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Prof. Jose Sasian Short Course

Optical Design with Mirrors with emphasis in unobstructed

systems

Jose Sasian

Prof. Jose Sasian Short Course

Contents

• Introduction• References and papers • On-axis systems• Un-obstructed systems• Examples• Summary

Prof. Jose Sasian Short Course

Introduction

• Why this short-course?• Course requirements• How I got experience with mirrors• What you should expect from the course• Mostly aberration control• References

Prof. Jose Sasian Short Course

References• Dietrich Korsh, Reflective Optics, Academic Press, 1991.• H. P. Bruegemann, Conic Mirrors, Focal Press 1968.• Reflective and Catadioptric objectives, Lloyd Jones,

Chapter 18, Handbook of Optics, OSA.• Michael Rogers, Un-obscured Mirror Designs, SPIE

4832 Proceedings IODC 2002.• Patent literature• Journal and Proceedings papers

Prof. Jose Sasian Short Course

Papers• Sasian, J. M., "Flat-field, anastigmatic, four-mirror optical system for large

telescopes," Opt. Eng. 26 (12), 1197-1199 (1987)• Sasian, J. M., "Four-mirror optical system for large telescopes," Opt. Eng. 29 (10),

1181-1185 (1990).• Sasian, J. M., "Design of a Schwarzschild flat-field, anastigmatic, unobstructed, wide-

field telescope," Opt. Eng. 29 (1), 1-5 (1990).• J. M. Sasian, ‘Annular surfaces in annular field systems,’ Optical Engineering, 36(12),

3401-3403, 1997.• Sasian, J. M. "Review of methods for the design of unsymmetrical optics," SPIE

Proceedings on Optical Engineering Midwest'90 1396, 453-466 (1991).• Sasian, J. M., "How to approach the design of a bilateral symmetrical optical system,"

Opt. Eng. June (1994) • Sasian, J. M., "The world of unobstructed reflecting telescopes," Journal of the

Amateur Telescope Makers 1, Fall 1992. Also in “The best of the amateur telescope making journal, “ William Cook Editor, Willmann-Bell, 2003.

• J. M. Sasian, ‘Double-curvature Surfaces in Mirror System Design.’ Optical Engineering, 36(1), 183-188, (1997)

Prof. Jose Sasian Short Course

Mirror virtues/problems

• Large and small apertures• Large bandwidth• No intrinsic chromatic aberations• Support system• Aspheric surfaces• Twice the deflection and no cancellation• Stronger scattering

Prof. Jose Sasian Short Course

Wave aberration conceptsreview

Prof. Jose Sasian Short Course

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cos,,

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HWHWW

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mlkmlk HWHW

,,,, cos,

Wave aberration

Prof. Jose Sasian Short Course

Prof. Jose Sasian Short Course

Prof. Jose Sasian Short Course

Prof. Jose Sasian Short Course

B

B

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m1

Prof. Jose Sasian Short Course

Design of reflective axially symmetric systems

Prof. Jose Sasian Short Course

Flat-field, anastigmatic, four-mirroroptical system for large telescopes

Prof. Jose Sasian Short Course

Flat-field, anastigmatic, four-mirroroptical system for large telescopes

Prof. Jose Sasian Short Course

Prof. Jose Sasian Short Course

Design of un-obstructed reflective systems

Prof. Jose Sasian Short Course

Symmetry

• Axially symmetry• Double plane symmetry• Plane symmetry• Monocentric symmetry• Confocal symmetry• Non identiafiable symmetry

Prof. Jose Sasian Short Course

Methods of design for NRS

• Eccentric and off-axis sections• Annular or Ring field systems• Concatenation of well corrected

systems• Tilted component theory• Expansion about the Optical Axis Ray• Confocal systems

Prof. Jose Sasian Short Course

Eccentric and off-axis systems

Prof. Jose Sasian Short Course

Annular or Ring field systems

Perkin-Elmer’sMicralignconcept byA. Offner 1975

Prof. Jose Sasian Short Course

Ring-field system for EUV lithography Annular surfaces

Prof. Jose Sasian Short Course

Concatenation of systems Example: on axis aspheric

system

Dietrich Korsh

Prof. Jose Sasian Short Course

Concatenation of systems Example: Reed and Schwarzschild systems by David Shafer

Prof. Jose Sasian Short Course

Tilted component system

Tilted Component Optical Systems, Richard Buchroeder, Ph. D. Dissertation, University of Arizona

Prof. Jose Sasian Short Course

Scheimpflug condition

Prof. Jose Sasian Short Course

Displacement of the aberration field center

Prof. Jose Sasian Short Course

Aberration fields

K. Thompson, "Description of the third-order optical aberrations of near-circular pupil optical systems without symmetry," J. Opt. Soc. Am. A 22, 1389-1401 (2005)

Prof. Jose Sasian Short Course

Plane symmetric systems:Expansion about the OAR

Prof. Jose Sasian Short Course

Plane symmetric aberration function

Prof. Jose Sasian Short Course

Aberrations of aPlane symmetric system

Prof. Jose Sasian Short Course

Aberration coefficients

Prof. Jose Sasian Short Course

Aberration coefficient calculation

Prof. Jose Sasian Short Course

Basic forms of astigmatism

Prof. Jose Sasian Short Course

Behavior of coma

Prof. Jose Sasian Short Course

Confocal arrangement of mirrors:No aberration along the optical axis ray.

Excellent starting design point

OAR

Use paraboloids, ellipsoids, hyperboloids

Prof. Jose Sasian Short Course

Examples

Prof. Jose Sasian Short Course

Optical surfaces ....

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Prof. Jose Sasian Short Course

Amateur telescopes I

Prof. Jose Sasian Short Course

Amateur telescopes II

Prof. Jose Sasian Short Course

Double curvature mirrors I

ToroidEllipsoidElliptical paraboloid

Prof. Jose Sasian Short Course

Double curvature mirrors II

Prof. Jose Sasian Short Course

Double curvature mirrors III

Prof. Jose Sasian Short Course

Prof. Jose Sasian Short Course

Prof. Jose Sasian Short Course

A 1.6 m off-axis paraboloid

R=13 mD=1.6 mE=2.4 m

Prof. Jose Sasian Short Course

Confocal system: Cassegrain telescope made unobstructed

Prof. Jose Sasian Short Course

Summary

• Comments on several references• Basic review of aberrations• Methods to design un-symmetrical

systems• Examples• Must have a good idea about how the

basics for designing some reflective systems

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