Grazing Incidence Optics for Wide-field X-ray Survey Imaging: A Comparison of Optimization Techniques

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dc.creatorRoming, Peter W. A.
dc.creatorLiechty, John C.
dc.creatorShoemaker, Jared R.
dc.creatorSohn, David H.
dc.creatorRoush, William B.
dc.creatorBurrows, David N.
dc.creatorGarmire, Gordon P.
dc.date2004-06-03
dc.date.accessioned2026-07-07T02:13:25Z
dc.date.available2026-07-07T02:13:25Z
dc.descriptionUtilizing a ray-tracing program, we have modeled the angular resolution of a short focal length (~2m), large field-of-view (3.1 square degrees), grazing incidence mirror shell. It has been previously shown in the literature that the application of a polynomial to the surface of grazing incidence mirror shells enhances the global performance of the mirror over the entire field-of-view. The objective of this project was to efficiently locate the optimal polynomial coefficients that would provide a 15 arcsec response over the entire field-of-view. We have investigated various techniques for identifying the optimal coefficients in a large multi-dimensional polynomial space. The techniques investigated include the downhill simplex method, fractional factorial, response surface (including Box-Behnken and central composite) designs, artificial neural networks (such as back-propagation, general regression, and group method of data handling neural networks), and the Metropolis-Coupled Markov-Chain Monte-Carlo (MC-MCMC) method. We find of the methods examined, the MC-MCMC approach performs the best. This project demonstrates that the MC-MCMC technique is a powerful tool for designing irreducible algorithms that optimize arbitrary, bounded functions and that it is an efficient way of probing a multi-dimensional space and uncovering the global minimum in a function that may have multiple minimums.
dc.description16 pages (including 5 figures and 1 table), submitted to the Astrophysical Journal
dc.identifierhttps://arxiv.org/abs/astro-ph/0406097
dc.identifierhttp://arxiv.org/abs/astro-ph/0406097
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/7809
dc.subjectAstrophysics
dc.titleGrazing Incidence Optics for Wide-field X-ray Survey Imaging: A Comparison of Optimization Techniques
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