| Description |
1 online resource (xviii, 293 pages) |
| Physical Medium |
polychrome |
| Description |
text file |
| Bibliography |
Includes bibliographical references (pages 279-287) and index. |
| Summary |
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. Th. |
| 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. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Waves -- Mathematics.
|
|
Waves -- Mathematics. |
|
Waves. |
|
Scattering (Physics) -- Mathematics.
|
|
Scattering (Physics) -- Mathematics. |
|
Scattering (Physics) |
|
Electrostatics -- Mathematics.
|
|
Electrostatics -- Mathematics. |
|
Electrostatics. |
|
Iterative methods (Mathematics)
|
|
Iterative methods (Mathematics) |
| Genre/Form |
Electronic books.
|
| Other Form: |
Print version: Ramm, A.G. (Alexander G.). Wave scattering by small bodies of arbitrary shapes. Singapore ; Hackensack, NJ : World Scientific, ©2005 9812561862 (DLC) 2006295255 (OCoLC)61270704 |
| ISBN |
9812701206 (electronic book) |
|
9789812701206 (electronic book) |
|
1281896969 |
|
9781281896964 |
|
9789812561862 |
|
9812561862 |
|
