It is possible to describe the Pockels effect mathematically by first introducing the index ellipsoid a concept relating the orientation and relative magnitude of the material s refractive indices.
12.
The point group of a crystal, among other things, determines directional variation of the physical properties that arise from its structure, including birefringent, or whether it shows the Pockels effect.
13.
The principle of operation is based on the linear electro-optic effect ( the Pockels effect, the modification of the refractive index of a nonlinear crystal by an electric field in proportion to the field strength ).
14.
Where \ chi ^ { ( m ) } \ ! is the magneto-optical susceptibility ( a nonlinear optical effect of magneto-optical parametric generation ( somewhat analogous to a Pockels effect whose strength is controlled by the applied magnetic field ).
15.
Since the field inside a parallel plate capacitor depends linearly on the potential, the index of refraction depends linearly on the field ( for crystals where Pockels effect dominates ), and the phase depends linearly on the index of refraction, the phase modulation must depend linearly on the potential applied to the EOM.
16.
Where \ chi ^ { ( 1 ) } is the linear susceptibility, \ chi ^ { ( 2 ) } is the second-order susceptibility ( describing phenomena such as the Pockels effect, optical rectification and second-harmonic generation ), and \ chi ^ { ( 3 ) } is the third-order susceptibility ( describing third-order effects such as the Kerr effect and electric field-induced optical rectification ).
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