Abstract
The dielectric-constant tensor ε ij (ω,k), with spatial dispersion taken into consideration, is applied to crystals. It is shown that the formulation of the tensor ε ij (ω,k) and its use within the framework of macroscopic electrodynamics are possible only under the condition ka ≪ 1, a being the lattice constant. Hence, spatial dispersion is weak in crystal optics, and the function ε ij (ω,k) or ε −1 ij (ω,k) can be replaced by a series expansion in powers of ka. The features of such an expansion are discussed, as well as the form of the tensor ε ij (ω,k) for gyrotropic and nongyrotropic crystals of various classes.
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Agranovich, V.M., Ginzburg, V. (1984). The Tensor ε ij (ω,k) in Crystals. In: Crystal Optics with Spatial Dispersion, and Excitons. Springer Series in Solid-State Sciences, vol 42. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02406-5_3
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DOI: https://doi.org/10.1007/978-3-662-02406-5_3
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