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Separation of Variables in the Computation of Spectra in 2-D Photonic Crystals

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Publication:2706075
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DOI10.1137/S0036139997320895zbMath1140.78305MaRDI QIDQ2706075

Igor Ponomarev

Publication date: 19 March 2001

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)


zbMATH Keywords

electromagnetic wavescubic latticeseparation of variablesMaxwell operatorband gap structurephotonic crystalsnumeric computationelectromagnetic spectrum


Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Estimates of eigenvalues in context of PDEs (35P15) Electromagnetic theory (general) (78A25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Basic methods for problems in optics and electromagnetic theory (78M99)


Related Items

Complex dispersion relation calculations with the symmetric interior penalty method ⋮ Computation of the band structure of two-dimensional photonic crystals with \(hp\) finite elements ⋮ An efficient finite element method for computing spectra of photonic and acoustic band-gap materials. I: Scalar case



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