Surface-Localized Transmission Eigenstates, Super-resolution Imaging, and Pseudo Surface Plasmon Modes

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

36 Scopus Citations
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Author(s)

  • Yat Tin Chow
  • Youjun Deng
  • Youzi He
  • Hongyu Liu
  • Xianchao Wang

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)946-975
Journal / PublicationSIAM Journal on Imaging Sciences
Volume14
Issue number3
Online published13 Jul 2021
Publication statusPublished - 2021

Link(s)

Abstract

We present the discovery of a novel and intriguing global geometric structure of the (interior) transmission eigenfunctions associated with the Helmholtz system. It is shown in generic scenarios that there always exists a sequence of transmission eigenfunctions with the corresponding eigenvalues going to infinity such that those eigenfunctions are localized around the boundary of the domain. We provide a comprehensive and rigorous justification in the case within the radial geometry, whereas for the nonradial case, we conduct extensive numerical experiments to quantitatively verify the localizing behaviors. The discovery provides a new perspective on wave localization. As significant applications, we develop a novel inverse scattering scheme that can produce super-resolution imaging effects and propose a method of generating the so-called pseudo surface plasmon resonant (PSPR) modes with a potential sensing application.

Research Area(s)

  • transmission eigenfunctions, wave localization, super-resolution imaging, surface plasmon reso-nance, sensing, QUANTIZED HALL CONDUCTANCE, EDGE STATES, SCATTERING, CORNERS, EIGENFUNCTIONS, EIGENVALUES, SHAPE

Citation Format(s)

Surface-Localized Transmission Eigenstates, Super-resolution Imaging, and Pseudo Surface Plasmon Modes. / Chow, Yat Tin; Deng, Youjun; He, Youzi et al.
In: SIAM Journal on Imaging Sciences, Vol. 14, No. 3, 2021, p. 946-975.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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