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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

High-order nonlinear susceptibilities

Richard T. Hammond

Published Jun 1, 1991• 0 citations
Publisher

Abstract

A newly developed expansion technique is used on the density operator in quantum optics. It is shown how an expectation value of order n can be written in terms of the (n-2) order. From this, a simple formulation of high order nonlinear susceptibilities is presented and some examples are given.
DOI
10.1117/12.43576

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Abstract The book so far is almost entirely concerned with linear optical processes, where the response of a material to incident light is described by its linear susceptibility and the rates of optical processes are proportional to the incident intensity. However, examples of nonlinear behaviour occur in the saturation of atomic transitions, discussed in §1.7, and in the power-broadened susceptibility, derived in eqn (2.8.6). Atomic saturation is also an important component in the laser theory of§§t.10 and 7.3. The expressions derived in these examples contain the electromagnetic energy density or photon number in denominators whose expansions include terms proportional to all positive powers of the optical energy. The higherorder, or nonlinear, terms are normally much smaller than the linear term for conventional light sources but their influence is often significant in experiments that use laser sources. The present chapter treats the effects of the nonlinear terms in modifying the properties of incident light beams.
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