Scattering and Homogenization with Small Dipole

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Year:
2014
Type of Publication:
Article
Keywords:
Somerfields Condition, Helmholtz Equation, Limiting Absorption Principle, Maxwells Equations, Homogenization, Two-Scale Convergence, Oscillating Test Functions
Authors:
Hassan TAHA
Journal:
IJSIM
Volume:
2
Number:
2
Pages:
241-247
Month:
March
Abstract:
We consider homogenization questions related to Maxwell partial differential equations. More precisely, we consider an assembly of particles, viewed as dipoles, separated in a periodic way by a typical length . The size of each dipole is denoted by . Depending on the relative size of these two scales, we describe the limit partial differential equations, showing a typical discontinuity in the effective frequency.

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