Scattering of EM waves from a slightly rough surface of a generallyanisotropic plane-layered halfspace

The problem of plane wave scattering by a slightly rough boundary of an arbitrarily layered medium with general anisotropy of electric and magnetic properties is considered using boundary conditions transference method and a small perturbation approximation combined with the Green's functions technique. It is shown that in the Born approximation, the second statistical moments of the fluctuation field scattered from an inhomogeneous anisotropic halfspace can be expressed exclusively in terms of the external parameters referring to a flat boundary and the spectral density of roughness. In the present circumstance, the set of the external parameters includes the four plane-wave reflection coefficients from a flat boundary and the (limiting) values of constitutive parameters of the adjacent media at said boundary, Within the framework of the outlined approach, the covariance dyads, Poynting's vector, scattering coefficients and Stokes parameters of the fluctuation field, and the Mueller matrix for a rough boundary are calculated     

Calculation of the effective constitutive parameters of adisordered bi-isotropic medium using renormalization method

An existing renormalization approach of the strong fluctuation theory is extended to cover a general bi-isotropic random medium with spherically symmetric correlation functions. The effective random-medium parameters for long wavelengths are expressed in terms of a background medium's parameters and the spectral densities or correlation functions of random perturbations. A validity range of the results obtained is determined, and the particular cases of reciprocal bi-isotropic, Tellegen, isotropic, and lossless bi-isotropic random medium are analyzed     

Two-dimensional scattering from an inhomogeneous dielectriccylinder embedded in a stratified medium: case of TM polarization

Two-dimensional scattering of a TM-polarized electromagnetic wave from a transversely inhomogeneous isotropic body buried in a homogeneous layer of an arbitrarily stratified isotropic medium has been considered using the integral equation formulation over the cross section of the body and the moment method. The arising system of linear algebraic equations is solved with the aid of the conjugate gradient method and the one-dimensional fast Fourier transform. Illustrative numerical results are presented for both an inclusion in a half space and in a layer on a homogeneous substrate     

Radiation and low-frequency scattering of EM waves in a generalanisotropic homogeneous medium

This paper focuses on a boundless homogeneous medium with general anisotropy of electromagnetic properties. The explicit exact form of the four spectral Green's dyads Gˆ_νξ(k) is obtained and a coordinate-free representation of the four spatial Green's functions Gˆ_νξ(x-x') in terms of one scalar potential W(x-x') is developed. On this basis, asymptotic expressions for the radiation field due to arbitrary sources are derived that show that the associated modes and the eigenmodes determine radiation along a singular optic axis and in all other directions, respectively. Using an integral equation approach and the theory of Newtonian potential, the problem of low-frequency scattering by a small anisotropic ellipsoidal body immersed into an anisotropic medium is solved analytically