Scattering of acoustic and electromagnetic waves by small impedance bodies of arbitrary shapes : applications to creating new engineered materials, Alexander G. Ramm, (electronic resource)
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The instance Scattering of acoustic and electromagnetic waves by small impedance bodies of arbitrary shapes : applications to creating new engineered materials, Alexander G. Ramm, (electronic resource) represents a material embodiment of a distinct intellectual or artistic creation found in University of MissouriSt. Louis Libraries. This resource is a combination of several types including: Instance, Electronic.
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Scattering of acoustic and electromagnetic waves by small impedance bodies of arbitrary shapes : applications to creating new engineered materials, Alexander G. Ramm, (electronic resource)
Resource Information
The instance Scattering of acoustic and electromagnetic waves by small impedance bodies of arbitrary shapes : applications to creating new engineered materials, Alexander G. Ramm, (electronic resource) represents a material embodiment of a distinct intellectual or artistic creation found in University of MissouriSt. Louis Libraries. This resource is a combination of several types including: Instance, Electronic.
 Label
 Scattering of acoustic and electromagnetic waves by small impedance bodies of arbitrary shapes : applications to creating new engineered materials, Alexander G. Ramm, (electronic resource)
 Title remainder
 applications to creating new engineered materials
 Medium
 electronic resource
 Statement of responsibility
 Alexander G. Ramm
 Bibliography note
 Includes bibliographical references (pages 229238) and index
 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
 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
 OCM1bookssj0001140031
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 unknown
 Isbn
 9781606506226
 Isbn Type
 (ebook)
 Other control number
 10.5643/9781606506226
 Record ID
 .b104715832
 Specific material designation
 remote
 System control number
 (WaSeSS)bookssj0001140031
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