Wave scattering by small bodies of arbitrary shapes /

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This book presents analytical formulas which allow one to calculate the S-matrix for the acoustic and electromagnetic wave scattering by small bodies or arbitrary shapes with arbitrary accuracy. Equations for the self-consistent field in media consisting of many small bodies are derived. Application...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Ramm, A. G. (Alexander G.)
Format: Electronic eBook
Language:Inglés
Published: Singapore ; Hackensack, NJ : World Scientific, ©2005.
Subjects:
Waves > Mathematics.
Scattering (Physics) > Mathematics.
Electrostatics > Mathematics.
Iterative methods (Mathematics)
Ondes > Mathématiques.
Diffusion (Physique nucléaire) > Mathématiques.
Itération (Mathématiques)
SCIENCE > Waves & Wave Mechanics.
Electrostatics > Mathematics
Scattering (Physics) > Mathematics
Waves > Mathematics
Online Access:Texto completo
Table of Contents:
  • Basic problems
  • Iterative processes for solving Fredholm's integral equations for static problems
  • Calculating electric capacitance
  • Numerical examples
  • Calculating polarizability tensors
  • Iterative methods: mathematical results
  • Wave scattering by small bodies
  • Fredholm alternative and a characterization of Fredholm operators
  • Boundary-value problems in rough domains
  • Low frequency asymptotics
  • Finding small inhomogeneities from scattering data
  • Modified Rayleigh conjecture and application.

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