Scattering of electromagnetic waves from two-dimensional randomly rough perfectly conducting surfaces: The full angular intensity distribution

Abstract

By a computer simulation approach we study the scattering of p-or s-polarized light from a twodimensional, randomly rough, perfectly conducting surface. The pair of coupled inhomogeneous integral equations for two independent tangential components of the magnetic field on the surface are converted into matrix equations by the method of moments, which are then solved by the biconjugate gradient stabilized method. The solutions are used to calculate the mean differential reflection coefficient for given angles of incidence and specified polarizations of the incident and scattered fields. The full angular distribution of the intensity of the scattered light is obtained for strongly randomly rough surfaces by a rigorous computer simulation approach.

Critical angle for interfacial phonon scattering: Results from ab initio lattice dynamics calculations

“…In contrast to phonon scattering, reflection and transmission coefficients for photon interfacial scattering are well described by Fresnel coefficients 6 . Even the involved problem of the intensity scattered by a rough interface has been adressed theoretically by Maradudin and coworkers 3 . Such a milestone has not been reached for phonon scattering and for thermal transport at crystalline a) Also at Department of Physics, Al-Baath University, Homs, Syria; Electronic mail: ali.alkurdi@univ-lyon1.fr b) Electronic mail: samy.merabia@univ-lyon1.fr interfaces in general.…”

Statistical moments for rough surface scatter from two-way parabolic integral equation at low grazing angles

“…Wave scattering from irregular surfaces continues to present formidable theoretical and computational challenges [1][2][3][4][5][6][7], especially with regard to analytical treatment of statistics, and numerical solution for wave incidence at low grazing angles [8][9][10][11][12][13], where the insonified/illuminated region may become very large. Computationally, the cost of the necessary matrix inversion scales badly with wavelength and domain size and can rapidly become prohibitive; this is compounded by the large number of Green's function evaluations, whose overall cost is therefore sensitive to the form which this function takes.…”

Localized surface-plasmon resonances on single and coupled nanoparticles through surface integral equations for flexible surfaces

“…Firstly, we have to explicitly choose the surface magnitudes that are unknowns in the system of integral equations. In the literature, sources are chosen with different criteria [26][27][28][29][30]. In this work our unknown surface magnitudes are the (two) tangential and (one) normal components of the surface electromagnetic field, namely:…”

“…On the other hand, the Green's theorem method (GTm) became an appealing method in the early nineties to study 2D semi-infinite rough surfaces [22]. The GTm has been implemented in many different ways, for many different geometrical configurations: 1D semi-infinite rough surfaces [22,23], 2D semi-infinite rough surfaces [26][27][28][29], 2D closed surfaces in parametric equations [30,31], 3D closed surfaces in electrostatic approximation [32,33], and 3D closed surfaces with axial symmetry [34]. However, it remains still undone a general implementation of the GTm for 3D closed surfaces without any approximation.…”