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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 6 — Mar. 25, 2013
  • pp: 6807–6825

Physical optics solution for the scattering of a partially-coherent wave from a statistically rough material surface

Milo W. Hyde, IV, Santasri Basu, Mark F. Spencer, Salvatore J. Cusumano, and Steven T. Fiorino  »View Author Affiliations

Optics Express, Vol. 21, Issue 6, pp. 6807-6825 (2013)

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The scattering of a partially-coherent wave from a statistically rough material surface is investigated via derivation of the scattered field cross-spectral density function. Two forms of the cross-spectral density are derived using the physical optics approximation. The first is applicable to smooth-to-moderately rough surfaces and is a complicated expression of source and surface parameters. Physical insight is gleaned from its analytical form and presented in this work. The second form of the cross-spectral density function is applicable to very rough surfaces and is remarkably physical. Its form is discussed at length and closed-form expressions are derived for the angular spectral degree of coherence and spectral density radii. Furthermore, it is found that, under certain circumstances, the cross-spectral density function maintains a Gaussian Schell-model form. This is consistent with published results applicable only in the paraxial regime. Lastly, the closed-form cross-spectral density functions derived here are rigorously validated with scatterometer measurements and full-wave electromagnetic and physical optics simulations. Good agreement is noted between the analytical predictions and the measured and simulated results.

© 2013 OSA

OCIS Codes
(030.0030) Coherence and statistical optics : Coherence and statistical optics
(240.5770) Optics at surfaces : Roughness
(260.2110) Physical optics : Electromagnetic optics
(290.5880) Scattering : Scattering, rough surfaces

ToC Category:
Coherence and Statistical Optics

Original Manuscript: January 28, 2013
Revised Manuscript: February 13, 2013
Manuscript Accepted: February 16, 2013
Published: March 12, 2013

Milo W. Hyde, Santasri Basu, Mark F. Spencer, Salvatore J. Cusumano, and Steven T. Fiorino, "Physical optics solution for the scattering of a partially-coherent wave from a statistically rough material surface," Opt. Express 21, 6807-6825 (2013)

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