Generic Properties of Periodic Attractors in Two-Photon Processes

Paul Mandel; N. P. Pettiaux; Wang Kaige; P. Galatola; L. A. Lugiato

doi:10.1364/NLDOS.1990.OB257

Nonlinear Dynamics in Optical Systems
Technical Digest Series (Optica Publishing Group, 1990),
paper OB257
•https://doi.org/10.1364/NLDOS.1990.OB257

Generic Properties of Periodic Attractors in Two-Photon Processes

Paul Mandel, N. P. Pettiaux, Wang Kaige, P. Galatola, and L. A. Lugiato

Nonlinear Dynamics in Optical Systems 1990

Afton, Oklahoma United States
4–8 June 1990
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P. Mandel, N. P. Pettiaux, W. Kaige, P. Galatola, and L. A. Lugiato, "Generic Properties of Periodic Attractors in Two-Photon Processes," in Nonlinear Dynamics in Optical Systems, Technical Digest Series (Optica Publishing Group, 1990), paper OB257.

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Abstract

We show that the periodic attractors occurring in two-photon processes displaying a phase instability have common properties including a domain of hysteresis. The case of degenerate four-wave mixing includes also some nongeneric attractors which exhibit a Berry phase phenomenon.

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