Scattering of a Plane Wave by 1-dimensional Dielectric Rough Surfaces Study of the Field in a Nonorthogonal Coordinate System

Abstract

We present a rigorous method giving the field scattered by a dielectric plane surface with a local cylindrical perturbation illuminated by a plane wave. The theory is based on Maxwell's equations written in a nonorthogonal coordinate system. A Method of Moments (PPMoM) with Pulses for basis and weighting functions is applied for solving in the spectral domain. For several deterministic profiles, we study the influence of polarization, incidence angle and perturbation depth and show that the distance defining the far-field approximation depends on the observation angle.

Implementation and validation of the curvilinear coordinate method for the scattering of electromagnetic waves from two-dimensional dielectric random rough surfaces

“…For lossless media, we obtain σ (ba) i , the flux of incident power through the modulated region. For lossless media, we show in Appendix A that the normalized bistatic scattering coefficient fulfils the power balance criterion (17) [11]. For an incident wave in (a) polarization and a scattered wave in (b) polarization, P (18) and P (ba)…”

“…The Curvilinear Coordinate Method is an exact method based on Maxwell's equations under covariant form written in a non-orthogonal coordinate system [8][9][10][11][12][13][14][15]. In our previous work [15], we have presented the implementation of this covariant formalism for analysing 2-D perfectly conducting random rough surfaces [15] and we have checked Monte Carlo simulation results by comparison with published numerical and experimental data.…”

Scattering of electromagnetic waves from two-dimensional perfectly conducting random rough surfaces – study with the curvilinear coordinate method

“…with V i = − sin ϕ i u x + cos ϕ i u y (5) and r = x u x + y u y + z u z (6) u x , u y and u z are the unit vectors of the Cartesian coordinate system (x, y, z). Without any deformation, the total field is the sum of the incident field ( E i ; H i ) and the specularly reflected field ( E sr ; H sr ) with…”

“…In previous papers, we have shown that the curvilinear coordinate method is an efficient and versatile theoretical tool for analysing 1-D rough surfaces [5][6][7]. The C method is based on Maxwell's equations written in a nonorthogonal coordinate system fitted to the structure geometry [5][6][7][8][9][10].…”

“…The C method is based on Maxwell's equations written in a nonorthogonal coordinate system fitted to the structure geometry [5][6][7][8][9][10].…”