2010/12/13 by A. G. Ramm, А. Г. Рамм, Ramm, A. G.
Computer Science · Engineering · Mathematics · Physics and Astronomy · #26D10 #34G20 #37L05 #44J05 #47J35 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Composite Material Mechanics #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods in inverse problems #Optics (physics.optics) #math-ph #math.AP #math.MP #msc:26D10 #msc:34G20 #msc:37L05 #msc:44J05 #msc:47J35 #physics.optics
paper · pdf · doi:10.48550/arxiv.1012.2777
openalex publication_date 2010/12/13 · arxiv created 2011/01/23 · arxiv updated 2011/01/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Scattering of electromagnetic (EM) waves by many small particles (bodies), embedded in a thin layer, is studied. Physical properties of the particles are described by their boundary impedances. The thin layer of depth of the order O(a) with many embedded in it small particles of characteristic size a, is described by a boundary condition on the surface of the layer. The limiting interface boundary condition is obtained for the effective EM field in the limiting medium, in the limit a→ 0, where the number M(a) of the particles tends to infinity at a suitable rate.