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Proceedings Article

Scalar wave solution for the scattering of a partially coherent beam from a statistically rough metallic surface

[+] Author Affiliations
Milo W. Hyde, Santasri Basu, Salvatore J. Cusumano, Mark F. Spencer

Air Force Institute of Technology (United States)

Proc. SPIE 8550, Optical Systems Design 2012, 85503A (December 18, 2012); doi:10.1117/12.979947
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From Conference Volume 8550

  • Optical Systems Design 2012
  • Laurent Mazuray; Rolf Wartmann; Andrew P. Wood; Marta C. de la Fuente; Jean-Luc M. Tissot; Jeffrey M. Raynor; Tina E. Kidger; Stuart David; Pablo Benítez; Daniel G. Smith; Frank Wyrowski; Andreas Erdmann
  • Barcelona, , Spain | November 26, 2012

abstract

The scattering of a spatially partially coherent wave from a one-dimensional statistically rough metallic surface is investigated. Assuming a Gaussian Schell-model form for the incident field autocorrelation function, a closed-form expression for the scattered field autocorrelation function is derived using the physical optics approximation (Kirchhoff approximation). Two forms of the solution are derived—one applicable to very rough surfaces and the other applicable to moderately rough surfaces. It is shown that for very rough surfaces, the solution, under certain circumstances, remains Gaussian Schell model as has been previously reported. As such, closed-form expressions for the angular coherence radius and angular scattering radius are derived. These expressions are, in general, complicated functions of both the source (size and coherence properties) and surface parameters (surface height standard deviation and correlation length). It is demonstrated that for many scenarios of interest, the angular coherence radius can be safely approximated as a function of just the source parameters and the angular scattering radius can be simplified to a function of just the surface parameters. For the moderately rough surface solution, the scattered field autocorrelation function is, in general, not Gaussian Schell model and it is therefore not possible to derive analytical forms for the angular coherence radius or angular scattering radius. Nonetheless, the form of the autocorrelation function is physically intuitive and is discussed in this work. To verify the presented theoretical analysis, wave optics simulation results are presented and compared to the predictions of the analytical models. This analysis is concluded with a discussion of future work. © (2012) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Citation

Milo W. Hyde ; Santasri Basu ; Salvatore J. Cusumano and Mark F. Spencer
" Scalar wave solution for the scattering of a partially coherent beam from a statistically rough metallic surface ", Proc. SPIE 8550, Optical Systems Design 2012, 85503A (December 18, 2012); doi:10.1117/12.979947; http://dx.doi.org/10.1117/12.979947


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