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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 Optical Society of America


Sourced from the version of record at OSA:
Hyde, M. W., Basu, S., Spencer, M. F., Cusumano, S. J., & Fiorino, S. T. (2013). Physical optics solution for the scattering of a partially-coherent wave from a statistically rough material surface. Optics Express, 21(6), 6807–6825.

Posted on AFIT Scholar in accordance with Gold Open Access Policy Statement for Optics Express, found at: (12-month embargo).



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Optics Express