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

Περιλαμβάνει βιβλιογραφικές παραπομοπές.

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.

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.