The components of the non-resonant part of one form of this quantity are given by the Kleinman relations. The phase shift arising from cross-phase modulation is proportional to the third-order component of this tensor quantity, which is also responsible for the DC Kerr effect. In centrosymmetric media, the even-order components of this quantity are zero, meaning sum frequency generation and second harmonic generation cannot occur. This tensor quantity is generalized into a series of coefficients which appear in the Taylor series expansion which characterizes nonlinear crystals. Relative permeability equals one plus another form of this quantity, which is negative for
The components of the non-resonant part of one form of this quantity are given by the Kleinman relations. The phase shift arising from cross-phase modulation is proportional to the third-order component of this tensor quantity, which is also responsible for the DC Kerr effect. In centrosymmetric media, the even-order components of this quantity are zero, meaning sum frequency generation and second harmonic generation cannot occur. This tensor quantity is generalized into a series of coefficients which appear in the Taylor series expansion which characterizes nonlinear crystals. Relative permeability equals one plus another form of this quantity, which is negative for a diamagnet and positive for a paramagnet. For 10 points, name this quantity symbolized chi whose "electric" form gives the polarization of a material in response to an applied E-field, and whose "magnetic" form gives the magnetization of a material in response to an applied B-field.