Nonlinear Interactions of Electromagnetic Fields with Matter.

by Harold T. Yura

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An introduction to nonlinear interactions of the electromagnetic field with an isotropic, homogeneous medium. A quantum mechanical theory of two-photon propagation is presented, and an integral equation for the two-photon Green's function is derived. The classical nonlinear macroscopic Maxwell equations, which take into account double-photon effects, are derived and the phenomenological parameters that appear in these equations are related to their corresponding quantum mechanical parameters. In particular, the nonlinear polarizability and conductivity of an atomic system are derived. Numerical estimates of the nonlinear terms are given and application of this theory to the absorption of laser light in an atomic medium is discussed. In particular, it is argued that, in the case of a double resonance, the nonlinear absorption rate can be larger than the linear absorption rate

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