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Journal Articles Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal Year : 2010

Enhancement of electromagnetic fields caused by interacting subwavelength cavities

Jean-François Babadjian
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Eric Bonnetier
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Faouzi Triki
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Abstract

This article is devoted to the asymptotic analysis of the electromagnetic elds scattered by a perfectly conducting plane containing two sub-wavelength rectangular cavities. The problem is formulated through an integral equation, and a spectral analysis of the integral operator is performed. Using the generalized Rouché theorem on operator valued functions, it is possible to localize two types of resonances, symmetric and anti-symmetric, in a neighborhood of each zero of some explicit function, associated to the limiting geometry. For the symmetric modes, the elds in the cavities interact in phase, and the system of two cavities essentially acts as a dipole. In the anti-symmetric case, the fields oscillate in anti-phase, and the system behaves like a quadripole. Asymptotic expansions of the resonances, the far-eld and the near-eld are given.
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Dates and versions

hal-00463102 , version 1 (26-03-2010)

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Jean-François Babadjian, Eric Bonnetier, Faouzi Triki. Enhancement of electromagnetic fields caused by interacting subwavelength cavities. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2010, 8 (4), pp.1383-1418. ⟨10.1137/100787659⟩. ⟨hal-00463102⟩
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