1. Improved Ray Trace Program for Deformed X-ray Optical Systems
Bakhita Thordarson, Columbia University
Mentor: Peter Cheimets, SAO

2. Accomplishments Increased processing speed by a factor of 5
Ray accuracy
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 trace results
-The first graph shows a histogram indicating ray accuracy, so how many rays are deflecting to the focal point
-The second graph shows the result of the ray trace, depicting where the rays hit on the focal plane
FEA (Finite Element Analysis) like Solidworks

3. 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

4. Wolter I System X-ray optical system
Two mirror system, parabola followed by a hyperbola
Examples
Chandra
Solar B
Chandra
The focus of the parabola matches the far focus of the hyperbola
Grazing incidence, so the focus is far from the entrance aperture: Chandra is 10 meters
Solar B
Incoming ray
Wolter I System
X-rays

5. Optical Surface Analysis Code (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

6. 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

7. Modeled Deformed Surface
Parabolic Mirror
Hyperbolic Mirror

8. GUI

9. Finding the Deformed Surface
Reflected ray
Reflected ray
ray
Delta r α θ r z
Deformed surface
Ideal surface

10. Results Ideal Surface Approximated Deformed Surface Deformed Surface
RMS dia: arcsec
Approximated Deformed Surface
Deformed Surface
RMS dia: arcsec
RMS dia: arcsec

11. 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

12. Acknowledgements Peter Cheimets Jenna Samra Mark Freeman
Kathy Reeves and Henry Winter
MaGIXS Technology Development
Contract NNM13AA40C

13. 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