
Accession Number : AD0275333
Title : INTERACTIONS BETWEEN LIGHT WAVES IN A NONLINEAR DIELECTRIC
Corporate Author : HARVARD UNIV CAMBRIDGE MASS CRUFT LAB
Personal Author(s) : ARMSTRONG,J.A. ; BLOEMBERGEN,N.
Report Date : 20 MAR 1962
Pagination or Media Count : 1
Abstract : The induced nonlinear electric dipole and higher moments in an atomic system, irradiated simultaneously by two or three light waves, are calculated by quantum mechanical perturbation theory. Terms quadratic and cubic in the field amplitudes are included. An important permutation symmetry relation for the nonlinear polarizability is derived and its frequency dependence is discussed. The nonlinear microscopic properties are related to an effective macroscopic nonlinear polarization, which may be incorporated into Maxwell's equations for an infinite, homogeneous, anisotropic, nonlinear, dielectric medium. Energy and power relationships are derived for the nonlinear dielectric which correspond to the ManleyRowe relations in the theory of parametric amplifiers. Explicit solutions are obtained for the coupled amplitude equations, which describe the interaction between a plane light wave and its second harmonic or the interaction between three plane electromagnetic waves, which satisfy the energy relationship 3 = 1 + 2 , and the approximate momentum relationship k3 = k1 + k2 + k. (Author)
Descriptors : *ATOMS, *LIGHT, DIELECTRICS, NONLINEAR SYSTEMS, QUANTUM THEORY, SOLID STATE PHYSICS, SOLIDS
Distribution Statement : APPROVED FOR PUBLIC RELEASE