ON GEOMETRICAL PROPERTIES OF ELECTROMAGNETIC TRANSMISSION EIGENFUNCTIONS AND ARTIFICIAL MIRAGE

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

14 Scopus Citations
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Detail(s)

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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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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