Electromagnetic field enhancement in a subwavelength rectangular open cavity

Yixian Gao (), Peijun Li () and Xiaokai Yuan ()
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Yixian Gao: Northeast Normal University
Peijun Li: Purdue University
Xiaokai Yuan: Zhejiang University

Partial Differential Equations and Applications, 2021, vol. 2, issue 4, 1-51

Abstract: Abstract Consider the transverse magnetic polarization of the electromagnetic scattering of a plane wave by a perfectly conducting plane surface, which contains a two-dimensional subwavelength rectangular cavity. The enhancement is investigated fully for the electric and magnetic fields arising in such an interaction. The cavity wall is assumed to be a perfect electric conductor, while the cavity bottom is allowed to be either a perfect electric conductor or a perfect magnetic conductor. We show that the significant field enhancement may be achieved in both nonresonant and resonant regimes. The proofs are based on variational approaches, layer potential techniques, boundary integral equations, and asymptotic analysis. Numerical experiments are also presented to confirm the theoretical findings.

Keywords: Cavity scattering problem; Electromagnetic field enhancement; Scattering resonances; Helmholtz equation; Variational formulation; Boundary integral equation; Asymptotic analysis; 45A05; 35C20; 35Q60; 35C15 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s42985-021-00108-5

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