Scattering and Thermal Emission from a Two Dimensional Periodic Surface

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

“…What is more, one can write a Riccati equation like (83) and a corresponding equation like (89) for the vector electromagnetic wave reflection coefficient from and transmission coefficient through of a two-dimensional periodic interface in the cases of both TE and TH polarizations. In contrast to the method of integral equations [36], our approach using the idea of the transfer relations leads to describing the interface in terms of its intersections by planes z = const similar to the method of the statistical topography [58,59].…”

“…First the transfer relations (29)(30)(31)(32)(33)(34)(35)(36) were obtained by Gazaryan [1] in the case of one-dimensional scattering medium using the field superposition principle. For the case of three-dimensional scattering medium the transfer relations (29)(30)(31)(32)(33)(34)(35)(36) were derived in [54] on base of the Watson composition rule (15)(16)(17)(18). All transfer relations are derived by the same way which becomes clear from derivation of equation (29) (see Appendix).…”

“…The operator amplitudes of waves in splits between layers of the stack layers may be excluded from the transfer relations (29)(30)(31)(32)(33)(34)(35)(36)) that leads to the following separate system of recurrent equations with a layer attachment…”

“…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. The problem of wave scattering from periodic dielectric interface are considered using the Waterman [30] extended boundary condition approach in papers [31][32][33][34][35], for the case of one-dimensional interface, and in [36] for the case of two-dimensional interface.…”

A numerical study of ocean polarimetric thermal emission

“…The region above the surface profile is assumed to be free space, and the region below to be a homogeneous, isotropic medium described by electric permittivity and magnetic permeability , and a time dependency of is implied. The dyadic Green's function of the above equations is given by (6) where represents the unit dyadic, is the electromagnetic wavenumber , and…”