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Bakhita Thordarson, Columbia UniversityMentor: Peter Cheimets, SAO

Improved Ray Trace Program for Deformed X-ray Optical Systems

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Accomplishments

Increased processing speed by a factor of 5

Adapted the program to use input from new FEA software

Program now accepts new optical designs and predicts optical performance for both the perfect surface and an approximation of the deformed surface

Program also has the ability to reflect rays off of the actual deformed surface

Ray accuracy

Ray trace results

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Overview

We need the ability to evaluate the optical performance of deformed optical systems

Current programs to do so either do not work because of system upgrades or are inefficient and not very versatile

They ray trace off of the ideal surface rather than the deformed surface

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Wolter I System

X-ray optical system

Two mirror system, parabola followed by a hyperbola

Examples Chandra Solar B

Incoming ray

Wolter I System

X-rays

Solar B

Chandra

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Optical Surface Analysis Code (OSAC)

OSAC Previous program for ray tracing deformed

optics Written in Fortran Obsolete due to several system upgrades

OSAC-like Program Written in Matlab Slow Not very versatile No longer have the ability to retrieve the FEA

data

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Improved program

Now accepts data from new FEA input files

Increased processing speed by 5x

User input allows for more versatility and variability in results

Helped develop GUI

Now able to deflect the rays off of the deformed surface

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Modeled Deformed Surface

Parabolic Mirror

Hyperbolic Mirror

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GUI

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Finding the Deformed Surface

θr

z

Delta r

ray

Ideal surface

Deformed surface

Reflected ray

Reflected ray

α

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ResultsIdeal Surface

Approximated Deformed Surface

Deformed Surface

RMS dia: 0.396 arcsec

RMS dia: 1.037 arcsec

RMS dia: 0.011 arcsec

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Future Work

Now that it’s working for two surfaces, make sure the rays are finding the deformed second surface

Work with slopes generated from FEA program rather than calculated slopes

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Acknowledgements

Peter Cheimets

Jenna Samra

Mark Freeman

Kathy Reeves and Henry Winter

MaGIXS Technology Development Contract NNM13AA40C

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Finding the Deformed Surface

Work with the deformed surface rather than ideal one

Use the angle with the surface and the delta r to walk along the ray path

Iterative process; if deformed surface is not found, repeat the process with the same angle and the new delta r