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Definition of "symmetries of nonlinear susceptibility" |
the elements of the nonlinear susceptibility tensor are not all independent. For instance, any rotational symmetries of the material medium will be reflected in tensor properties of the susceptibility. In addition, there are symmetries that depend on the frequency dependence of the susceptibility. For instance, intrinsic permutation symmetry states that the susceptibility is unchanged under simultaneous interchange of two input frequencies and two input tensor indices. Likewise, full permutation symmetry states that the susceptibility is unchanged under simultaneous interchange of two frequencies and two tensor indices, input and output considered interchangeably. Kleinman symmetry states that the susceptibility is unchanged under interchange any two tensor indices, input and output considered interchangeably. |
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