Abstract
A variational principle for the derivation of nonlinear optics equations is proposed on the basis of a functional representation of the matrix element of the evolution operator for the optical system. The equations of a single-mode field in a medium consisting of resonant and nonresonant two-level atoms are derived as an example. The competition between self-induced transparency, nonlinear scattering, and self-focusing is discussed.
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References
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova, Akademii Nauk SSSR, Vol. 180, pp. 170–175, 1990.
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Yarunin, V.S. Functional integration and variational equations of nonlinear optics. J Math Sci 68, 271–274 (1994). https://doi.org/10.1007/BF01249341
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DOI: https://doi.org/10.1007/BF01249341