Spatial bounds on the effective complex permittivity for tim

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TitleSpatial bounds on the effective complex permittivity for time-harmonic waves in random mediaAbstractWe consider wave propagation in random cell materials when the wavelength is finite, so that scattering effects must be taken into account. An effective dielectric coefficient is introduced, which in general is a spatially dependent function, yet reduces, under the infinite wavelength assumptions, to the constant effective parameter in the quasistatic limit. We present an upper bound on the effective permittivity and a bound on its spatial variations that depends on the maximum volume of the inhomogeneities and the contrast of the medium. Numerical experiments illustrate the rigorous results. Â© 2011 Society for Industrial and Applied Mathematics.

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1st AuthorNathan, L. AuthorNathan, L.Dobson, D.Eso, O.Golden, K.Year2011JournalMultiscale Modeling and SimulationVolume9Number3Pages1113-1143DOI10.1137/100810848URLhttps://www.scopus.com/inward/recor.....089283e6c36bde763767c67a8KeywordsCell materialsComplex permittivityDependent functionsDielectric coefficientEffective parametersEffective permittivityEffective propertyElectromagnetic scatteringInhomogeneitiesNumerical experimentsQuasistatic limitRandom mediaScattering effectsSpatial variationsTime-harmonic wavesUpper Bound, PermittivityRandom processesWave propagation, Contrast mediaAuthor KeywordsEffective propertiesElectromagnetic scatteringRandom media

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CitationNathan, L., Dobson, D., Eso, O. and Golden, K. (2011). Spatial bounds on the effective complex permittivity for time-harmonic waves in random media. Multiscale Modeling and Simulation, 9(3):1113-1143