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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 51, Iss. 5 — Feb. 10, 2012
  • pp: 535–546

Image degradation due to surface scatter in the presence of aberrations

Narak Choi and James E. Harvey  »View Author Affiliations

Applied Optics, Vol. 51, Issue 5, pp. 535-546 (2012)

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Image analysis in the presence of surface scatter due to residual optical fabrication errors is often perceived to be complicated, nonintuitive, and achieved only by computationally intensive nonsequential ray tracing with commercial optical analysis codes such as ASAP, Zemax, Code V, TracePro, or FRED. However, we show that surface scatter can be treated very similarly to conventional wavefront aberrations. For multielement imaging systems degraded by both surface scatter and aberrations, the composite point spread function is obtained in explicit analytic form in terms of convolutions of the geometrical point spread function and scaled bidirectional scattering distribution functions of the individual surfaces of the imaging system. The approximations and assumptions in this formulation are discussed, and the result is compared to the irradiance distribution obtained using commercial software for the case of a two-mirror telescope operating at an extreme ultraviolet wavelength. The two results are virtually identical.

© 2012 Optical Society of America

OCIS Codes
(110.2960) Imaging systems : Image analysis
(290.5880) Scattering : Scattering, rough surfaces
(080.1005) Geometric optics : Aberration expansions
(290.1483) Scattering : BSDF, BRDF, and BTDF
(290.5835) Scattering : Scattering, Harvey

ToC Category:
Imaging Systems

Original Manuscript: August 1, 2011
Revised Manuscript: October 3, 2011
Manuscript Accepted: October 7, 2011
Published: February 3, 2012

Narak Choi and James E. Harvey, "Image degradation due to surface scatter in the presence of aberrations," Appl. Opt. 51, 535-546 (2012)

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