The Scattering of Electromagnetic Waves from Two-Dimensional Randomly Rough Penetrable Surfaces

Abstract

An accurate and efficient numerical simulation approach to electromagnetic wave scattering from two-dimensional, randomly rough, penetrable surfaces is presented. The use of the Müller equations and an impedance boundary condition for a two-dimensional rough surface yields a pair of coupled two-dimensional integral equations for the sources on the surface in terms of which the scattered field is expressed through the Franz formulas. By this approach, we calculate the full angular intensity distribution of the scattered field that is due to a finite incident beam of $p$-polarized light. We specifically check the energy conservation (unitarity) of our simulations (for the non-absorbing case). Only after a detailed numerical treatment of {\em both} diagonal and close-to-diagonal matrix elements is the unitarity condition found to be well-satisfied for the non-absorbing case ($\mathcal{U}>0.995$), a result that testifies to the accuracy of our approach.

Revtex, 4 pages, 2 figures

References in corpus (2)

• A new application of reduced Rayleigh equations to electromagnetic wave scattering by two-dimensional randomly rough surfaces
• The Scattering of Electromagnetic Waves from Two-Dimensional Randomly Rough Perfectly Conducting Surfaces: The Full Angular Intensity Distribution

Cited by in corpus (8)

• Calculation of all elements of the Mueller matrix for scattering of light from a two-dimensional randomly rough metal surface
• Lattice Boltzmann Method for Electromagnetic Wave Propagation
• Satellite peaks in the scattering of light from the two-dimensional randomly rough surface of a dielectric film on a planar metal surface
• Determination of the normalized surface height autocorrelation function of a two-dimensional randomly rough dielectric surface by the inversion of light scattering data
• Selective enhancement of Selényi rings induced by the cross-correlation between the interfaces of a two-dimensional randomly rough dielectric film
• Wave scattering from two-dimensional self-affine Dirichlet and Neumann surfaces and its application to the retrieval of self-affine parameters
• The scattering of a scalar beam from isotropic and anisotropic two-dimensional randomly rough Dirichlet or Neumann surfaces: The full angular intensity distributions
• Non-parametric reconstruction of the statistical properties of penetrable, isotropic randomly rough surfaces from in-plane, co-polarized light scattering data: Application to computer generated and experimental scattering data