Scattering and Homogenization with Small Dipole

Select Volume / Issue:

• Volume 2,Issue 2, March 2014

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.

Full text: IJISM_105_Final.pdf [Bibtex]