The Resource Scattering of acoustic and electromagnetic waves by small impedance bodies of arbitrary shapes : applications to creating new engineered materials, Alexander G. Ramm
Scattering of acoustic and electromagnetic waves by small impedance bodies of arbitrary shapes : applications to creating new engineered materials, Alexander G. Ramm
Resource Information
The item Scattering of acoustic and electromagnetic waves by small impedance bodies of arbitrary shapes : applications to creating new engineered materials, Alexander G. Ramm represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Scattering of acoustic and electromagnetic waves by small impedance bodies of arbitrary shapes : applications to creating new engineered materials, Alexander G. Ramm represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.
This item is available to borrow from 1 library branch.
 Summary
 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 wavefocusing properties. The methods for creating these materials are based on the manybody 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 (selfconsistent) field in media consisting of many small impedance particles are derived. Numerical methods for solving manybody wave scattering problems are developed for small impedance scatterers
 Language
 eng
 Extent
 1 online resource (xiii, 240 pages)
 Contents

 Contents  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. Wavefocusing materials  4.1 What is a wavefocusing material?  4.2 Creating wavefocusing 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. Manybody 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 Manybody 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. Quantummechanical 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
 Isbn
 9781606506226
 Label
 Scattering of acoustic and electromagnetic waves by small impedance bodies of arbitrary shapes : applications to creating new engineered materials
 Title
 Scattering of acoustic and electromagnetic waves by small impedance bodies of arbitrary shapes
 Title remainder
 applications to creating new engineered materials
 Statement of responsibility
 Alexander G. Ramm
 Subject

 Soundwaves  Scattering
 Acoustic waves
 metamaterials
 electromagnetic eaves
 eave scattering
 Electronic books
 creating materials with a desired refraction coefficient
 Electromagnetic waves  Scattering
 Acoustic impedance
 small impedance bodies of an arbitrary shape
 Scattering (Physics)
 nanowires
 inverse problems
 wave scattering by small impedance bodies of arbitrary shapes
 radio measurements
 Language
 eng
 Summary
 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 wavefocusing properties. The methods for creating these materials are based on the manybody 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 (selfconsistent) field in media consisting of many small impedance particles are derived. Numerical methods for solving manybody wave scattering problems are developed for small impedance scatterers
 Cataloging source
 MiAaPQ
 http://library.link/vocab/creatorName
 Ramm, A. G.
 Illustrations
 illustrations
 Index
 index present
 Literary form
 non fiction
 Nature of contents

 dictionaries
 abstracts summaries
 bibliography
 http://library.link/vocab/subjectName

 Soundwaves
 Electromagnetic waves
 Scattering (Physics)
 Acoustic impedance
 Target audience
 specialized
 Label
 Scattering of acoustic and electromagnetic waves by small impedance bodies of arbitrary shapes : applications to creating new engineered materials, Alexander G. Ramm
 Bibliography note
 Includes bibliographical references (pages 229238) and index
 Carrier category
 online resource
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type MARC source
 rdacontent
 Contents

 Contents  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. Wavefocusing materials  4.1 What is a wavefocusing material?  4.2 Creating wavefocusing 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. Manybody 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 Manybody 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. Quantummechanical 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
 Control code
 EBC1495935
 Dimensions
 unknown
 Extent
 1 online resource (xiii, 240 pages)
 Form of item
 online
 Governing access note
 Restricted to libraries which purchase an unrestricted PDF download via an IP
 Isbn
 9781606506226
 Isbn Type
 (ebook)
 Media category
 computer
 Media MARC source
 rdamedia
 Note
 Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries
 Other physical details
 illustrations
 Sound
 unknown sound
 Specific material designation
 remote
 System control number

 (OCoLC)865580197
 (CaBNvSL)swl00402963
 (MiAaPQ)EBC1495935
 (AuPeEL)EBL1495935
 (CaPaEBR)ebr10810845
 (CaONFJC)MIL538630
 (OCoLC)861559782
 Label
 Scattering of acoustic and electromagnetic waves by small impedance bodies of arbitrary shapes : applications to creating new engineered materials, Alexander G. Ramm
 Bibliography note
 Includes bibliographical references (pages 229238) and index
 Carrier category
 online resource
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type MARC source
 rdacontent
 Contents

 Contents  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. Wavefocusing materials  4.1 What is a wavefocusing material?  4.2 Creating wavefocusing 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. Manybody 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 Manybody 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. Quantummechanical 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
 Control code
 EBC1495935
 Dimensions
 unknown
 Extent
 1 online resource (xiii, 240 pages)
 Form of item
 online
 Governing access note
 Restricted to libraries which purchase an unrestricted PDF download via an IP
 Isbn
 9781606506226
 Isbn Type
 (ebook)
 Media category
 computer
 Media MARC source
 rdamedia
 Note
 Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries
 Other physical details
 illustrations
 Sound
 unknown sound
 Specific material designation
 remote
 System control number

 (OCoLC)865580197
 (CaBNvSL)swl00402963
 (MiAaPQ)EBC1495935
 (AuPeEL)EBL1495935
 (CaPaEBR)ebr10810845
 (CaONFJC)MIL538630
 (OCoLC)861559782
Subject
 Acoustic impedance
 Acoustic waves
 Electromagnetic waves  Scattering
 Electronic books
 Scattering (Physics)
 Soundwaves  Scattering
 creating materials with a desired refraction coefficient
 eave scattering
 electromagnetic eaves
 inverse problems
 metamaterials
 nanowires
 radio measurements
 small impedance bodies of an arbitrary shape
 wave scattering by small impedance bodies of arbitrary shapes
Genre
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