How To Prepare Materials With a Desired Refraction Coefficient?
- Department of Mathematics, Kansas State University, Manhattan, KS 66506-2602 (United States)
In this talk a method is described for preparing materials 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{sup (2-kappa/3)}) as a->0, 0<kappa<1 is a fixed parameter. The total number of the embedded particle is O(a{sup (kappa-2/)}). The physical properties of the particles are described by the boundary impedance zeta{sub m} of the m--th particle, zeta{sub m} = O(a{sup -kappa}) as a->0. The refraction coefficient is the coefficient n{sup 2}(x) in the wave equation [nabla{sup 2}+kappa{sup 2}n{sup 2}(x)]u = 0.
- OSTI ID:
- 21361962
- Journal Information:
- AIP Conference Proceedings, Vol. 1233, Issue 1; Conference: 2. international symposium on computational mechanics; 12. international conference on the enhancement and promotion of computational methods in engineering and science, Hong Kong (Hong Kong); Hong Kong (Hong Kong), 30 Nov - 3 Dec 2009; 30 Nov - 3 Dec 2009; Other Information: DOI: 10.1063/1.3452159; (c) 2010 American Institute of Physics; ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
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