Analytical, experimental, and numerical studies of angular memory signatures of waves scattered from one-dimensional rough surfaces

It is known that a change in the direction of an incident wave on a random medium is "remembered" by the angular correlation characteristics of the scattered waves. This "memory effect" is studied for rough-surface scattering by means of theoretical [second-order Kirchhoff approximation (KA)], numerical (Monte Carlo simulations), and experimental (millimeter-wave range) approaches. The second-order KA has been found to be effective for wave scattering from very rough surfaces with large radii of curvature and high slopes (0.5-1.5). Although the second-order KA is based on a number of approximations including the geometrical optics approximation and the approximate forms of the shadowing functions, excellent agreement with Monte Carlo simulations and millimeter-wave experiments was achieved. The results are presented in a form of memory signatures which clearly exhibit the important features of this effect.

[1]  Akira Ishimaru,et al.  Copolarized and cross‐polarized enhanced backscattering from two‐dimensional very rough surfaces at millimeter wave frequencies , 1994 .

[2]  Michael E. Knotts,et al.  Angular correlation functions of polarized intensities scattered from a one-dimensionally rough surface , 1992 .

[3]  Leung Tsang,et al.  Monte-Carlo simulations of large-scale problems of random rough surface scattering and applications to grazing incidence with the BMIA/canonical grid method , 1995 .

[4]  Feng,et al.  Correlations and fluctuations of coherent wave transmission through disordered media. , 1988, Physical review letters.

[5]  Akira Ishimaru,et al.  Scattering from very rough metallic and dielectric surfaces: a theory based on the modified Kirchhoff approximation , 1991 .

[6]  Akira Ishimaru,et al.  Pulse broadening and two-frequency mutual coherence function of the scattered wave from rough surfaces , 1994 .

[7]  Akira Ishimaru,et al.  Angular correlation function based on the second-order Kirchhoff approximation and comparison with experiments , 1996 .

[8]  Akira Ishimaru,et al.  Polarimetric scattering theory for high slope rough surface : Summary , 1996 .

[9]  Moshe Kaveh.  New phenomena in the propagation of optical waves through random media , 1991 .

[10]  Manuel Nieto-Vesperinas,et al.  Intensity angular correlations of light multiply scattered from random rough surfaces , 1993 .

[11]  Nieto-Vesperinas,et al.  Enhanced long-range correlations of coherent waves reflected from disordered media. , 1992, Physical review. B, Condensed matter.

[12]  Feng,et al.  Memory effects in propagation of optical waves through disordered media. , 1988, Physical review letters.