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Open AccessConcept Paper

Electromagnetic Wave Scattering by Small Impedance Particles of an Arbitrary Shape and Applications

Mathematics Department, Kansas State University, Manhattan, KS 66506, USA
Challenges 2014, 5(1), 35-42; https://doi.org/10.3390/challe5010035
Received: 22 September 2013 / Accepted: 16 January 2014 / Published: 7 February 2014
The proposal deals with electromagnetic (EM) wave scattering by one and many small impedance particles of an arbitrary shape. Analytic formula is derived for EM wave scattering by one small impedance particle of an arbitrary shape and an integral equation for the effective field in the medium where many such particles are embedded. These results are applied for creating a medium with a desired refraction coefficient. The proposed theory has no analogs in the literature. (Mathematical Subject Classiffication: 35J05, 35J25, 65N12, 78A25, 78A48.) View Full-Text
Keywords: Electromagnetic wave scattering; small impedance particles; many-body scattering problem; refraction coefficient; permeability; creating materials with a desired refraction coefficient Electromagnetic wave scattering; small impedance particles; many-body scattering problem; refraction coefficient; permeability; creating materials with a desired refraction coefficient
MDPI and ACS Style

Ramm, A.G. Electromagnetic Wave Scattering by Small Impedance Particles of an Arbitrary Shape and Applications. Challenges 2014, 5, 35-42.

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