A method for creating materials with a desired refraction coefficient

Abstract

It is proposed to create materials with a desired refraction coefficient in a bounded domain D⊂ 3 by embedding many small balls with constant refraction coefficients into a given material. The number of small balls per unit volume around every point x∈ D, i.e., their density distribution, is calculated, as well as the constant refraction coefficients in these balls. Embedding into D small balls with these refraction coefficients according to the calculated density distribution creates in D a material with a desired refraction coefficient.

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