Scattering of acoustic and electromagnetic waves by small impedance bodies of arbitrary shapes: applications to creating new engineered materials
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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New York [New York] (222 East 46th Street, New York, NY 10017)
Momentum Press
2013
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| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Title from PDF title page (viewed December 18, 2013) Includes bibliographical references (pages 229-238) and index Preface -- Introduction 1. Scalar wave scattering by one small body of an arbitrary shape -- 1.1 Impedance bodies -- 1.2 Acoustically soft bodies (the Dirichlet boundary condition) -- 1.3 Acoustically hard bodies (the Neumann boundary condition) -- 1.4 The interface (transmission) boundary condition -- 1.5 Summary of the results 2. Scalar wave scattering by many small bodies of an arbitrary shape -- 2.1 Impedance bodies -- 2.2 The Dirichlet boundary condition -- 2.3 The Neumann boundary condition -- 2.4 The transmission boundary condition -- 2.5 Wave scattering in an inhomogeneous medium -- 2.6 Summary of the results 3. Creating materials with a desired refraction coefficient -- 3.1 Scalar wave scattering. Formula for the refraction coefficient -- 3.2 A recipe for creating materials with a desired refraction coefficient -- 3.3 A discussion of the practical implementation of the recipe -- 3.4 Summary of the results 4. Wave-focusing materials -- 4.1 What is a wave-focusing material? -- 4.2 Creating wave-focusing materials -- 4.3 Computational aspects of the problem -- 4.4 Open problems -- 4.5 Summary of the results 5. Electromagnetic wave scattering by a single small body of an arbitrary shape -- 5.1 The impedance boundary condition -- 5.2 Perfectly conducting bodies -- 5.3 Formulas for the scattered field in the case of EM wave scattering by one impedance small body of an arbitrary shape -- 5.4 Summary of the results 6. Many-body scattering problem in the case of small scatterers -- 6.1 Reduction of the problem to linear algebraic system -- 6.2 Derivation of the integral equation for the effective field -- 6.3 Summary of the results 7. Creating materials with a desired refraction coefficient -- 7.1 A formula for the refraction coefficient -- 7.2 Formula for the magnetic permeability -- 7.3 Summary of the results 8. Electromagnetic wave scattering by many nanowires -- 8.1 Statement of the problem -- 8.2 Asymptotic solution of the problem -- 8.3 Many-body scattering problem equation for the effective field -- 8.4 Physical properties of the limiting medium -- 8.5 Summary of the results 9. Heat transfer in a medium in which many small bodies are embedded -- 9.1 Introduction -- 9.2 Derivation of the equation for the limiting temperature -- 9.3 Various results -- 9.4 Summary of the results 10. Quantum-mechanical wave scattering by many potentials with small support -- 10.1 Problem formulation -- 10.2 Proofs -- 10.3 Summary of the results 11. Some results from the potential theory -- 11.1 Potentials of the simple and double layers -- 11.2 Replacement of the surface potentials -- 11.3 Asymptotic behavior of the solution to the Helmholtz equation under the impedance boundary condition -- 11.4 Some properties of the electrical capacitance -- 11.5 Summary of the results 12. Collocation method -- 12.1 Convergence of the collocation method -- 12.2 Collocation method and homogenization -- 12.3 Summary of the results 13. Some inverse problems related to small scatterers -- 13.1 Finding the position and size of a small body from the scattering data -- 13.2 Finding small subsurface inhomogeneities -- 13.3 Inverse radio measurements problem -- 13.4 Summary of the results Appendix -- A1. Banach and Hilbert spaces -- A2. A result from perturbation theory -- A3. The Fredholm alternative -- Bibliographical notes -- Bibliography -- Index In this book, mathematicians, engineers, physicists, and materials scientists will learn how to create material with a desired refraction coefficient. For example, how to create material with negative refraction or with desired wave-focusing properties. The methods for creating these materials are based on the many-body wave scattering theory developed by the author. The book offers new analytical formulas that allow one to calculate acoustic and electromagnetic waves, scattered by one and many small impedance bodies of an arbitrary shape under various boundary conditions. Equations for the effective (self-consistent) field in media consisting of many small impedance particles are derived. Numerical methods for solving many-body wave scattering problems are developed for small impedance scatterers |
| Beschreibung: | 1 Online-Ressource (1 PDF (xiii, 240 pages :)) |
| ISBN: | 1606506226 9781606506226 |
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| 100 | 1 | |a Ramm, A. G. , (Alexander G.) |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Scattering of acoustic and electromagnetic waves by small impedance bodies of arbitrary shapes |b applications to creating new engineered materials |c Alexander G. Ramm |
| 264 | 1 | |a New York [New York] (222 East 46th Street, New York, NY 10017) |b Momentum Press |c 2013 | |
| 300 | |a 1 Online-Ressource (1 PDF (xiii, 240 pages :)) | ||
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| 500 | |a Title from PDF title page (viewed December 18, 2013) | ||
| 500 | |a Includes bibliographical references (pages 229-238) and index | ||
| 500 | |a Preface -- Introduction | ||
| 500 | |a 1. Scalar wave scattering by one small body of an arbitrary shape -- 1.1 Impedance bodies -- 1.2 Acoustically soft bodies (the Dirichlet boundary condition) -- 1.3 Acoustically hard bodies (the Neumann boundary condition) -- 1.4 The interface (transmission) boundary condition -- 1.5 Summary of the results | ||
| 500 | |a 2. Scalar wave scattering by many small bodies of an arbitrary shape -- 2.1 Impedance bodies -- 2.2 The Dirichlet boundary condition -- 2.3 The Neumann boundary condition -- 2.4 The transmission boundary condition -- 2.5 Wave scattering in an inhomogeneous medium -- 2.6 Summary of the results | ||
| 500 | |a 3. Creating materials with a desired refraction coefficient -- 3.1 Scalar wave scattering. Formula for the refraction coefficient -- 3.2 A recipe for creating materials with a desired refraction coefficient -- 3.3 A discussion of the practical implementation of the recipe -- 3.4 Summary of the results | ||
| 500 | |a 4. Wave-focusing materials -- 4.1 What is a wave-focusing material? -- 4.2 Creating wave-focusing materials -- 4.3 Computational aspects of the problem -- 4.4 Open problems -- 4.5 Summary of the results | ||
| 500 | |a 5. Electromagnetic wave scattering by a single small body of an arbitrary shape -- 5.1 The impedance boundary condition -- 5.2 Perfectly conducting bodies -- 5.3 Formulas for the scattered field in the case of EM wave scattering by one impedance small body of an arbitrary shape -- 5.4 Summary of the results | ||
| 500 | |a 6. Many-body scattering problem in the case of small scatterers -- 6.1 Reduction of the problem to linear algebraic system -- 6.2 Derivation of the integral equation for the effective field -- 6.3 Summary of the results | ||
| 500 | |a 7. Creating materials with a desired refraction coefficient -- 7.1 A formula for the refraction coefficient -- 7.2 Formula for the magnetic permeability -- 7.3 Summary of the results | ||
| 500 | |a 8. Electromagnetic wave scattering by many nanowires -- 8.1 Statement of the problem -- 8.2 Asymptotic solution of the problem -- 8.3 Many-body scattering problem equation for the effective field -- 8.4 Physical properties of the limiting medium -- 8.5 Summary of the results | ||
| 500 | |a 9. Heat transfer in a medium in which many small bodies are embedded -- 9.1 Introduction -- 9.2 Derivation of the equation for the limiting temperature -- 9.3 Various results -- 9.4 Summary of the results | ||
| 500 | |a 10. Quantum-mechanical wave scattering by many potentials with small support -- 10.1 Problem formulation -- 10.2 Proofs -- 10.3 Summary of the results | ||
| 500 | |a 11. Some results from the potential theory -- 11.1 Potentials of the simple and double layers -- 11.2 Replacement of the surface potentials -- 11.3 Asymptotic behavior of the solution to the Helmholtz equation under the impedance boundary condition -- 11.4 Some properties of the electrical capacitance -- 11.5 Summary of the results | ||
| 500 | |a 12. Collocation method -- 12.1 Convergence of the collocation method -- 12.2 Collocation method and homogenization -- 12.3 Summary of the results | ||
| 500 | |a 13. Some inverse problems related to small scatterers -- 13.1 Finding the position and size of a small body from the scattering data -- 13.2 Finding small subsurface inhomogeneities -- 13.3 Inverse radio measurements problem -- 13.4 Summary of the results | ||
| 500 | |a Appendix -- A1. Banach and Hilbert spaces -- A2. A result from perturbation theory -- A3. The Fredholm alternative -- Bibliographical notes -- Bibliography -- Index | ||
| 500 | |a In this book, mathematicians, engineers, physicists, and materials scientists will learn how to create material with a desired refraction coefficient. For example, how to create material with negative refraction or with desired wave-focusing properties. The methods for creating these materials are based on the many-body wave scattering theory developed by the author. The book offers new analytical formulas that allow one to calculate acoustic and electromagnetic waves, scattered by one and many small impedance bodies of an arbitrary shape under various boundary conditions. Equations for the effective (self-consistent) field in media consisting of many small impedance particles are derived. Numerical methods for solving many-body wave scattering problems are developed for small impedance scatterers | ||
| 650 | 7 | |a SCIENCE / Acoustics & Sound |2 bisacsh | |
| 650 | 7 | |a Sound-waves / Scattering |2 local | |
| 650 | 7 | |a Electromagnetic waves / Scattering |2 local | |
| 650 | 7 | |a Acoustic impedance |2 local | |
| 650 | 7 | |a Acoustic impedance |2 fast | |
| 650 | 7 | |a Electromagnetic waves / Scattering |2 fast | |
| 650 | 7 | |a Scattering (Physics) |2 fast | |
| 650 | 7 | |a Sound-waves / Scattering |2 fast | |
| 650 | 4 | |a Sound-waves |x Scattering | |
| 650 | 4 | |a Electromagnetic waves |x Scattering | |
| 650 | 4 | |a Scattering (Physics) | |
| 650 | 4 | |a Acoustic impedance | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 1-60650-621-8 |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-1-60650-621-9 |
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Datensatz im Suchindex
| _version_ | 1804175592602468352 |
|---|---|
| any_adam_object | |
| author | Ramm, A. G. , (Alexander G.) |
| author_facet | Ramm, A. G. , (Alexander G.) |
| author_role | aut |
| author_sort | Ramm, A. G. , (Alexander G.) |
| author_variant | a g a g r agag agagr |
| building | Verbundindex |
| bvnumber | BV043142193 |
| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)865580197 (DE-599)BVBBV043142193 |
| dewey-full | 534.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 534 - Sound and related vibrations |
| dewey-raw | 534.2 |
| dewey-search | 534.2 |
| dewey-sort | 3534.2 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Electronic eBook |
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| id | DE-604.BV043142193 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:18:44Z |
| institution | BVB |
| isbn | 1606506226 9781606506226 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028566384 |
| oclc_num | 865580197 |
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| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (1 PDF (xiii, 240 pages :)) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2013 |
| publishDateSearch | 2013 |
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| publisher | Momentum Press |
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| spelling | Ramm, A. G. , (Alexander G.) Verfasser aut Scattering of acoustic and electromagnetic waves by small impedance bodies of arbitrary shapes applications to creating new engineered materials Alexander G. Ramm New York [New York] (222 East 46th Street, New York, NY 10017) Momentum Press 2013 1 Online-Ressource (1 PDF (xiii, 240 pages :)) txt rdacontent c rdamedia cr rdacarrier Title from PDF title page (viewed December 18, 2013) Includes bibliographical references (pages 229-238) and index Preface -- Introduction 1. Scalar wave scattering by one small body of an arbitrary shape -- 1.1 Impedance bodies -- 1.2 Acoustically soft bodies (the Dirichlet boundary condition) -- 1.3 Acoustically hard bodies (the Neumann boundary condition) -- 1.4 The interface (transmission) boundary condition -- 1.5 Summary of the results 2. Scalar wave scattering by many small bodies of an arbitrary shape -- 2.1 Impedance bodies -- 2.2 The Dirichlet boundary condition -- 2.3 The Neumann boundary condition -- 2.4 The transmission boundary condition -- 2.5 Wave scattering in an inhomogeneous medium -- 2.6 Summary of the results 3. Creating materials with a desired refraction coefficient -- 3.1 Scalar wave scattering. Formula for the refraction coefficient -- 3.2 A recipe for creating materials with a desired refraction coefficient -- 3.3 A discussion of the practical implementation of the recipe -- 3.4 Summary of the results 4. Wave-focusing materials -- 4.1 What is a wave-focusing material? -- 4.2 Creating wave-focusing materials -- 4.3 Computational aspects of the problem -- 4.4 Open problems -- 4.5 Summary of the results 5. Electromagnetic wave scattering by a single small body of an arbitrary shape -- 5.1 The impedance boundary condition -- 5.2 Perfectly conducting bodies -- 5.3 Formulas for the scattered field in the case of EM wave scattering by one impedance small body of an arbitrary shape -- 5.4 Summary of the results 6. Many-body scattering problem in the case of small scatterers -- 6.1 Reduction of the problem to linear algebraic system -- 6.2 Derivation of the integral equation for the effective field -- 6.3 Summary of the results 7. Creating materials with a desired refraction coefficient -- 7.1 A formula for the refraction coefficient -- 7.2 Formula for the magnetic permeability -- 7.3 Summary of the results 8. Electromagnetic wave scattering by many nanowires -- 8.1 Statement of the problem -- 8.2 Asymptotic solution of the problem -- 8.3 Many-body scattering problem equation for the effective field -- 8.4 Physical properties of the limiting medium -- 8.5 Summary of the results 9. Heat transfer in a medium in which many small bodies are embedded -- 9.1 Introduction -- 9.2 Derivation of the equation for the limiting temperature -- 9.3 Various results -- 9.4 Summary of the results 10. Quantum-mechanical wave scattering by many potentials with small support -- 10.1 Problem formulation -- 10.2 Proofs -- 10.3 Summary of the results 11. Some results from the potential theory -- 11.1 Potentials of the simple and double layers -- 11.2 Replacement of the surface potentials -- 11.3 Asymptotic behavior of the solution to the Helmholtz equation under the impedance boundary condition -- 11.4 Some properties of the electrical capacitance -- 11.5 Summary of the results 12. Collocation method -- 12.1 Convergence of the collocation method -- 12.2 Collocation method and homogenization -- 12.3 Summary of the results 13. Some inverse problems related to small scatterers -- 13.1 Finding the position and size of a small body from the scattering data -- 13.2 Finding small subsurface inhomogeneities -- 13.3 Inverse radio measurements problem -- 13.4 Summary of the results Appendix -- A1. Banach and Hilbert spaces -- A2. A result from perturbation theory -- A3. The Fredholm alternative -- Bibliographical notes -- Bibliography -- Index In this book, mathematicians, engineers, physicists, and materials scientists will learn how to create material with a desired refraction coefficient. For example, how to create material with negative refraction or with desired wave-focusing properties. The methods for creating these materials are based on the many-body wave scattering theory developed by the author. The book offers new analytical formulas that allow one to calculate acoustic and electromagnetic waves, scattered by one and many small impedance bodies of an arbitrary shape under various boundary conditions. Equations for the effective (self-consistent) field in media consisting of many small impedance particles are derived. Numerical methods for solving many-body wave scattering problems are developed for small impedance scatterers SCIENCE / Acoustics & Sound bisacsh Sound-waves / Scattering local Electromagnetic waves / Scattering local Acoustic impedance local Acoustic impedance fast Electromagnetic waves / Scattering fast Scattering (Physics) fast Sound-waves / Scattering fast Sound-waves Scattering Electromagnetic waves Scattering Scattering (Physics) Acoustic impedance Erscheint auch als Druckausgabe 1-60650-621-8 Erscheint auch als Druckausgabe 978-1-60650-621-9 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=655414 Aggregator Volltext |
| spellingShingle | Ramm, A. G. , (Alexander G.) Scattering of acoustic and electromagnetic waves by small impedance bodies of arbitrary shapes applications to creating new engineered materials SCIENCE / Acoustics & Sound bisacsh Sound-waves / Scattering local Electromagnetic waves / Scattering local Acoustic impedance local Acoustic impedance fast Electromagnetic waves / Scattering fast Scattering (Physics) fast Sound-waves / Scattering fast Sound-waves Scattering Electromagnetic waves Scattering Scattering (Physics) Acoustic impedance |
| title | Scattering of acoustic and electromagnetic waves by small impedance bodies of arbitrary shapes applications to creating new engineered materials |
| title_auth | Scattering of acoustic and electromagnetic waves by small impedance bodies of arbitrary shapes applications to creating new engineered materials |
| title_exact_search | Scattering of acoustic and electromagnetic waves by small impedance bodies of arbitrary shapes applications to creating new engineered materials |
| title_full | Scattering of acoustic and electromagnetic waves by small impedance bodies of arbitrary shapes applications to creating new engineered materials Alexander G. Ramm |
| title_fullStr | Scattering of acoustic and electromagnetic waves by small impedance bodies of arbitrary shapes applications to creating new engineered materials Alexander G. Ramm |
| title_full_unstemmed | Scattering of acoustic and electromagnetic waves by small impedance bodies of arbitrary shapes applications to creating new engineered materials Alexander G. Ramm |
| title_short | Scattering of acoustic and electromagnetic waves by small impedance bodies of arbitrary shapes |
| title_sort | scattering of acoustic and electromagnetic waves by small impedance bodies of arbitrary shapes applications to creating new engineered materials |
| title_sub | applications to creating new engineered materials |
| topic | SCIENCE / Acoustics & Sound bisacsh Sound-waves / Scattering local Electromagnetic waves / Scattering local Acoustic impedance local Acoustic impedance fast Electromagnetic waves / Scattering fast Scattering (Physics) fast Sound-waves / Scattering fast Sound-waves Scattering Electromagnetic waves Scattering Scattering (Physics) Acoustic impedance |
| topic_facet | SCIENCE / Acoustics & Sound Sound-waves / Scattering Electromagnetic waves / Scattering Acoustic impedance Scattering (Physics) Sound-waves Scattering Electromagnetic waves Scattering |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=655414 |
| work_keys_str_mv | AT rammagalexanderg scatteringofacousticandelectromagneticwavesbysmallimpedancebodiesofarbitraryshapesapplicationstocreatingnewengineeredmaterials |