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Creating materials with a desired refraction coefficient /

In Ramm's second edition on refraction coefficient the author shares his recipe for creating materials with a desired refraction coefficient and solves the many-body wave scattering problem for many small impedance bodies. Technical problems are described which, when solved, make this theory pr...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Ramm, A. G. (Alexander G.) (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2020]
Edición:Second edition.
Colección:IOP ebooks. 2020 collection.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Introduction
  • 2. Wave scattering by many small impedance particles
  • 2.1. Scalar wave scattering by one small body of an arbitrary shape
  • 2.2. Scalar wave scattering by many small bodies of an arbitrary shape
  • 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. On non-over-determined inverse problems
  • 5.1. Introduction
  • 5.2. Proof of theorem 5.1.1
  • 5.3. A numerical method
  • 5.4. Summary of the results
  • 6. Experimental verification of the method for creating materials
  • 6.1. Moving the refraction coefficient in the desired direction
  • 6.2. The case of a bounded region
  • 6.3. Embedding acoustically soft particles
  • 6.4. Summary of the results
  • 7. A symmetry property in harmonic analysis
  • 7.1. Summary of the results
  • 8. Inverse scattering problem
  • 8.1. Summary of the results.