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Nonlinear Optical Frequency Polarization in a Dielectric
Phys. Rev. 134, A728 – Published 4 May, 1964
DOI: https://doi.org/10.1103/PhysRev.134.A728
Abstract
A perturbation calculation of optical frequency polarization quadratic in the Maxwell field is made for a dielectric in which the electrons are localized on units of the crystal. The result is expressed in a power series in where is the size of the unit and is the wave number of the field. The term of zeroth order is the electric-dipole term which vanishes in a crystal with a center of symmetry. The term first order in is separated into electric-quadrupole and magnetic-dipole contributions by introducing a special gauge for the electromagnetic potentials. Higher power terms are neglected.
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Omitted endnote