beam over the azimuth axis, directed towards the coudé room.

The pupil image P3, located near M5, is also part of this subsystem. The optical elements,

beam envelopes and the gut ray move with the Mount Base Assembly.

Coudé Rotator Optics – This subsystem includes M7, M8, M9, M10, and BS1, which

combine to make a horizontal, collimated beam for introduction into the coudé focal-plane

instrumentation. The pupil image P4, located near M10 is also part of this subsystem. The

optical elements, beam envelopes and the gut ray move with the Coudé Rotator.



Beam Distribution Optics This subsystem includes configurable optical elements that

direct the beam or beams to specific instrument locations within the coudé lab. These

elements have Coudé Location (CL) designations as they may be mirrors, dichroic beam

splitters, or windows.

1.2 FIELD OF VIEW REQUIREMENTS AND GOALS

The coudé FOV is required to be 2 arcmin square – or 2.83 arcmin round – for diffraction-limited

observations. A 5-arcmin FOV can alternatively be fed to coronal instrumentation (initially the Cryo-

NIRSP). The FOV requirement was reduced for diffraction-limited observations to reduce the heat loads

on all optics, and in particular on the deformable mirror, M10. The field of view can be switched between

5 arcmin and 2.83 arcmin via a field stop at the Gregorian focus. Mirrors M3 through M9 are sized to

accommodate the larger field of view.

1.3 IMAGE QUALITY REQUIREMENTS AND GOALS

Image quality requirements and goals for the telescope and instrumentation are spelled out in the ATST

Science Requirements Document (SRD), SPEC-0001. As the values stated therein are for the overall

telescope performance involving many sources of image degradation, the delivered image quality error

budgets are the practical source of manufacturing tolerances and performance requirements of the various

mirrors, control and correction systems. These are documented in the DKIST Error Budget document

SPEC-0009, and its associated spreadsheets. The seeing-limited error budgets (coronal and on-disk) are

the best sources of requirements on optical-system components as no correction is available from the

high-order adaptive optics system.



2. OPTICAL PRESCRIPTIONS

Table 2.1 gives the optical prescriptions for the individual mirror surfaces that are part of the DKIST

design.

Table 2.1

Element Conic Radius of Curve

Constant Curvature (mm)

OSS Gregorian Optics

M1 Primary -1 16,000 Concave

M2 Secondary/FSM -0.5393103 2,081.255 Concave

OSS Coudé Transfer Optics

M3 Fold Mirror – – Flat

M4 Relay Mirror -0.3717299 5,979.243 Concave

Mount Base Assembly Coudé Transfer Optics

M5 FSM – – Flat


Coudé Rotator Optics


M8 Collimator -1 21,442.354 Concave

M9 Coma Corrector – – Flat w/coma1

M10 Deformable Mirror – – Flat

BS1 WFC Beam Splitter – – Flat

Table 2.2 gives the global coordinates and orientations of the parent surfaces of the off-axis conics (M1,

M2, M4, and M8 in the DKIST coordinate system for the zenith pointing telescope. For gut-ray

intersection coordinates see table 3.1

Table 2.2

Element Vertex Coordinates (mm) Parent Conic Orientation2

x y z x y z

M1 Primary -539.248 -231.911 -1081.473 0 0 0

M2 Secondary -539.248 -231.911 8118.526 0 0 0

M4 Relay mirror -3951.315 -300.675 -23.058 -88.8697 -85.6147 -90.0000

M8 Collimator -4181.097 2000.000 -17150.000 0 90.0000 0

1

3

81.049 10Z

(Fringe Zernike coefficient)

2 The conic is created facing in the global z direction, then rotated through x, y, z, in that order. (See appendix

B, Rotation Conventions.)



3. LOCATIONS AND DIAMETERS

Table 3.1 summarizes the size and location of all optical elements, pupils, stops. The coordinate

conventions used to obtain these numbers are explained in Appendix B. The methodology used is

described in Appendix C. Figures 3.1 through 3.4 depict the relative locations of each element. The

diameters of the optical elements are the diameters of the blank. The beam footprint diameters are listed

in Section 5.

Table 3.1

Element Gut Ray Coordinates (mm) Diameter Description x y z (mm)


P1 Aperture Stop -539.248 3768.089 -365.165 4000(1)

Defines 4-meter aperture

M1 Primary -539.248 3768.089 -581.473 4240 Concave Paraboloid

F1 Prime Focus -539.248 -231.911 6918.526 12.2(2)

Located at heat stop

M2 Secondary/FSM -539.248 -826.222 8032.860 650 Concave Ellipsoid, FSM

P2 Lyot Stop -539.248 -725.264 6716.372 495x509(3)

Located below M2

F2 Gregorian Focus -539.248 -231.912 283.096 76.45(4)

Calibration pinholes, etc.


M3 Fold Mirror -539.248 -208.973 -16.026 175×140 Flat, rectangular shape

M4 Relay Mirror -3949.660 0.000 0.000 540 Concave Ellipsoid


P3 FSM Pupil 275.847 0.000 0.000 213×206 Very near M5

M5 FSM 324.760 0.000 0.000 275 Flat, Fast Steering Mirror

M6 Fold Mirror 0.000 0.000 187.500 275 Flat

F3 Intermediate Focus 0.000 0.000 -10516.820 315.519 Not used


M7 Fold Mirror 0.000 0.000 -17150.000 TBD Flat

M8 Collimator (OAP) -4087.824 0.000 -17150.000 TBD Concave Paraboloid

M9 Coma Corrector 6013.090 1900.829 -17150.000 TBD Nominal flat with coma term

M10 Deformable Mirror -4989.087 3710.707 -17150.000 214 Nominal Flat

BS1 WFC Beam Splitter -4293.059 3140.134 -17150.000 TBD Flat

Notes:

1

The aperture stop looks circular when viewed down the entrance gut ray, but is actually elliptical in

its own reference frame. Further, the offset above the primary mirror is approximate at this point,

and will likely change during detailed design of the M1 Assembly.

2 The image quality here is poor, so using this diameter does cause some vignette in the outer 10% of

the FOV. This was deemed acceptable by the coronal scientists. (See note 4.)

3 These values are the full beam dimension (footprint) in the reference frame of the Lyot stop. The

actual Lyot stop will have a clear aperture of roughly 90% of this. The exact dimension is still

TBD.

4 This is the diameter for the 5-arcmin field of view. The heat stop (first field stop) is specified to be

12.2 mm, which does cause vignetting in the outer 10% of the field of view. See TN-0097, The

GOS Optical Environment.



Figure 3.1. OSS Gregorian Optics (moving with the Optical

Support Structure).

Figure 3.2. The Coudé Transfer Optics include two groups of components. The OSS group (M3 and M4)

move with the Optical Support Structure as it rotates about the altitude axis. The other group consists of M5 and M6, which are fixed to the Mount Base Assembly.



Figure 3.3. The Coudé Rotator Optics include M7 through M10 (the deformable mirror) and BS1, the

beam splitter that reflects a small fraction of the beam into the wavefront correction system.



4. ORIENTATIONS

Table 4.1 gives the orientation of each optic according to the rotation conventions described in Appendix

B. As noted there, all mirrors are presumed created “shiny side up” (facing +z) and rotated through the

angles shown to their configuration in the zenith-pointing telescope. For the off-axis conics (M1, M2,

M4, and M8) the orientation of the parent surface is also relevant to the optical prescription. This is noted

in Table 2.2.

Table 4.1

Element Surface Normal Orientation

x y z


P1 Aperture Stop 14.036 0.000 0.000

M1 Primary 14.036 0.000 0.000

F1 Prime Focus 28.072 0.000 0.000

M2 Secondary/FSM 16.229 0.000 0.000

P2 Lyot Stop 28.341 0.000 0.000

F2 Gregorian Focus 4.385 0.000 0.000


M3 Fold Mirror 6.149 44.565 7.851

M4 Relay Mirror 0 -90.134 1.753


P3 FSM Pupil 0.000 -90.000 -15.010

M5 FSM 0.000 -75.000 0.000

M6 Fold Mirror 0.000 150.000 0.000

F3 Intermediate Focus -0.0152 0.000 0.000


M7 Fold Mirror 0.000 -45.000 0.000

M8 Collimator (OAP) 0.000 90.000 5.329

M9 Coma Corrector 0.000 -90.000 0.658

M10 Deformable Mirror 0.000 90.000 -24.343

BS1 WFC Beam Splitter 0.000 90.000 -24.343



5. BEAM FOOTPRINTS

Beam footprints were measured for both the required 2.83-arcmin field of view and for the 5-arcmin goal

field of view from M1 through M9. The footprint dimensions appear in Table 5.1 and spot diagrams in

Figures 5.1 through 5.4. All footprints were measured in the frame of reference of the mirror. In the case

of the off-axis conics, the viewpoint is looking down the surface normal at the gut-ray intersection (i.e., at

the center). Two dimensions are given because most of the footprints are roughly elliptical. The

dimensions are measured in millimeters, and represent the full major and minor dimensions (not semi-

major or semi-minor) of the ellipse.

Table 5.1 – Beam Footprints

Element 2.83 arcmin FOV 5 arcmin FOV

Dimension 1 Dimension 2 Dimension 1 Dimension 2


P1 Aperture Stop1 4674 4535 (same) (same)

M1 Primary 4123 4000 (same) (same)

F1 Prime Focus (same) (same) 13.6 13.6

M2 Secondary/FSM (same) (same) 607.1 620.4

P2 Lyot Stop2 (same) (same) 498.5 542.5

F2 Gregorian Focus 43.23 43.1 76.2 76.2


M3 Fold Mirror 100.1 70.7 145.2 102.5

M4 Relay Mirror 355.7 355.7 403.4 403.4


P3 FSM Pupil (same) (same) 213.2 205.9

M5 FSM 205.9 213.2 206.5 213.8

M6 Fold Mirror 204.8 236.5 210.1 242.6

F3 Intermediate Focus 177.8 177.9 314.4 314.5


M7 Fold Mirror 575.5 406.8 883.6 624.5

M8 Collimator 548.4 547.8 815.4 815.5

M9 Fold Mirror 387.7 381.8 521.2 529.2

M10 Deformable Mirror4 207.9 202.3 N/A N/A

BS1 WFC Beam Splitter 224.5 216.9 N/A N/A

Note 1: The size of the footprint on the cooled aperture stop depends on the size of the carousel opening. For this calculation a diameter of 4425 was assumed on the date when the sun appears largest. The larger dimension 2 is caused by the 14° tip of the aperture stop relative to the carousel opening.

Note 2: This should be reviewed as it is just the size of the image of P1 at the location of P2. In practice, when this is functioning as a Lyot stop in the coronal use case it wants to be undersized slightly.

Note 3: This is the full footprint of the aberrated image which ZEMAX computes to be 43.176 mm. When computing the plate scale at Gregorian it would be better to use the centroid of the PSF which ZEMAX computes to be 43.096 mm

Note 4: See Table 5.2 for fabrication tolerance impact on this pupil diameter.



Table 5.2 summarizes the change in size of the M10 pupil due to fabrication tolerances of the powered

mirrors M1, M2, M4 and M8 as well as the compensation required to return the pupil size to nominal and

the effect that compensation has on encircled energy of the M1 through M10 telescope model described

here (ATST_Coude_24Aug10.zmx).

Table 5.2

Optic

Paraxial R.O.C. Tolerance

(± mm) Compensator

Compensator Motion

(mm)

Pupil Diameter

1

(mm)

50% Encircled Energy Radius

2

(µm)

M1 15.0 M1 w.r.t. M23 7.0 203.90 17.80

M2 1.0 M1 w.r.t. M2

3

M2 w.r.t. GOS

0.577

3.63 204.10 18.13

M4 10.0 M4 w.r.t. M2 7.0 204.10 18.20

M8 50.0 M2 focus

M8 w.r.t. M7

0.010

30.0 204.10 18.27

Note 1: The nominal pupil radius perpendicular to the beam is 204.10mm. Note that this will be slightly

different from the footprint on M10.

Note 2: The nominal 50% encircled energy performance optimized over a 1.4 arc minute radius is 17.8

microns radius using an f/52 paraxial lens to create an image.

Note 3: M1 with respect to M2 distance adjustment is accomplished by shimming the TMA to M1

interface.



6. ABSORBED POWER AND IRRADIANCE

It is clear from the footprint diagrams in the preceding figures that many of the mirrors have non-uniform

irradiance distributions. It is relatively straightforward to calculate incident power and mean power per

unit area (irradiance) for the DKIST mirrors based on the footprint dimensions and some assumptions

about mirror reflectivity. In several cases, however, this will seriously underestimate the peak irradiance,

sometimes by more than a factor of three.

For thermal calculations the significant parameters are the total power absorbed within each mirror, and

the peak absorbed irradiance. The results for both the 2.83 and 5 arcmin fields of view are tabulated in

Table 6.1. It was assumed M1 is coated with bare aluminum at a reflectivity of 0.875, and the other

mirrors are coated with protected silver at a reflectivity of 0.950.

The incident (pre-reflection) irradiance distributions for both the 2.83 and 5 arcmin fields of view appear

in Figures 6.1 through 6.4.

Table 6.1 – Absorbed Power and Peak Absorbed Irradiance

Element 2.83 arcmin FOV 5 arcmin FOV

Absorbed Power (watts)

Peak Absorbed Irradiance (watts/m

2)

Absorbed Power (watts)

Peak Absorbed Irradiance (watts/m

2)


M1 Primary (same) (same) 1728 133

M2 Secondary/FSM (same) (same) 14.8 54


M3 Fold Mirror 4.5 2016 14.0 2059

M4 Relay Mirror 4.3 70 13.3 217


M5 FSM 4.1 126 12.7 389

M6 Fold Mirror 3.9 113 12.0 355


M7 Fold Mirror 3.7 41 11.4 43

M8 Collimator 3.5 37 10.9 37

M9 Fold Mirror 3.3 104 10.3 128

M10 Deformable Mirror 3.1 91 – –

BS1 WFC Beam Splitter TBD1 TBD

1 – –

1This cannot be estimated until the beam splitter and any coating has been specified.



Figure 6.1. Incident Irradiance Distributions for M1 through M3 for 2.8 and 5-arcmin field of view.



Figure 6.2. Incident irradiance distributions for M4 through M6 for 2.8 and 5-arcmin field of view.



Figure 6.3. Incident irradiance distributions for M7’ through M9 for 2.8 and 5-arcmin field of view. Note that Mirrors M9 through BS1 are only used for the 2.8-arcmin field of view.



Figure 6.4. Incident irradiance distributions for M10 and BS1.



7. COUDE LAB DISTRIBUTION OPICS NOMENCLATURE AND POSITIONS

By late 2014 the layout of the coudé lab for the first-generation instrument suite was completed and

stable. This section of this Optical Prescription document establishes the positions and orientations of the

windows, dichroic filters, and mirrors that are part of the DKIST facility optics. Instrument-specific fold

mirrors, beam splitters, and imaging optics are maintained by the instrument builders and are not

documented here.

As a supplement to this document, seven Zemax files have been created one for each instrument that

shows all the facility DKIST optics specific to each instrument. For simplicity and clarity sake the

various instrument feeds were not documented in a single Zemax file. Hence great care had to be taken to

make sure that the seven files are consistent between themselves wherever they share common optical

elements. The files are as follows:

File Name Instrument or Subsystem

FEED_DL-NIRSP.zmx Diffraction Limited Near IR Spectropolarimeter

FEED_VBI-BLUE.zmx Visible Broadband Imager, Blue Channel

FEED_VBI-RED.zmx Visible Broadband Imager, Red Channel

FEED_ViSP.zmx Visible Spectropolarimeter

FEED_VTF.zmx Visible Tunable Filter

FEED_WFC.zmx Wave Front Correction Subsystem

FEED_Cryo-NIRSP Cryogenic Near IR Spectropolarimeter

Like this document, these Zemax prescriptions are configuration controlled by the DKIST project.

The general mechanical layout of the DKIST coudé lab and its first-generation instruments appears in

figure 7.1. Figure 7.2 labels the beam distribution optics. Several features of the coudé distribution

optics must be emphasized:

The coudé distribution optics are configurable. They could be dichroic filters, windows, or

mirrors.

The locations of the distribution optics, however, are fixed. For this reason most of the

distribution optics are designated CL (Coudé Location). Two exceptions to this are WFC-BS1

and DLF-FM1, which are permanent and non-configurable. The former is the wavefront

correction beam splitter installed at CL1 and is part of the wavefront correction subsystem. The

latter is specific to the DL-NIRSP and is part of their optical design. The designation means DL

Feed, Fold Mirror 1.

Whether a distribution optical element is a window or a dichroic filter, all will be wedged 0.5

and be based on the same silica substrate. This affords a level of compensation for the

wavelength dispersion caused by the wedge.

A refractive element will never be removed, only replaced, or the transmitted beam sacrificed if a

mirror is inserted.

The location of the distribution optics is specified in terms of the ray intersection of the gut ray as

it traverses the distribution optics. As all instruments beyond WFC-BS1 will suffer at least one

refractive element, the gut ray intersections documented here are only correct at one wavelength,

which is 500 nm.



One configuration of the layout of the distribution optics is shown schematically in Figure 7.3. This will

likely be the first-light configuration.

Figure 7.1. The location of the first generation DKIST instruments in the coudé lab.



Figure 7.3. First-light coudé beam-distribution configuration shown schematically.

Figure 7.2. The location of the beam distribution optics in the DKIST coudé lab.



The positions and orientations of the beam distribution optics are summarized in the following table. All

coordinates are in the ATST global coordinate system and represent the intersection at each surface of a

500 nm gut ray. As there are no compound angles in any of these optical elements, the orientations are

specified in terms of the surface normal, specifically their rotation angles about z measured from the +x

axis toward +y. A negative angle implies measurements about z from +x toward –y. The surface normal

is assumed to be pointing away from the substrate (see figure 7.4 below the table).

Element Entry (Surface 1)

Surface Normal

Thickness Exit (Surface 2) Surface Normal

x (mm) y (mm) (Degrees) (mm) x (mm) y (mm) (Degrees)

M9a 92.647 2,874.753 161.658

WFC-BS1 -4,293.059 3,140.134 155.658 35 4,263.813 -4,263.813 -24.842

CL2 -3,567.907 2,554.476 125.901 43 -3,536.437 2,524.187 -53.599

CL2a -3,817.634 3,208.415 125.901 43 -3,836.580 3,247.771 -54.599

CL3 -2,840.893 1,954.010 155.657 43 -2,804.951 1,929.273 -24.843

CL3a -3,867.095 2,122.856 155.657 43 -3,909.515 2,133.550 -24.843

CL4 -2,109.049 1,363.747 125.901 43 -2,077.578 1,333.458 -53.599

DLF-FM1 -1,729.430 1,048.061 -174.343

The following table lists the gut ray direction upon exiting the final distribution optic for each of the first-

generation instruments. The exit angle uses the same sign conventions as described above. These values,

in combination with the global gut-ray coordinates, completely specify the location and direction of the

beam feeding each instrument or subsystem.

Figure 7.4. Surface normal orientations are measure from the x axis toward y for a ray proceeding in the

+x direction.



Instrument Ray Angle or Subsystem Last Optic Interaction (Degrees)

Cryo-NIRSP M9a Reflection -27.3434 Wavefront Correction WFC-BS1 Reflection 170.6584 VBI-Blue CL2a Reflection -39.0991 ViSP CL2a Transmission 111.1452 VTF CL3a Reflection -39.3434 VBI-Red CL3a Transmission 170.9023 DL-NIRSP DLF-FM1 Reflection -129.3428



APPENDIX A – CHANGES RELATIVE TO ZEMAX

Some of the work done to generate the information in this document was performed using ASAP rather

than ZEMAX as it is more flexible in dealing with extended sources. The following changes or extensions

were made in the ASAP model relative to the ZEMAX prescription:

All locations are translated from the ZEMAX global coordinate system to the DKIST system (see

Appendix B, Conventions, for a description of the relevant DKIST coordinate system).

The ZEMAX “Stop” (surface 2) was modeled with an outside diameter consistent with the

recommendations of TN-0062.

M3 (the first fold mirror) was cut to an elliptical shape to prevent vignetting of the goal five-arcmin

beam as it passes between M4 and M5.

The parent conic of M4was trimmed to an off-axis diameter sufficient to accommodate the full 5-

arcmin goal field of view, as the original ZEMAX files included the entire parent conic.

Mirrors were sized to accommodate the goal 5-arcmin field of view of DKIST, and then most mirrors

were resized to available stock mirror-blank sizes.



APPENDIX B – CONVENSIONS

Coordinate System

The DKIST project has adopted the optical

layout coordinate system describe in “SPEC-

0027_DKIST Coordinate System”. It is

summarized in Figure B-1. The origin of

coordinates is at the “crossover” point of the

mechanical altitude and azimuth axes. The x and

y axes are in the horizontal plane, and the z-axis

is vertical. “Up” is +z, and the primary mirror

(M1) is displaced in the +y direction. The

positive x direction is determined by the right-

hand rule. It presumes that the telescope is

pointed toward the zenith.

The Gut Ray

The single ray shown in the figure is the so-

called “gut ray” of the system. It begins directly

above the center of the projection of the primary

mirror parallel to the z-axis. The gut ray

intersects the center of each optical element.

The precise intersection points of this ray are

given in global coordinates for each object in the

system, presuming that the telescope is pointed

to zenith.

Rotation Conventions

Special attention needs to be paid to coordinate-

rotation conventions. The convention adopted here is to use compound rotations relative to a fixed, non-

rotating coordinate system. Note that this differs from competing conventions, such as Euler angles,

where the coordinate axes rotate along with the rigid body undergoing rotation.

For any rotation to be expressed in an unambiguous way, the point about which the rotation takes place

must also be specified. For the system used here the rotation is performed around a specified point called

the reference point of the object. For flat mirrors, this will be the center of the mirror (the gut ray

coordinates), but for off-axis conics it will be given both for the vertex of the parent conic, and relative to

the gut-ray intercept. The location of this point is always expressed in the global coordinate system

defined above.

The actual rotation of any object begins by translating the global coordinate axes to the reference point of

the object undergoing rotation. This is done in such a way that the new “local” x, y and z axes are parallel

to their global counterparts. It is presumed that all objects are created “face up” with the reflecting side

facing the + z direction. Then the rotations are performed first about the local x axis, then about the local

un-rotated y axis, then about the local un-rotated z axis. The order of rotation matters.

Note that the ZEMAX convention is to create the conic so that its vertex is perpendicular to the z-axis.

The rotation then proceeds from this initial orientation. All of the objects in this model, including the

Figure B-1 The ATST Coordinate System.



pupil positions that were not part of the original ZEMAX file, follow this convention even though some

of the objects are more nearly normal to the x-axis.

Vertex Radius of Curvature

Six of the mirrors – M1, M2, M4, M7, M10 and M11 – have power. Each is specified in terms of its

vertex radius of curvature and a conic constant. A positive radius of curvature implies that the center of

curvature is in the positive direction along the axis of the conic. As noted above all objects were initially

created relative to the global z-axis and then rotated into position, so the sign on the radius of curvature

refers to the pre-rotation axis of the

conic.

Surface Normals

For each off-axis mirror in the system

the direction of the surface normal is

given at the point where the gut ray

intersects the mirror. This can be

thought of very roughly as the

direction in which the mirror is

“pointed” in its own coordinate

system, which will generally be

different from the rotation applied to

the parent conic. The figure to the

right shows this surface normal (the

dashed line) for M1 when it is pointed

to zenith. While the axis of the parent

paraboloid is parallel to the gut ray,

the mirror appears to be looking someplace else. Knowing the direction of the surface normal is useful

for modeling these objects approximately if the solid model does not include the optical surface in

mathematical detail.

While ZEMAX and ASAP express surface normals as direction cosines, the values in the tables for each

optical element have been converted to rotation angles to be consistent with the rotation conventions

described above. Note that these are expressed in the table as x, y, z, though one of these will always

be zero; only two coordinates are necessary to express a direction in space.

Figure B-2. Gut ray.



APPENDIX C – METHODOLOGY

Optical Prescriptions:

The optical prescription conic constant and radius of curvature parameters are copied directly out of the

ZEMAX file. All Radii of curvature are reported as positive, with the surface explicitly identified as

convex or concave to avoid confusion. The offset between the parent vertex and aperture center for each

conic was determined using the ZEMAX “Analysis>Calculations>Ray Trace” tool, with “Local

Coordinates” selected in the “Settings” dialog.

Locations and Diameters:

The locations listed in Table 2.1 are gut-ray coordinates for the zenith-pointing telescope as described in

Appendix B. They were derived using ZEMAX. The “Cross Position” surface must be set as the origin

of coordinates. Then the gut ray positions are calculated using the “Analysis>Calculations>Ray Trace”

tool, with “Global Coordinates” selected in the “Settings” dialog. The sign on the y and z coordinates

were changed to correspond to the DKIST coordinate system, which is flipped 180° about the x axis

relative to ZEMAX global coordinates. These values were compared with those obtained in the ASAP

model using the TRACE DIR command. This uncovered round-off errors in the ZEMAX to ASAP

translation which became as large as 0.05 mm. Figures 2.1 through 2.4 were generated using the ASAP

3-D viewer.

The pupils are not modeled in the ZEMAX file. As noted in Appendix A, the entrance stop used in

ZEMAX does not correspond to the planned cooled entrance aperture designed as part of the M1 mirror

cell. After including the appropriate entrance stop in the ASAP model, point sources were created at four

positions separated by 90° around its inside diameter, and traced to find their focal positions throughout

the optical system. Planes were fit to the four points focused at P2 (Lyot stop), P3 (near M5), and P4

(near M9) to determine their orientations. For P5 (the virtual pupil between M11 and M12), the same

point sources were traced to M11, allowed to changed direction after the reflection, their trajectories were

reversed, and the sources traced back to best focus. The dimensions of the pupils were determined by

measuring the footprint dimensions in ASAP as described under Beam Footprints below.

Orientations:

The orientations of each flat optical element and the parent conics were determined using the ASAP

MATRIX PRINT command surface by surface. That command also provides the appropriate x, y, z

rotation angles per the rotation conventions described in Appendix B, and listed in Table 3.1. The

orientations based on the surface normal at the gut-ray intersection points were determined from the

direction cosine values of the surface normal, provided by the ASAP TRACE DIR command.

Beam Footprints:

The beam footprints were generally determined an extended source model in ASAP (see TN-0013,

Microroughness and Dust for a description of the model). After tracing the extended source through the

DKIST optical system (including field stops at the heat stop and at the Gregorian focus). After tracing

about 4 million rays up to each mirror, the mirror and rays were rotated into the frame of reference of the

mirror. The ASAP EXTREME POSITIONS command was used to find the maximum extent of the

footprint in the new reference frame. An ellipse containing all of the rays was then superposed over the

spots and mirror model. The footprint sizes calculated with ASAP for the telescope mirrors were

confirmed in ZEMAX using the Analysis>Footprints tools, but this could not be used at the pupils as they

are not modeled in ZEMAX.



Absorbed Power and Irradiance:

The absorbed power values were calculated simply by starting with an assumed irradiance 1100 watts/m2

at the primary, calculating the total power within the elliptical footprint on the tipped primary, and

reducing the power at each surface based on the reflectivity of the previous surface.

Irradiance distributions and peak incident irradiance values were calculated using the same ASAP

extended source used to calculate the footprint dimensions.



APPENDIX D – ZEMAX COUDE OPTICAL DESIGN SPECIFICATION

VERS 100414 12272 26825

MODE SEQ

NAME ATST

NOTE 0 CoudeAdjust5

UNIT MM X W X CM MR CPMM

ENPD 4.0E+3

ENVD 2.0E+1 1 1

GFAC 0 0

GCAT SCHOTT MISC

RAIM 0 2 1 1 0 1 0 0 0

PUSH 0 0 0 0 0 0

SDMA 0 1 0

FTYP 0 0 9 1 0 0 0

ROPD 2

PICB 1

XFLD 0 1.2E-2 -1.2E-2 1.2E-2 -1.2E-2 2.33E-2 -2.33E-2 0 0

XFLN 0 1.2E-2 -1.2E-2 1.2E-2 -1.2E-2 2.33E-2 -2.33E-2 0 0 0 -3.5E-2 3.5E-2

YFLD 0 1.2E-2 1.2E-2 -1.2E-2 -1.2E-2 0 0 2.33E-2 -2.33E-2

YFLN 0 1.2E-2 1.2E-2 -1.2E-2 -1.2E-2 0 0 2.33E-2 -2.33E-2 3.5E-2 0 0

FWGT 1 1 1 1 1 2 2 2 1

FWGN 1 1 1 1 1 2 2 2 1 1 1 1

ZVDX 0 0 0 0 0 0 0 0 0

VDXN 0 0 0 0 0 0 0 0 0 0 0 0

ZVDY 0 0 0 0 0 0 0 0 0

VDYN 0 0 0 0 0 0 0 0 0 0 0 0

ZVCX 0 0 0 0 0 0 0 0 0

VCXN 0 0 0 0 0 0 0 0 0 0 0 0

ZVCY 0 0 0 0 0 0 0 0 0

VCYN 0 0 0 0 0 0 0 0 0 0 0 0

ZVAN 0 0 0 0 0 0 0 0 0

VANN 0 0 0 0 0 0 0 0 0 0 0 0

WAVL 5.0E-1

WAVN 5.0E-1 5.5E-1 5.5E-1 5.5E-1 5.5E-1 5.5E-1 5.5E-1 5.5E-1 5.5E-1 5.5E-1 5.5E-1 5.5E-1

WWGT 1

WWGN 1 1 1 1 1 1 1 1 1 1 1 1

WAVM 1 5.0E-1 1

WAVM 2 5.5E-1 1

WAVM 3 5.5E-1 1

WAVM 4 5.5E-1 1

WAVM 5 5.5E-1 1

WAVM 6 5.5E-1 1

WAVM 7 5.5E-1 1

WAVM 8 5.5E-1 1

WAVM 9 5.5E-1 1

WAVM 10 5.5E-1 1

WAVM 11 5.5E-1 1

WAVM 12 5.5E-1 1

WAVM 13 5.5E-1 1

WAVM 14 5.5E-1 1

WAVM 15 5.5E-1 1

WAVM 16 5.5E-1 1

WAVM 17 5.5E-1 1

WAVM 18 5.5E-1 1

WAVM 19 5.5E-1 1

WAVM 20 5.5E-1 1

WAVM 21 5.5E-1 1

WAVM 22 5.5E-1 1

WAVM 23 5.5E-1 1

WAVM 24 5.5E-1 1

PWAV 1

POLS 1 0 1 0 0 1 0

GLRS 36 0

GSTD 0 100.000 100.000 100.000 100.000 100.000 100.000 0 1 1 0 0 1 1 1 1 1 1

NSCD 100 500 0 1.0E-6 5 1.0E-6 0 0 0 0 0 0 1000000 0

COFN COATING.DAT SCATTER_PROFILE.DAT ABG_DATA.DAT PROFILE.GRD

SURF 0

TYPE STANDARD



CURV 0.0 0 0 0 0 ""

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 1

DISZ INFINITY

DIAM 0 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 1

TYPE STANDARD

CURV 0.0 0 0 0 0 ""

HIDE 0 0 1 0 0 0 0 0 0 0

MIRR 2 0

SLAB 16

DISZ 9.0E+3

DIAM 2.003862739954E+3 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 2

STOP

TYPE STANDARD

CURV 0.0 0 0 0 0 ""

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 2

SCBD 1 0 0 0.000000000000E+000 0.000000000000E+000 1.400000000000E+001 0.000000000000E+000

0.000000000000E+000

SCBD 2 0 0 0.000000000000E+000 0.000000000000E+000 -1.400000000000E+001 0.000000000000E+000

0.000000000000E+000

DISZ 7.4E+2

DIAM 2.061227264295E+3 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

FLAP 0 2.061227264295E+3 0

SURF 3

TYPE COORDBRK

CURV 0.0 0 0.0 0.0 0

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 6

PARM 1 0

PARM 2 4.0E+3

PARM 3 0

PARM 4 0

PARM 5 0

PARM 6 0

DISZ 0

DIAM 0 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 4

COMM M1

TYPE STANDARD

CURV -6.250000000000000100E-005 0 0 0 0 ""

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 4

DISZ -8.E+3

GLAS MIRROR 0 0 1.5 4.0E+1 0 0 0 0 0 0

CONI -1.

DIAM 6.00004621793E+3 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

CLAP 0 2.2E+3 0

OBDC 0.000000000000E+000 -4.000000000000E+003

SURF 5

TYPE STANDARD

CURV 0.0 0 0 0 0 ""

HIDE 0 0 1 0 0 0 0 0 0 0

MIRR 2 0

SLAB 15

DISZ -1.2E+3

DIAM 4.926945630826 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 6

COMM M2



TYPE STANDARD

CURV 4.804792732326999900E-004 0 0 0 0 ""

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 5

DISZ 0

GLAS MIRROR 0 0 1.5 4.0E+1 0 0 0 0 0 0

CONI -5.393103450542E-1

DIAM 8.850929298672E+2 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

CLAP 0 4.0E+2 0

OBDC 0.000000000000E+000 6.000000000000E+002

SURF 7

TYPE COORDBRK

CURV 0.0 0 0.0 0.0 0

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 7

PARM 1 0

PARM 2 6.008808569938E+2

PARM 3 4.385293018271

PARM 4 0

PARM 5 0

PARM 6 0

DISZ 0

DIAM 0 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 8

TYPE STANDARD

CURV 0.0 0 0 0 0 ""

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 8

DISZ 2.0E+3

DIAM 3.051454149943E+2 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 9

TYPE STANDARD

CURV 0.0 0 0 0 0 ""

HIDE 0 0 1 0 0 0 0 0 0 0

MIRR 2 0

SLAB 28

DISZ 5.5E+3

DIAM 2.266975882E+2 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 10

TYPE STANDARD

CURV 0.0 0 0 0 0 ""

HIDE 0 0 1 0 0 0 0 0 0 0

MIRR 2 0

SLAB 33

DISZ 3.35E+2

DIAM 3.385510891289E+1 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 11

TYPE STANDARD

CURV 0.0 0 0 0 0 ""

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 3

DISZ 2.343666699902E+1

DIAM 2.216739599669E+1 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 12

COMM GREGORIAN FOCUS

TYPE STANDARD

CURV 7.894581035351172600E-004 0 0 0 0 ""

HIDE 0 0 1 0 0 0 0 0 0 0

MIRR 2 0

SLAB 17

DISZ 0



DIAM 2.134344727417E+1 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 13

TYPE STANDARD

CURV 0.0 0 0 0 0 ""

HIDE 0 0 1 0 0 0 0 0 0 0

MIRR 2 0

SLAB 32

DISZ 3.0E+2

DIAM 2.134972126356E+1 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 14

TYPE COORDBRK

CURV 0.0 0 0.0 0.0 0

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 38

PARM 1 0

PARM 2 0

PARM 3 0

PARM 4 0

PARM 5 3.516679214206

PARM 6 0

DISZ 0

DIAM 0 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 15

TYPE COORDBRK

CURV 0.0 0 0.0 0.0 0

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 12

PARM 1 0

PARM 2 0

PARM 3 0

PARM 4 4.5E+1

PARM 5 0

PARM 6 0

DISZ 0

DIAM 0 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 16

COMM M3

TYPE STANDARD

CURV 0.0 0 0 0 0 ""

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 11

DISZ 0

GLAS MIRROR 0 0 1.5 4.0E+1 0 0 0 0 0 0

DIAM 4.973943125571E+1 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 17

TYPE COORDBRK

CURV 0.0 0 0.0 0.0 0

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 13

PARM 1 0

PARM 2 0

PARM 3 0

PARM 4 4.5E+1

PARM 5 0

PARM 6 0

DISZ 0

DIAM 0 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 18

TYPE STANDARD

CURV 0.0 0 0 0 0 ""

HIDE 0 0 0 0 0 0 0 0 0 0



MIRR 2 0

SLAB 37

DISZ -3.4E+3

DIAM 3.376913476311E+1 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 19

TYPE COORDBRK

CURV 0.0 0 0.0 0.0 0

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 29

PARM 1 0

PARM 2 3.010912081665E+2

PARM 3 4.646983836369

PARM 4 0

PARM 5 0

PARM 6 0

DISZ 0

DIAM 0 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 20

COMM M4 REIMAGE MIRROR

TYPE STANDARD

CURV 1.672452514698000100E-004 0 0 0 0 ""

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 9

DISZ 0

GLAS MIRROR 0 0 1.5 4.0E+1 0 0 0 0 0 0

CONI -3.717299057541E-1

DIAM 4.767345216433E+2 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 21

TYPE COORDBRK

CURV 0.0 0 0.0 0.0 0

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 30

PARM 1 0

PARM 2 -3.010912081665E+2

PARM 3 -4.646983836369

PARM 4 0

PARM 5 0

PARM 6 0

DISZ 0

DIAM 0 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 22

TYPE COORDBRK

CURV 0.0 0 0.0 0.0 0

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 24

PARM 1 0

PARM 2 -5.259607607754E-1

PARM 3 3.516679301626

PARM 4 0

PARM 5 0

PARM 6 0

DISZ 0

DIAM 0 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 23

TYPE STANDARD

CURV 0.0 0 0 0 0 ""

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 26

DISZ 0

DIAM 1.759353511528E+2 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0



SURF 24

COMM ATITUDE ROTATE

TYPE COORDBRK

CURV 0.0 0 0.0 0.0 0

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 25

PARM 1 0

PARM 2 0

PARM 3 0

PARM 4 0

PARM 5 -4.385293

PARM 6 0

DISZ 0

DIAM 0 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 25

TYPE STANDARD

CURV 0.0 0 0 0 0 ""

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 35

DISZ 3.957221878441E+3

DIAM 1.759353511528E+2 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 26

TYPE STANDARD

CURV 0.0 0 0 0 0 ""

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 34

DISZ 1.64759526419E+2

DIAM 0 1 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 27

TYPE STANDARD

CURV 0.0 0 0 0 0 ""

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 21

DISZ 1.6E+2

DIAM 1.051809773985E+2 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 28

TYPE COORDBRK

CURV 0.0 0 0.0 0.0 0

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 19

PARM 1 0

PARM 2 0

PARM 3 0

PARM 4 -1.5E+1

PARM 5 0

PARM 6 0

DISZ 0

DIAM 0 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 29

COMM M5 FSM

TYPE STANDARD

CURV 0.0 0 0 0 0 ""

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 18

DISZ 0

GLAS MIRROR 0 0 1.5 4.0E+1 0 0 0 0 0 0

DIAM 1.065645712397E+2 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 30

TYPE COORDBRK



CURV 0.0 0 0.0 0.0 0

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 20

PARM 1 0

PARM 2 0

PARM 3 0

PPAR 3 28 1.000000000000E+000 0.000000000000E+000 0

PARM 4 -1.5E+1

PARM 5 0

PARM 6 0

DISZ -3.75E+2

DIAM 0 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 31

TYPE COORDBRK

CURV 0.0 0 0.0 0.0 0

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 56

PARM 1 0

PARM 2 0

PARM 3 0

PARM 4 -3.E+1

PARM 5 0

PARM 6 0

DISZ 0

DIAM 0 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 32

COMM M6

TYPE STANDARD

CURV 0.0 0 0 0 0 ""

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 53

DISZ 0

GLAS MIRROR 0 0 1.5 4.0E+1 0 0 0 0 0 0

DIAM 1.183212085519E+2 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 33

COMM AZIMUTH ROTATE

TYPE COORDBRK

CURV 0.0 0 0.0 0.0 0

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 31

PARM 1 0

PARM 2 0

PARM 3 0

PARM 4 -3.E+1

PARM 5 0

PARM 6 0

DISZ 0

DIAM 0 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 34

TYPE STANDARD

CURV 0.0 0 0 0 0 ""

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 43

DISZ 1.875E+2

DIAM 1.025841473228E+2 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 35

COMM Coordinate XFRM

TYPE COORDBRK

CURV 0.0 0 0.0 0.0 0

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0



SLAB 59

PARM 1 0

PARM 2 0

PARM 3 1.8E+2

PARM 4 0

PARM 5 0

PARM 6 0

DISZ 0

DIAM 0 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 36

COMM Cross El and Az

TYPE STANDARD

CURV 0.0 0 0 0 0 ""

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 58

DISZ 0

DIAM 1.023257315724E+2 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 37

COMM To SPEC-27

TYPE COORDBRK

CURV 0.0 0 0.0 0.0 0

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 59

PARM 1 0

PARM 2 0

PARM 3 1.8E+2

PARM 4 0

PARM 5 0

PARM 6 0

DISZ 1.0517E+4

DIAM 0 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 38

COMM Int Focal Plane

TYPE STANDARD

CURV 0.0 0 0 0 0 ""

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 46

DISZ 6.633E+3

DIAM 8.802622319321E+1 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 39

TYPE COORDBRK

CURV 0.0 0 0.0 0.0 0

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 45

PARM 1 0

PARM 2 0

PARM 3 0

PARM 4 4.5E+1

PARM 5 0

PARM 6 0

DISZ 0

DIAM 0 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 40

COMM M7

TYPE STANDARD

CURV 0.0 0 0 0 0 ""

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 40

DISZ 0

GLAS MIRROR 0 0 1.5 4.0E+1 0 0 0 0 0 0

DIAM 2.900752529532E+2 0 0 0 1 ""



POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 41

TYPE COORDBRK

CURV 0.0 0 0.0 0.0 0

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 47

PARM 1 0

PARM 2 0

PARM 3 0

PARM 4 4.5E+1

PARM 5 0

PARM 6 0

DISZ -4.181097479E+3

DIAM 0 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 42

TYPE COORDBRK

CURV 0.0 0 0.0 0.0 0

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 41

PARM 1 0

PARM 2 -2.E+3

PARM 3 0

PARM 4 0

PARM 5 0

PARM 6 0

DISZ 0

DIAM 0 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 43

COMM M8 OAP

TYPE STANDARD

CURV 4.663667053362281300E-005 0 0 0 2 ""

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 39

DISZ 0

GLAS MIRROR 0 0 1.5 4.0E+1 0 0 0 0 0 0

CONI -1.

DIAM 2.271280056086E+3 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 44

TYPE COORDBRK

CURV 0.0 0 0.0 0.0 0

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 42

PARM 1 0

PARM 2 1.982750067628E+3

PPAR 2 -1 1 0

PARM 3 1.065750202206E+1

PPAR 3 -1 1 0

PARM 4 0

PARM 5 0

PARM 6 1

DISZ 1.0E+4

DIAM 0 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 45

TYPE COORDBRK

CURV 0.0 0 0.0 0.0 0

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 36

PARM 1 0

PARM 2 0

PARM 3 -1.E+1

PARM 4 0

PARM 5 0



PARM 6 0

DISZ 0

DIAM 0 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 46

COMM M9

TYPE FZERNSAG

CURV 0.0 0 0 0 0 ""

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 22

PARM 0 1

PARM 1 0

PARM 2 0

PARM 3 0

PARM 4 0

PARM 5 0

PARM 6 0

PARM 7 0

PARM 8 0

PARM 9 0

PARM 10 0

XDAT 1 8.000000000000E+000 0 0 1.000000000000E+000 0.000000000000E+000 0 ""

XDAT 2 2.660000000000E+002 0 0 1.000000000000E+000 0.000000000000E+000 0 ""

XDAT 3 0.000000000000E+000 0 0 1.000000000000E+000 0.000000000000E+000 0 ""

XDAT 4 0.000000000000E+000 0 0 1.000000000000E+000 0.000000000000E+000 0 ""

XDAT 5 0.000000000000E+000 0 0 1.000000000000E+000 0.000000000000E+000 0 ""

XDAT 6 0.000000000000E+000 0 0 1.000000000000E+000 0.000000000000E+000 0 ""

XDAT 7 0.000000000000E+000 0 0 1.000000000000E+000 0.000000000000E+000 0 ""

XDAT 8 0.000000000000E+000 0 0 1.000000000000E+000 0.000000000000E+000 0 ""

XDAT 9 0.000000000000E+000 0 0 1.000000000000E+000 0.000000000000E+000 0 ""

XDAT 10 -1.049023140666E-003 0 0 1.000000000000E+000 0.000000000000E+000 0 ""

DISZ 0

GLAS MIRROR 0 0 1.5 4.0E+1 0 0 0 0 0 0

DIAM 1.935109953955E+2 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 47

TYPE COORDBRK

CURV 0.0 0 0.0 0.0 0

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 44

PARM 1 0

PARM 2 0

PARM 3 -1.E+1

PARM 4 0

PARM 5 0

PARM 6 0

DISZ -1.115E+4

DIAM 0 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 48

TYPE COORDBRK

CURV 0.0 0 0.0 0.0 0

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 51

PARM 1 0

PARM 2 0

PARM 3 -1.5E+1

PARM 4 0

PARM 5 0

PARM 6 0

DISZ 0

DIAM 0 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 49

COMM M10 DM

TYPE STANDARD

CURV -0.0 0 0 0 0 ""

HIDE 0 0 0 0 0 0 0 0 0 0



MIRR 2 0

SLAB 50

DISZ 0

GLAS MIRROR 0 0 1.5 4.0E+1 0 0 0 0 0 0

DIAM 1.054250802156E+2 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 50

TYPE COORDBRK

CURV 0.0 0 0.0 0.0 0

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 52

PARM 1 0

PARM 2 0

PARM 3 -1.5E+1

PARM 4 0

PARM 5 0

PARM 6 0

DISZ 9.0E+2

DIAM 0 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 51

TYPE COORDBRK

CURV 0.0 0 0.0 0.0 0

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 70

PARM 1 0

PARM 2 0

PARM 3 1.5E+1

PARM 4 0

PARM 5 0

PARM 6 0

DISZ 0

DIAM 0 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 52

COMM BS1 Surface 1

TYPE STANDARD

CURV 0.0 0 0 0 0 ""

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 91

DISZ 3.5E+1

GLAS SILICA 0 0 1.5 4.0E+1 0 0 0 0 0 0

DIAM 1.25E+2 1 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

FLAP 0 1.25E+2 0

SURF 53

TYPE COORDBRK

CURV 0.0 0 0.0 0.0 0

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 93

PARM 1 0

PARM 2 0

PARM 3 -5.E-1

PARM 4 0

PARM 5 0

PARM 6 0

DISZ 0

DIAM 0 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 54

COMM BS1 Surface 2

TYPE STANDARD

CURV 0.0 0 0 0 0 ""

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 92

DISZ 0



DIAM 1.187371364142E+2 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 55

TYPE COORDBRK

CURV 0.0 0 0.0 0.0 0

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 94

PARM 1 0

PARM 2 0

PARM 3 -1.425659609248E+1

PPAR 3 -1 1 5

PARM 4 0

PARM 5 0

PARM 6 0

DISZ 9.0E+2

DIAM 0 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 56

TYPE COORDBRK

CURV 0.0 0 0.0 0.0 0

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 76

PARM 1 0

PARM 2 0

PARM 3 0

PARM 4 0

PARM 5 0

PARM 6 0

DISZ 0

DIAM 0 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 57

COMM Paraxial Lens

TYPE PARAXIAL

CURV 0.0 0 0.0 0.0 0

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 75

PARM 1 1.043513944077E+4

PARM 2 1

DISZ 1.052388435121E+4

DIAM 1.221665297469E+2 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 58

TYPE COORDBRK

CURV 0.0 0 0.0 0.0 0

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 54

PARM 1 0

PARM 2 0

PARM 3 -1.088716349572E+1

PARM 4 0

PARM 5 0

PARM 6 0

DISZ 0

DIAM 0 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

SURF 59

TYPE STANDARD

CURV 0.0 0 0 0 0 ""

HIDE 0 0 0 0 0 0 0 0 0 0

MIRR 2 0

SLAB 65

DISZ 0

DIAM 8.620438836402E+1 0 0 0 1 ""

POPS 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0

CONF 1 0 0 0 0 0 0 0 0 0

DMFS 0 0 0 0 0 0 0 0 0 0



WFNO 0 0 0 0 0 0 5.2E+1 1 0 0

BLNK No default air thickness boundary constraints.

BLNK No default glass thickness boundary constraints.

BLNK Operands for field 1.

OPDX 0 1 0 0 1.678553E-1 2.90734E-1 0 3.001228E-3 0 0

OPDX 0 1 0 0 3.535534E-1 6.123724E-1 0 4.801964E-3 0 0

OPDX 0 1 0 0 4.709826E-1 8.157657E-1 0 3.001228E-3 0 0

OPDX 0 1 0 0 3.357107E-1 0 0 3.001228E-3 0 0

OPDX 0 1 0 0 7.071068E-1 0 0 4.801964E-3 0 0

OPDX 0 1 0 0 9.419651E-1 0 0 3.001228E-3 0 0

OPDX 0 1 0 0 1.678553E-1 -2.90734E-1 0 3.001228E-3 0 0

OPDX 0 1 0 0 3.535534E-1 -6.123724E-1 0 4.801964E-3 0 0

OPDX 0 1 0 0 4.709826E-1 -8.157657E-1 0 3.001228E-3 0 0

OPDX 0 1 0 0 -1.678553E-1 -2.90734E-1 0 3.001228E-3 0 0

OPDX 0 1 0 0 -3.535534E-1 -6.123724E-1 0 4.801964E-3 0 0

OPDX 0 1 0 0 -4.709826E-1 -8.157657E-1 0 3.001228E-3 0 0

OPDX 0 1 0 0 -3.357107E-1 2.570596E-16 0 3.001228E-3 0 0

OPDX 0 1 0 0 -7.071068E-1 5.414442E-16 0 4.801964E-3 0 0

OPDX 0 1 0 0 -9.419651E-1 7.212795E-16 0 3.001228E-3 0 0

OPDX 0 1 0 0 -1.678553E-1 2.90734E-1 0 3.001228E-3 0 0

OPDX 0 1 0 0 -3.535534E-1 6.123724E-1 0 4.801964E-3 0 0

OPDX 0 1 0 0 -4.709826E-1 8.157657E-1 0 3.001228E-3 0 0

OPDX 0 1 0 0 1.678553E-1 2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 3.535534E-1 6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 0 4.709826E-1 8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 3.357107E-1 0 0 2.308637E-3 0 0

OPDX 0 1 0 0 7.071068E-1 0 0 3.693819E-3 0 0

OPDX 0 1 0 0 9.419651E-1 0 0 2.308637E-3 0 0

OPDX 0 1 0 0 1.678553E-1 -2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 3.535534E-1 -6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 0 4.709826E-1 -8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 -1.678553E-1 -2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 -3.535534E-1 -6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 0 -4.709826E-1 -8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 -3.357107E-1 2.570596E-16 0 2.308637E-3 0 0

OPDX 0 1 0 0 -7.071068E-1 5.414442E-16 0 3.693819E-3 0 0

OPDX 0 1 0 0 -9.419651E-1 7.212795E-16 0 2.308637E-3 0 0

OPDX 0 1 0 0 -1.678553E-1 2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 -3.535534E-1 6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 0 -4.709826E-1 8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 1.678553E-1 2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 3.535534E-1 6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 0 4.709826E-1 8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 3.357107E-1 0 0 2.308637E-3 0 0

OPDX 0 1 0 0 7.071068E-1 0 0 3.693819E-3 0 0

OPDX 0 1 0 0 9.419651E-1 0 0 2.308637E-3 0 0

OPDX 0 1 0 0 1.678553E-1 -2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 3.535534E-1 -6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 0 4.709826E-1 -8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 -1.678553E-1 -2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 -3.535534E-1 -6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 0 -4.709826E-1 -8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 -3.357107E-1 2.570596E-16 0 2.308637E-3 0 0

OPDX 0 1 0 0 -7.071068E-1 5.414442E-16 0 3.693819E-3 0 0

OPDX 0 1 0 0 -9.419651E-1 7.212795E-16 0 2.308637E-3 0 0

OPDX 0 1 0 0 -1.678553E-1 2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 -3.535534E-1 6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 0 -4.709826E-1 8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 1.678553E-1 2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 3.535534E-1 6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 0 4.709826E-1 8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 3.357107E-1 0 0 2.308637E-3 0 0

OPDX 0 1 0 0 7.071068E-1 0 0 3.693819E-3 0 0

OPDX 0 1 0 0 9.419651E-1 0 0 2.308637E-3 0 0

OPDX 0 1 0 0 1.678553E-1 -2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 3.535534E-1 -6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 0 4.709826E-1 -8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 -1.678553E-1 -2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 -3.535534E-1 -6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 0 -4.709826E-1 -8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 -3.357107E-1 2.570596E-16 0 2.308637E-3 0 0



OPDX 0 1 0 0 -7.071068E-1 5.414442E-16 0 3.693819E-3 0 0

OPDX 0 1 0 0 -9.419651E-1 7.212795E-16 0 2.308637E-3 0 0

OPDX 0 1 0 0 -1.678553E-1 2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 -3.535534E-1 6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 0 -4.709826E-1 8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 1.678553E-1 2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 3.535534E-1 6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 0 4.709826E-1 8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 3.357107E-1 0 0 2.308637E-3 0 0

OPDX 0 1 0 0 7.071068E-1 0 0 3.693819E-3 0 0

OPDX 0 1 0 0 9.419651E-1 0 0 2.308637E-3 0 0

OPDX 0 1 0 0 1.678553E-1 -2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 3.535534E-1 -6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 0 4.709826E-1 -8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 -1.678553E-1 -2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 -3.535534E-1 -6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 0 -4.709826E-1 -8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 -3.357107E-1 2.570596E-16 0 2.308637E-3 0 0

OPDX 0 1 0 0 -7.071068E-1 5.414442E-16 0 3.693819E-3 0 0

OPDX 0 1 0 0 -9.419651E-1 7.212795E-16 0 2.308637E-3 0 0

OPDX 0 1 0 0 -1.678553E-1 2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 -3.535534E-1 6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 0 -4.709826E-1 8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 1.678553E-1 2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 3.535534E-1 6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 0 4.709826E-1 8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 3.357107E-1 0 0 2.308637E-3 0 0

OPDX 0 1 0 0 7.071068E-1 0 0 3.693819E-3 0 0

OPDX 0 1 0 0 9.419651E-1 0 0 2.308637E-3 0 0

OPDX 0 1 0 0 1.678553E-1 -2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 3.535534E-1 -6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 0 4.709826E-1 -8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 -1.678553E-1 -2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 -3.535534E-1 -6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 0 -4.709826E-1 -8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 -3.357107E-1 2.570596E-16 0 2.308637E-3 0 0

OPDX 0 1 0 0 -7.071068E-1 5.414442E-16 0 3.693819E-3 0 0

OPDX 0 1 0 0 -9.419651E-1 7.212795E-16 0 2.308637E-3 0 0

OPDX 0 1 0 0 -1.678553E-1 2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 -3.535534E-1 6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 0 -4.709826E-1 8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 1.678553E-1 2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 3.535534E-1 6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 0 4.709826E-1 8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 3.357107E-1 0 0 2.308637E-3 0 0

OPDX 0 1 0 0 7.071068E-1 0 0 3.693819E-3 0 0

OPDX 0 1 0 0 9.419651E-1 0 0 2.308637E-3 0 0

OPDX 0 1 0 0 1.678553E-1 -2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 3.535534E-1 -6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 0 4.709826E-1 -8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 -1.678553E-1 -2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 -3.535534E-1 -6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 0 -4.709826E-1 -8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 -3.357107E-1 2.570596E-16 0 2.308637E-3 0 0

OPDX 0 1 0 0 -7.071068E-1 5.414442E-16 0 3.693819E-3 0 0

OPDX 0 1 0 0 -9.419651E-1 7.212795E-16 0 2.308637E-3 0 0

OPDX 0 1 0 0 -1.678553E-1 2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 0 -3.535534E-1 6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 0 -4.709826E-1 8.157657E-1 0 2.308637E-3 0 0


OPDX 0 1 0 6.4E-1 1.678553E-1 2.90734E-1 0 3.001228E-3 0 0

OPDX 0 1 0 6.4E-1 3.535534E-1 6.123724E-1 0 4.801964E-3 0 0

OPDX 0 1 0 6.4E-1 4.709826E-1 8.157657E-1 0 3.001228E-3 0 0

OPDX 0 1 0 6.4E-1 3.357107E-1 0 0 3.001228E-3 0 0

OPDX 0 1 0 6.4E-1 7.071068E-1 0 0 4.801964E-3 0 0

OPDX 0 1 0 6.4E-1 9.419651E-1 0 0 3.001228E-3 0 0

OPDX 0 1 0 6.4E-1 1.678553E-1 -2.90734E-1 0 3.001228E-3 0 0

OPDX 0 1 0 6.4E-1 3.535534E-1 -6.123724E-1 0 4.801964E-3 0 0

OPDX 0 1 0 6.4E-1 4.709826E-1 -8.157657E-1 0 3.001228E-3 0 0

OPDX 0 1 0 6.4E-1 -1.678553E-1 -2.90734E-1 0 3.001228E-3 0 0

OPDX 0 1 0 6.4E-1 -3.535534E-1 -6.123724E-1 0 4.801964E-3 0 0



OPDX 0 1 0 6.4E-1 -4.709826E-1 -8.157657E-1 0 3.001228E-3 0 0

OPDX 0 1 0 6.4E-1 -3.357107E-1 2.570596E-16 0 3.001228E-3 0 0

OPDX 0 1 0 6.4E-1 -7.071068E-1 5.414442E-16 0 4.801964E-3 0 0

OPDX 0 1 0 6.4E-1 -9.419651E-1 7.212795E-16 0 3.001228E-3 0 0

OPDX 0 1 0 6.4E-1 -1.678553E-1 2.90734E-1 0 3.001228E-3 0 0

OPDX 0 1 0 6.4E-1 -3.535534E-1 6.123724E-1 0 4.801964E-3 0 0

OPDX 0 1 0 6.4E-1 -4.709826E-1 8.157657E-1 0 3.001228E-3 0 0

OPDX 0 1 0 6.4E-1 1.678553E-1 2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 6.4E-1 3.535534E-1 6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 6.4E-1 4.709826E-1 8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 6.4E-1 3.357107E-1 0 0 2.308637E-3 0 0

OPDX 0 1 0 6.4E-1 7.071068E-1 0 0 3.693819E-3 0 0

OPDX 0 1 0 6.4E-1 9.419651E-1 0 0 2.308637E-3 0 0

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OPDX 0 1 0 -1. -1.678553E-1 -2.90734E-1 0 3.001228E-3 0 0

OPDX 0 1 0 -1. -3.535534E-1 -6.123724E-1 0 4.801964E-3 0 0

OPDX 0 1 0 -1. -4.709826E-1 -8.157657E-1 0 3.001228E-3 0 0

OPDX 0 1 0 -1. -3.357107E-1 2.570596E-16 0 3.001228E-3 0 0

OPDX 0 1 0 -1. -7.071068E-1 5.414442E-16 0 4.801964E-3 0 0

OPDX 0 1 0 -1. -9.419651E-1 7.212795E-16 0 3.001228E-3 0 0

OPDX 0 1 0 -1. -1.678553E-1 2.90734E-1 0 3.001228E-3 0 0

OPDX 0 1 0 -1. -3.535534E-1 6.123724E-1 0 4.801964E-3 0 0

OPDX 0 1 0 -1. -4.709826E-1 8.157657E-1 0 3.001228E-3 0 0

OPDX 0 1 0 -1. 1.678553E-1 2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. 3.535534E-1 6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 -1. 4.709826E-1 8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. 3.357107E-1 0 0 2.308637E-3 0 0

OPDX 0 1 0 -1. 7.071068E-1 0 0 3.693819E-3 0 0

OPDX 0 1 0 -1. 9.419651E-1 0 0 2.308637E-3 0 0

OPDX 0 1 0 -1. 1.678553E-1 -2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. 3.535534E-1 -6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 -1. 4.709826E-1 -8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. -1.678553E-1 -2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. -3.535534E-1 -6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 -1. -4.709826E-1 -8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. -3.357107E-1 2.570596E-16 0 2.308637E-3 0 0

OPDX 0 1 0 -1. -7.071068E-1 5.414442E-16 0 3.693819E-3 0 0

OPDX 0 1 0 -1. -9.419651E-1 7.212795E-16 0 2.308637E-3 0 0

OPDX 0 1 0 -1. -1.678553E-1 2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. -3.535534E-1 6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 -1. -4.709826E-1 8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. 1.678553E-1 2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. 3.535534E-1 6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 -1. 4.709826E-1 8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. 3.357107E-1 0 0 2.308637E-3 0 0

OPDX 0 1 0 -1. 7.071068E-1 0 0 3.693819E-3 0 0

OPDX 0 1 0 -1. 9.419651E-1 0 0 2.308637E-3 0 0

OPDX 0 1 0 -1. 1.678553E-1 -2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. 3.535534E-1 -6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 -1. 4.709826E-1 -8.157657E-1 0 2.308637E-3 0 0



OPDX 0 1 0 -1. -1.678553E-1 -2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. -3.535534E-1 -6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 -1. -4.709826E-1 -8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. -3.357107E-1 2.570596E-16 0 2.308637E-3 0 0

OPDX 0 1 0 -1. -7.071068E-1 5.414442E-16 0 3.693819E-3 0 0

OPDX 0 1 0 -1. -9.419651E-1 7.212795E-16 0 2.308637E-3 0 0

OPDX 0 1 0 -1. -1.678553E-1 2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. -3.535534E-1 6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 -1. -4.709826E-1 8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. 1.678553E-1 2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. 3.535534E-1 6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 -1. 4.709826E-1 8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. 3.357107E-1 0 0 2.308637E-3 0 0

OPDX 0 1 0 -1. 7.071068E-1 0 0 3.693819E-3 0 0

OPDX 0 1 0 -1. 9.419651E-1 0 0 2.308637E-3 0 0

OPDX 0 1 0 -1. 1.678553E-1 -2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. 3.535534E-1 -6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 -1. 4.709826E-1 -8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. -1.678553E-1 -2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. -3.535534E-1 -6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 -1. -4.709826E-1 -8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. -3.357107E-1 2.570596E-16 0 2.308637E-3 0 0

OPDX 0 1 0 -1. -7.071068E-1 5.414442E-16 0 3.693819E-3 0 0

OPDX 0 1 0 -1. -9.419651E-1 7.212795E-16 0 2.308637E-3 0 0

OPDX 0 1 0 -1. -1.678553E-1 2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. -3.535534E-1 6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 -1. -4.709826E-1 8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. 1.678553E-1 2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. 3.535534E-1 6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 -1. 4.709826E-1 8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. 3.357107E-1 0 0 2.308637E-3 0 0

OPDX 0 1 0 -1. 7.071068E-1 0 0 3.693819E-3 0 0

OPDX 0 1 0 -1. 9.419651E-1 0 0 2.308637E-3 0 0

OPDX 0 1 0 -1. 1.678553E-1 -2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. 3.535534E-1 -6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 -1. 4.709826E-1 -8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. -1.678553E-1 -2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. -3.535534E-1 -6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 -1. -4.709826E-1 -8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. -3.357107E-1 2.570596E-16 0 2.308637E-3 0 0

OPDX 0 1 0 -1. -7.071068E-1 5.414442E-16 0 3.693819E-3 0 0

OPDX 0 1 0 -1. -9.419651E-1 7.212795E-16 0 2.308637E-3 0 0

OPDX 0 1 0 -1. -1.678553E-1 2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. -3.535534E-1 6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 -1. -4.709826E-1 8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. 1.678553E-1 2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. 3.535534E-1 6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 -1. 4.709826E-1 8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. 3.357107E-1 0 0 2.308637E-3 0 0

OPDX 0 1 0 -1. 7.071068E-1 0 0 3.693819E-3 0 0

OPDX 0 1 0 -1. 9.419651E-1 0 0 2.308637E-3 0 0

OPDX 0 1 0 -1. 1.678553E-1 -2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. 3.535534E-1 -6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 -1. 4.709826E-1 -8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. -1.678553E-1 -2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. -3.535534E-1 -6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 -1. -4.709826E-1 -8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. -3.357107E-1 2.570596E-16 0 2.308637E-3 0 0

OPDX 0 1 0 -1. -7.071068E-1 5.414442E-16 0 3.693819E-3 0 0

OPDX 0 1 0 -1. -9.419651E-1 7.212795E-16 0 2.308637E-3 0 0

OPDX 0 1 0 -1. -1.678553E-1 2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. -3.535534E-1 6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 -1. -4.709826E-1 8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. 1.678553E-1 2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. 3.535534E-1 6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 -1. 4.709826E-1 8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. 3.357107E-1 0 0 2.308637E-3 0 0

OPDX 0 1 0 -1. 7.071068E-1 0 0 3.693819E-3 0 0

OPDX 0 1 0 -1. 9.419651E-1 0 0 2.308637E-3 0 0

OPDX 0 1 0 -1. 1.678553E-1 -2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. 3.535534E-1 -6.123724E-1 0 3.693819E-3 0 0



OPDX 0 1 0 -1. 4.709826E-1 -8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. -1.678553E-1 -2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. -3.535534E-1 -6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 -1. -4.709826E-1 -8.157657E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. -3.357107E-1 2.570596E-16 0 2.308637E-3 0 0

OPDX 0 1 0 -1. -7.071068E-1 5.414442E-16 0 3.693819E-3 0 0

OPDX 0 1 0 -1. -9.419651E-1 7.212795E-16 0 2.308637E-3 0 0

OPDX 0 1 0 -1. -1.678553E-1 2.90734E-1 0 2.308637E-3 0 0

OPDX 0 1 0 -1. -3.535534E-1 6.123724E-1 0 3.693819E-3 0 0

OPDX 0 1 0 -1. -4.709826E-1 8.157657E-1 0 2.308637E-3 0 0

TOL TOFF 0 0 0 0 0 0 0

MNUM 1 1

CWGT 0 1 0.000000000000E+000 0 0 0 1 1 1.000000000000E+000 0.000000000000E+000 0

PAR5 24 1 -4.385293000000E+000 0 0 0 1 1 1.000000000000E+000 0.000000000000E+000 0

PAR5 33 1 0.000000000000E+000 0 0 0 1 1 1.000000000000E+000 0.000000000000E+000 0

dkist optical prescriptionoss gregorian optics – this subsystem includes the entrance aperture,...

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