Creating desired potentials by embedding small inhomogeneities
نویسندگان
چکیده
منابع مشابه
Many-body wave scattering by small bodies and creating materials with a desired refraction coefficient
Many-body scattering problem is solved asymptotically when the size of the particles tends to zero and the number of the particles tends to infinity. A method is given for calculation of the number of small particles and their boundary impedances such that embedding of these particles in a bounded domain, filled with known material, results in creating a new material with a desired refraction c...
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Electromagnetic wave scattering by many small particles is studied. An integral equation is derived for the self-consistent field E in a medium, obtained by embedding many small particles into a given region D. The derivation of this integral equation uses a lemma about convergence of certain sums. These sums are similar to Riemannian sums for the integral equation for E. Convergence of these s...
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Abstract. Combining an asymptotic method and computational modeling the authors propose a method for creating materials with the desired electrodynamical characteristics, in particular, with a desired refraction coefficient. The problem of wave scattering by many small particles is solved asymptotically under the assumptions ka << 1, d >> a, where a is the size of the particles and d is the dis...
متن کاملMaterials with a desired refraction coefficient can be made by embedding small particles
A method is proposed to create materials with a desired refraction coefficient, possibly negative one. The method consists of embedding into a given material small particles. Given n0(x), the refraction coefficient of the original material in a bounded domain D ⊂ R3, and a desired refraction coefficient n(x), one calculates the number N(x) of small particles, to be embedded in D around a point ...
متن کاملWave scattering by small bodies and creating materials with a desired refraction coefficient
In this paper the author’s invited plenary talk at the 7-th PACOM (PanAfrican 1 Congress of Mathematicians), is presented. Asymptotic solution to many-body wave scat2 tering problem is given in the case of many small scatterers. The small scatterers can be 3 particles whose physical properties are described by the boundary impedances, or they can 4 be small inhomogeneities, whose physical prope...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2009
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.3267887