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Electromagnetic field enhancement in a subwavelength rectangular open cavity

Author

Listed:
  • Yixian Gao

    (Northeast Normal University)

  • Peijun Li

    (Purdue University)

  • Xiaokai Yuan

    (Zhejiang University)

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.

Suggested Citation

  • Yixian Gao & Peijun Li & Xiaokai Yuan, 2021. "Electromagnetic field enhancement in a subwavelength rectangular open cavity," Partial Differential Equations and Applications, Springer, vol. 2(4), pages 1-51, August.
    • Handle: RePEc:spr:pardea:v:2:y:2021:i:4:d:10.1007_s42985-021-00108-5
    DOI: 10.1007/s42985-021-00108-5
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    References listed on IDEAS

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    1. Xiaoshu Chen & Hyeong-Ryeol Park & Matthew Pelton & Xianji Piao & Nathan C. Lindquist & Hyungsoon Im & Yun Jung Kim & Jae Sung Ahn & Kwang Jun Ahn & Namkyoo Park & Dai-Sik Kim & Sang-Hyun Oh, 2013. "Atomic layer lithography of wafer-scale nanogap arrays for extreme confinement of electromagnetic waves," Nature Communications, Nature, vol. 4(1), pages 1-7, December.
    2. T. W. Ebbesen & H. J. Lezec & H. F. Ghaemi & T. Thio & P. A. Wolff, 1998. "Extraordinary optical transmission through sub-wavelength hole arrays," Nature, Nature, vol. 391(6668), pages 667-669, February.
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