Preparing materials with a desired refraction coefficient

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Preparing materials with a desired refraction coefficient

A recipe is given for creating material with a desired refraction coefficient by embedding many small particles in a given material. To implement this recipe practically, some technological problems have to be solved. These problems are formulated. PACS 43.20.+g, 62.40.+d, 78.20.-e. MSC 35J10, 74J25, 81U40

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Preparing materials with a desired refraction coefficient and applications

A recipe is given for creating material with a desired refraction coefficient by embedding many small particles in a given material. To implement practically this recipe, some technological problems are to be solved. These problems are formulated. Applications of the materials with a desired refraction coefficient are mentioned. One of the possible applications is preparing materials with desir...

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Creating materials with a desired refraction coefficient

A method is given for creating material with a desired refraction coefficient. The method consists of embedding into a material with known refraction coefficient many small particles of size a. The number of particles per unit volume around any point is prescribed, the distance between neighboring particles is O(a 2−κ 3 ) as a → 0, 0 < κ < 1 is a fixed parameter. The total number of the embedde...

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A method for creating materials with a desired refraction coefficient

It is proposed to create materials with a desired refraction coefficient in a bounded domain D ⊂ R 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 bal...

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Creating materials with a desired refraction coefficient: numerical experiments

A recipe for creating materials with a desired refraction coefficient is implemented numerically. The following assumptions are used: ζm = h(xm)/a , d = O(a), M = O(1/a), κ ∈ (0, 1), where ζm and xm are the boundary impedance and center of the m-th ball, respectively, h(x) ∈ C(D), Imh(x) ≤ 0, M is the number of small balls embedded in the cube D, a is the radius of the small balls and d is the ...

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ژورنال

عنوان ژورنال: Nonlinear Analysis: Theory, Methods & Applications

سال: 2009

ISSN: 0362-546X

DOI: 10.1016/j.na.2008.10.011