Wave Scattering By Small Bodies Of Arbitrary Shapes
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A01=Alexander G Ramm
Author_Alexander G Ramm
Capacitance
Category=PHFC
Category=PHQ
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eq_isMigrated=2
eq_nobargain
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Integral Equations
Polarizability Tensors
S-Matrix
Small Bodies
Wave Scattering
Product details
- ISBN 9789812561862
- Publication Date: 25 May 2005
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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. Applications of these results to ultrasound mammography and electrical engineering are considered.The above formulas are not available in the works of other authors. Their derivation is based on a mathematical theory for solving integral equations of electrostatics, magnetostatics, and other static fields. These equations are at a simple characteristic value. Convergent iterative processes are constructed for stable solution of these equations. The theory completes the classical work of Rayleigh on scattering by small bodies by providing analytical formulas for polarizability tensors for bodies of arbitrary shapes.
