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1 August 1990Near origin divergent brightness behavior of grazing incidence images
Grazing incidencesystems, such as extreme ultraviolet and x-ray
telescopes, produce images that differ qualitatively from those of conventional
normal incidence systems. Among the more well known effects
are increased scatter due to the short radiation wavelengths, and pronounced
pupil diffraction patterns due to the high obscuration ratios. However,
a much less well known effect is the rapidly increasing intensity very
near the center of the image. Within a substantial part of the image core,
the intensity can be shown to increase inversely with the image radius
("1/r" behavior). This behavior applies to both pupil diffraction and scatter
effects. One ofthe important implications is that the full-width-half-maximum
(FWHM) for the image is inherently and misleadingly small and is thus
not a suitable image descriptor for grazing incidence systems. In this
paper, we first review the well-known scatter and diffraction effects. We
then give some intuitive explanations for the less well known "1/r" behavior
of the intensity, derive the mathematics to define the effect quantitatively,
and give some examples.
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Paul E. Glenn, "Near origin divergent brightness behavior of grazing incidence images," Opt. Eng. 29(8) (1 August 1990) https://doi.org/10.1117/12.55682