Accession Number : AD0275333

Title :   INTERACTIONS BETWEEN LIGHT WAVES IN A NON-LINEAR 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 non-linear 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 non-linear polarizability is derived and its frequency dependence is discussed. The non-linear microscopic properties are related to an effective macroscopic non-linear polarization, which may be incorporated into Maxwell's equations for an infinite, homogeneous, anisotropic, non-linear, dielectric medium. Energy and power relationships are derived for the non-linear dielectric which correspond to the Manley-Rowe 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