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Modal approximation for plasmonic resonators in the time domain: the scalar case

Author

Listed:
  • Lorenzo Baldassari

    (ETH Zürich)

  • Pierre Millien

    (Institut Langevin, ESPCI Paris, PSL University, CNRS)

  • Alice L. Vanel

    (ETH Zürich)

Abstract

We study the electromagnetic field scattered by a metallic nanoparticle with dispersive material parameters in a resonant regime. We consider the particle placed in a homogeneous medium in a low-frequency regime. We define modes for the non-Hermitian problem as perturbations of electro-static modes, and obtain a modal approximation of the scattered field in the frequency domain. The poles of the expansion correspond to the eigenvalues of a singular boundary integral operator and are shown to lie in a bounded region near the origin of the lower-half complex plane. Finally, we show that this modal representation gives a very good approximation of the field in the time domain. We present numerical simulations in two dimensions to corroborate our results.

Suggested Citation

  • Lorenzo Baldassari & Pierre Millien & Alice L. Vanel, 2021. "Modal approximation for plasmonic resonators in the time domain: the scalar case," Partial Differential Equations and Applications, Springer, vol. 2(4), pages 1-40, August.
    • Handle: RePEc:spr:pardea:v:2:y:2021:i:4:d:10.1007_s42985-021-00098-4
    DOI: 10.1007/s42985-021-00098-4
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