Wave scattering by small bodies of arbitrary shapes /:
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...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore ; Hackensack, NJ :
World Scientific,
©2005.
|
| Schlagworte: | |
| Online-Zugang: | DE-862 DE-863 |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (xviii, 293 pages) |
| Bibliographie: | Includes bibliographical references (pages 279-287) and index. |
| ISBN: | 9812701206 9789812701206 1281896969 9781281896964 |
Internformat
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| 245 | 1 | 0 | |a Wave scattering by small bodies of arbitrary shapes / |c Alexander G. Ramm. |
| 260 | |a Singapore ; |a Hackensack, NJ : |b World Scientific, |c ©2005. | ||
| 300 | |a 1 online resource (xviii, 293 pages) | ||
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| 504 | |a Includes bibliographical references (pages 279-287) and index. | ||
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| 520 | |a 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. | ||
| 505 | 0 | |a 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. | |
| 650 | 0 | |a Waves |x Mathematics. | |
| 650 | 0 | |a Scattering (Physics) |x Mathematics. | |
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| adam_text | |
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| author | Ramm, A. G. (Alexander G.) |
| author_GND | http://id.loc.gov/authorities/names/n80129782 |
| author_facet | Ramm, A. G. (Alexander G.) |
| author_role | |
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| 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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| discipline | Physik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocm71275108 |
| illustrated | Not Illustrated |
| indexdate | 2025-03-18T14:14:12Z |
| institution | BVB |
| isbn | 9812701206 9789812701206 1281896969 9781281896964 |
| language | English |
| oclc_num | 71275108 |
| open_access_boolean | |
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| owner_facet | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| physical | 1 online resource (xviii, 293 pages) |
| psigel | ZDB-4-EBA FWS_PDA_EBA ZDB-4-EBA |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | World Scientific, |
| record_format | marc |
| spelling | Ramm, A. G. (Alexander G.) https://id.oclc.org/worldcat/entity/E39PBJht6c7MRHvFtQDQJ4MVmd http://id.loc.gov/authorities/names/n80129782 Wave scattering by small bodies of arbitrary shapes / Alexander G. Ramm. Singapore ; Hackensack, NJ : World Scientific, ©2005. 1 online resource (xviii, 293 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references (pages 279-287) and index. Print version record. 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. 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. Waves Mathematics. Scattering (Physics) Mathematics. Electrostatics Mathematics. Iterative methods (Mathematics) http://id.loc.gov/authorities/subjects/sh85069058 Ondes Mathématiques. Diffusion (Physique nucléaire) Mathématiques. Itération (Mathématiques) SCIENCE Waves & Wave Mechanics. bisacsh Electrostatics Mathematics fast Iterative methods (Mathematics) fast Scattering (Physics) Mathematics fast Waves Mathematics fast 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 |
| spellingShingle | Ramm, A. G. (Alexander G.) Wave scattering by small bodies of arbitrary shapes / 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. Waves Mathematics. Scattering (Physics) Mathematics. Electrostatics Mathematics. Iterative methods (Mathematics) http://id.loc.gov/authorities/subjects/sh85069058 Ondes Mathématiques. Diffusion (Physique nucléaire) Mathématiques. Itération (Mathématiques) SCIENCE Waves & Wave Mechanics. bisacsh Electrostatics Mathematics fast Iterative methods (Mathematics) fast Scattering (Physics) Mathematics fast Waves Mathematics fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85069058 |
| title | Wave scattering by small bodies of arbitrary shapes / |
| title_auth | Wave scattering by small bodies of arbitrary shapes / |
| title_exact_search | Wave scattering by small bodies of arbitrary shapes / |
| title_full | Wave scattering by small bodies of arbitrary shapes / Alexander G. Ramm. |
| title_fullStr | Wave scattering by small bodies of arbitrary shapes / Alexander G. Ramm. |
| title_full_unstemmed | Wave scattering by small bodies of arbitrary shapes / Alexander G. Ramm. |
| title_short | Wave scattering by small bodies of arbitrary shapes / |
| title_sort | wave scattering by small bodies of arbitrary shapes |
| topic | Waves Mathematics. Scattering (Physics) Mathematics. Electrostatics Mathematics. Iterative methods (Mathematics) http://id.loc.gov/authorities/subjects/sh85069058 Ondes Mathématiques. Diffusion (Physique nucléaire) Mathématiques. Itération (Mathématiques) SCIENCE Waves & Wave Mechanics. bisacsh Electrostatics Mathematics fast Iterative methods (Mathematics) fast Scattering (Physics) Mathematics fast Waves Mathematics fast |
| topic_facet | 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 |
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