GRADIENT ESTIMATES FOR ELECTRIC FIELDS WITH MULTISCALE INCLUSIONS IN THE QUASI-STATIC REGIME

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

2 Scopus Citations
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Original languageEnglish
Pages (from-to)641-656
Journal / PublicationMultiscale Modeling and Simulation
Volume20
Issue number2
Online published24 Jun 2022
Publication statusPublished - 2022

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Abstract

In this paper, we are concerned with the gradient estimate of the electric field due to two nearly touching dielectric inclusions, which is a central topic in the theory of composite materials. We derive accurate quantitative characterizations of the gradient fields in the transverse electromagnetic case within the quasi-static regime, which clearly indicate the optimal blowup rate or nonblowup of the gradient fields in different scenarios. There are mainly two novelties of our study. First, the sizes of the two material inclusions may be of different scales. Second, we consider our study in the quasi-static regime, whereas most of the existing studies are concerned with the static case.

Research Area(s)

  • composite optical materials, nearly touching inclusions, gradient estimates, blowup, quasi-static, multiscale, PLASMON RESONANCES, PERFECT, SYSTEM

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