2003/12/22 by Antoine Soubret, A. Soubret, Soubret, A. +3 · 5 citations
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Born approximation #Electromagnetic field #Electromagnetic radiation #Field (mathematics) #Homogeneous #Integral equation #Mathematical analysis #Mathematics #Optical Coatings and Gratings #Optics #Photonic Crystals and Applications #Physics #Pure mathematics #Quantum mechanics #Random field #Scattering #Scattering theory #Statistical physics #Statistics #Surface Roughness and Optical Measurements #Wave function #physics.ao-ph #physics.optics
paper · pdf · doi:10.48550/arxiv.physics/0312133
published in arXiv (Cornell University) (Cornell University) · 33 pages, 7 figures
arxiv created 2003/12/22 · openalex publication_date 2003/12/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The problem of an electromagnetic wave scattered from a random medium layer with rough boundaries is formulated using integral equations which involve two kinds of Green functions. The first one describes the wave scattered by the random medium and the rough boundaries, and the second one which corresponds to the unperturbed Green functions describes the scattering by an homogeneous layer with the rough boundaries. As these equations are formally similar to classical equations used in scattering theory by an infinite random medium, we will be able to apply standard procedures to calculate the coherent field. We will use the coherent potential approximation where the correlations between the particles will be taken into account under the quasi-crystalline approximation.