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Photon-Electron Interaction, Crystals Without Fields

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Book cover Light and Matter Ia / Licht und Materie Ia

Part of the book series: Encyclopedia of Physics / Handbuch der Physik ((PHYSIK 5,volume 5 / 25 / 2 / 2a))

Abstract

In the Maxwell equations, the property of matter is represented by a dielectric constant and a permeability. We are interested in materials for which only the dielectric constant, e,needs to be considered. The dielectric constant is a frequency dependent tensor quantity for crystalline solids. It reduces to a scalar quantity for crystals of cubic symmetry and for polycrystalline materials which may be regarded as isotropic. The dielectric constant depends also on the wave vector, \(\bar{K} \),in addition to the frequency and the polarization of the radiation field:\( \tilde{\varepsilon }\)(\( \bar{K}\) w). However, for optical radiation K is negligibly small on the scale of the Brillouin zone of the crystal, and the relevant quantity is \( \tilde{\varepsilon }\) (0, ω).

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  1. H. Y. Fan
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L. Genzel

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Fan, H.Y. (1967). Photon-Electron Interaction, Crystals Without Fields. In: Genzel, L. (eds) Light and Matter Ia / Licht und Materie Ia. Encyclopedia of Physics / Handbuch der Physik, vol 5 / 25 / 2 / 2a. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46074-6_3

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