Electro-optical Pockels effect

The T(3) rtjk gives the linear electro-optic (Pockels) effect, while the 7(4) ptjkl is responsible for the quadratic electro-optic (Kerr) effect qtjkl is the photoelastic tensor. 

For the electro-optical Pockels effect (EOPE), the dispersion simplifies to... 

P(-gd Pockels effect dc-P Electro-optical Pockels Effect (EOPE)... 

Since the electro-optic tensor has the same symmetry as the tensor of the inverse piezoelectric effect, the linear electro-optic (Pockels) effect is confined to the symmetry groups in which piezoelectricity occurs (see Table 8.3). The electro-optic coefficients of most dielectric materials are small (of the order of 10 m V ), with the notable exception of ferroelectrics such as potassium dihydrogen phosphate (KDP KH2PO4), lithium niobate (liNbOs), lithium tantalate (LiTaOs), barium sodium niobate (Ba2NaNb50i5), or strontium barium niobate (Sro.75Bao.25Nb206) (Zheludev, 1990). For example, the tensorial matrix of KDP with symmetry group 42m has the form... 

Each expansion contains only a single second-order dispersion coefficient A- Since these coefficients for different optical processes of a given order are equivalent (Bishop 1995), they express the dispersion of frequency-dependent properties in a way that is transferable between different optical processes, for instance A describes both the second-harmonic generation and the (dc-)electro-optic Pockels effect. 

The second-harmonic generation, up or down conversion, parametric amplification, and the electro-optical (Pockel) effects, all are second-order nonlinear phenomena that result from the quadratic dependence of the medium... 

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