Creating materials with a desired refraction coefficient / Alexander G. Ramm.

Format:

Book

Author/Creator:

Ramm, A. G. (Alexander G.), author.

Contributor:

Morgan & Claypool Publishers, publisher.

Institute of Physics (Great Britain), publisher.

Series:

IOP (Series). Release 4.

IOP concise physics

[IOP release 4]

IOP concise physics, 2053-2571

Language:

English

Subjects (All):

Materials--Optical properties.

Materials.

Physical Description:

1 online resource (various pagings).

Distribution:

Bristol [England] : IOP Publishing, [2017]

Place of Publication:

San Rafael [California] : Morgan & Claypool Publishers, [2017]

System Details:

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.

text file

Biography/History:

Alexander G. Ramm, is Professor of Mathematics; is the author of 680 research papers, 14 monographs, and edited three books. He was Fulbright Research Professor in Israel and in Ukraine and won the Khwarizmi international award. Recently he solved inverse scattering problems with non-over-determined data and the many-body wave scattering problem when the scatterers are small particles of an arbitrary shape, and used this theory to give a recipe for creating materials with a desired refraction coefficient and gave a solution to the Pompeiu problem.

Summary:

Creating Materials with a Desired Refraction Coefficient' provides a recipe for creating materials with a desired refraction coefficient, and the many-body wave scattering problem for many small impedance bodies is solved. The physical assumptions make the multiple scattering effects essential. On the basis of this theory, a recipe for creating materials with a desired refraction coefficient is given. Technological problems are formulated which, when solved, make the theory practically applicable. The Importance of a problem of producing a small particle with a desired boundary impedance is emphasized, and inverse scattering with non-over-determined scattering data is considered.

Contents:

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.

Notes:

"Version: 20171201"--Title page verso.

"A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.

Includes bibliographical references.

Title from PDF title page (viewed on January 11, 2018).

Other Format:

Print version:

ISBN:

9781681747088

9781681747101

OCLC:

1019445690

Access Restriction:

Restricted for use by site license.