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- W1988785737 abstract "We find effective, or homogenized, material parameters for Maxwell's equations when the microscopic scale becomes small compared to the scale induced by the frequencies of the imposed currents. After defining a singular value decomposition of the non-self-adjoint partial differential operator, we expand the electromagnetic field in the modes corresponding to the singular values and show that only the smallest singular values make a significant contribution to the total field when the scale is small. The homogenized material parameters can be represented with the mean values of the singular vectors through a simple formula, which is valid for wavelengths not necessarily infinitely large compared to the unit cell." @default.
- W1988785737 created "2016-06-24" @default.
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- W1988785737 date "2005-01-01" @default.
- W1988785737 modified "2023-09-26" @default.
- W1988785737 title "Homogenization of Dispersive Material Parameters for Maxwell's Equations Using a Singular Value Decomposition" @default.
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- W1988785737 doi "https://doi.org/10.1137/040614153" @default.
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