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Microscopic Cascading in Fifth-Order Nonlinearity Induced by Local-Field Effects

Ksenia Dolgaleva, Robert W. Boyd, John E. Sipe

Published Jan 1, 2007• 0 citations
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Abstract

Using Maxwell–Bloch approach to study nonlinear response of a collection of two-level atoms, we show that there are cascaded contributions of the third-order hyperpolarizability to the fifth-order susceptibility induced by local-field effects.
DOI
10.1364/np.2007.nwa2

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The formalism of Maker, Terhune, and Savage [Phys. Rev. Lett. 12, 507 (1964)] for third-order nonlinear susceptibilities is extended to account for nonlocal response. In the case of counterpropagating beams, we show that five constants instead of two are required in general to describe the nonlinearity. In the particular case of optical pumping nonlinearities, which we study extensively, we show that four constants, which describe the magnetization and electric-quadrupole moment of the medium induced by the forward and backward beams, are sufficient. We evaluate these constants for various values of the angular momenta of the atomic levels connected by the incident field. We finally show how this formalism can be applied to several problems such as induced focusing, four-wave-mixing generation, optical instability, and polarization properties of phase-conjugate and phase-contrast mirrors.