Transfer Function Characterization Of Grazing Incidence Optical Systems

James E. Harvey; Edward C. Moran; William P. Zmek

doi:10.1117/12.942159

9 August 1988 Transfer Function Characterization Of Grazing Incidence Optical Systems

James E. Harvey, Edward C. Moran, William P. Zmek

Proceedings Volume 0830, Grazing Incidence Optics for Astronomical and Laboratory Applications; (1988) https://doi.org/10.1117/12.942159
Event: 31st Annual Technical Symposium on Optical and Optoelectronic Applied Sciences and Engineering, 1987, San Diego, CA, United States

Abstract

By using Fourier techniques and linear systems theory we have derived an analytic expression for a generalized transfer function for grazing incidence optical systems operating at ultraviolet and x-ray wave-lengths that includes the effects of optical fabrication errors over the entire range of relevant spatial frequencies. The Fourier transform of this transfer function yields the image distribution (or point spread function) from which encircled energy characteristics or other image quality criteria can be obtained. This transfer function characterization of grazing incidence optical systems allows parametric trade studies and sensitivity analyses to be performed as well as the derivation of fabrication tolerances necessary to satisfy a given image quality requirement.

Citation Download Citation

James E. Harvey, Edward C. Moran, and William P. Zmek "Transfer Function Characterization Of Grazing Incidence Optical Systems", Proc. SPIE 0830, Grazing Incidence Optics for Astronomical and Laboratory Applications, (9 August 1988); https://doi.org/10.1117/12.942159

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