The explicit forms of the broken (by a electric field E, magnetic field H and spatial dispersion of wave vector k) point symmetry groups of a crystal are given. For these groups the dielectric permeability tensors: ε_{ij}(ω, E), ε_{ij}(ω, H) and ε_{ij}(ω, k) - the particular cases of ε_{ij}(ω, E, H, k) - are written out (the susceptibility tensors χ_{ij}(ω, E), χ_{ij}(ω, H) and χ_{ij}(ω, k) take the same forms). In order to illustrate the results obtained the electrooptical phenomena (connected with the tensors ε_{ij}(ω, E)) are discussed.
The present symmetry theory of optical phenomena makes it possible to determine each of 122 point symmetry groups both for non-dispersive as well as dispersive media. This is achieved by considering the symmetry breaking effect external fields (separately E and H) on the propagation of electromagnetic waves. The corresponding results are collected in Tables I-III. The way of measuring the relevant physical quantities is proposed. The point symmetry of a given sample is obtained by comparing the experimental results with their theoretical counterparts. The results given in Tables I-III can also be viewed as the discussion of the "canonical" solutions (effects) for a given symmetry K.
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