15 October 2012 Simulating correction of adjustable optics for an x-ray telescope
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Abstract
The next generation of large X-ray telescopes with sub-arcsecond resolution will require very thin, highly nested grazing incidence optics. To correct the low order figure errors resulting from initial manufacture, the mounting process, and the effects of going from 1 g during ground alignment to zero g on-orbit, we plan to adjust the shapes via piezoelectric “cells” deposited on the backs of the reflecting surfaces. This presentation investigates how well the corrections might be made. We take a benchmark conical glass element, 410×205 mm, with a 20×20 array of piezoelectric cells 19×9 mm in size. We use finite element analysis to calculate the influence function of each cell. We then simulate the correction via pseudo matrix inversion to calculate the stress to be applied by each cell, considering distortion due to gravity as calculated by finite element analysis, and by putative low order manufacturing distortions described by Legendre polynomials. We describe our algorithm and its performance, and the implications for the sensitivity of the resulting slope errors to the optimization strategy.
© (2012) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Thomas L. Aldcroft, Daniel A. Schwartz, Paul B. Reid, Vincenzo Cotroneo, William N. Davis, "Simulating correction of adjustable optics for an x-ray telescope", Proc. SPIE 8503, Adaptive X-Ray Optics II, 85030F (15 October 2012); doi: 10.1117/12.929839; https://doi.org/10.1117/12.929839
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