Multiple scattering of waves from random rough surfaces

A ray-tracing analysis of the absorption of light by smooth and rough metal surfaces

“…As an approximation it is, of course, limited to certain roughness parameters ͑as depicted in Fig. 1͒, but contrary to many other approximate methods, such as the Kirchhoff approximation, [15][16][17][18] the small perturbation theory, [17][18][19] the phase perturbation theory, 20,21 and the small slope approximation, 22,23 it is a method that naturally incorporates both shadowing and multiple scattering ͑see Fig. 4͒.…”

Fundamental Studies in Scattering from Rough Surfaces.

“…The variance of the scattered field or the incoherent power in any one direction is found to depend upon a weighted average of the angular spectrum over all angles (both visible and iuvisible) or directions. This result clearly shows that the concept of a far field is not applicable to the case of unbounded illumination [1][2][3][4][5][6] because in the far field approxim3tion the scattered power should be d termined by one and only one Fourier component of the angular spectrum. When the incident illumination is bounded, the far field approximation for the mean scattered field is found to be valid provided the cross sectional area of the incident field is very large compared to the 'uare of the electromagnetic wavelength.…”

“…Recently, a significant advance toward this goal has been provided by the work of Zipfel and DeSanto [4] and subsequent work by DeSanto 15,6]. The results obtained in these analyses were based upon two very important points which should be emphasized.…”

“…rather than taking the large areas to be highly correlated corresponding to the true gently undulating surface they are, instead, taken to be uncorrelated. The resulting average scattered field is subsequently found to depend upon the number of [1][2][3][4] interacting areas and their height variance.…”

Transfer Relations for Electromagnetic Wave Scattering from Periodic Dielectric One-Dimensional Interface: TE Polarization Lines

“…Ordinarily this physical problem is studied either by a straightforward approach process using exact integral equations for the boundary values of the field and then obtaining approximative solutions of these equations or by applying to the given boundary problem perturbative analysis. Some of these methods are presented in monographs [15][16][17] and papers [18][19][20][21][22][23][24][25][26][27]. It is worth noting for us paper [28] where the Wood anomalies [29], discovered by light diffraction from a grating, are studied by light diffraction on a rough surface.…”