ON GEOMETRICAL PROPERTIES OF ELECTROMAGNETIC TRANSMISSION EIGENFUNCTIONS AND ARTIFICIAL MIRAGE

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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Original languageEnglish
Pages (from-to)1-24
Journal / PublicationSIAM Journal on Applied Mathematics
Volume82
Issue number1
Online published5 Jan 2022
Publication statusPublished - 2022

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Publisher's Copyright Statement
  • COPYRIGHT TERMS OF DEPOSITED FINAL PUBLISHED VERSION FILE: © 2022, Society for Industrial and Applied Mathematics. Deng, Y., Liu, H., Wang, X., & Wu, W. (2022). ON GEOMETRICAL PROPERTIES OF ELECTROMAGNETIC TRANSMISSION EIGENFUNCTIONS AND ARTIFICIAL MIRAGE. SIAM Journal on Applied Mathematics, 82(1), 1-24. Advance online publication. https://doi.org/10.1137/21M1413547.
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-85116808091&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(768187bb-5088-4c4c-a51d-950ff0a85da3).html

Abstract

Transmission eigenfunctions are certain interior resonant modes that are of central importance to the wave scattering theory. In this paper, we present the discovery of novel global rigidity properties of the transmission eigenfunctions associated with the Maxwell system. It is shown that the transmission eigenfunctions carry the geometrical information of the underlying domain. We present both analytical and numerical results of these intriguing rigidity properties. As an interesting application, we propose an illusion scheme of artificially generating a mirage image of any given optical object.

Research Area(s)

  • &nbsp, electromagnetic scattering, transmission eigenfunctions, surface localization, geo-metric structure, artificial mirage, SCATTERING, CORNERS, BESSEL, ZEROS

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Publication fingerprints text

100
Eigenvector Engineering
100
Geometrical Propert... Mathematics
100
Scattering Theory Physics
100
Wave Scattering Physics
50
Rigidity Engineering
25
Resonant Mode Engineering
25
Maxwell System Mathematics
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Citation Format(s)

[ RIS ] [ BibTeX ]
ON GEOMETRICAL PROPERTIES OF ELECTROMAGNETIC TRANSMISSION EIGENFUNCTIONS AND ARTIFICIAL MIRAGE. / Deng, Youjun; Liu, Hongyu; Wang, Xianchao et al.
In: SIAM Journal on Applied Mathematics, Vol. 82, No. 1, 2022, p. 1-24.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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