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Nonlinear optical phenomena
Interaction of elliptically polarised cross-degenerate cnoidal waves in an isotropic gyrotropic medium with spatial dispersion of cubic nonlinearity
V. A. Makarovab, V. M. Petnikovaab, V. V. Shuvalovab a International Laser Center of Moscow State University
b Lomonosov Moscow State University, Faculty of Physics
Abstract:
Three unusual classes of particular analytical solutions to a system of four nonlinear equations are found for slowly varying complex amplitudes of circularly polarised components of the electric field. The system describes the self-action and interaction of two elliptically polarised plane waves collinearly propagating in an isotropic medium with second-order frequency dispersion and spatial dispersion of cubic nonlinearity. The solutions correspond to self-consistent combinations of two elliptically polarised cnoidal waves whose mutually orthogonal polarisation components vary in accordance with pairwise identical laws during propagation. At the same time, the amplitudes of the component with the same circular polarisation are proportional to two different elliptic Jacobi functions with the same periods.
Keywords:
cubic nonlinearity, spatial and frequency dispersion, elliptically polarised cnoidal wave, cross degeneration.
Received: 08.05.2015 Revised: 16.07.2015
Citation:
V. A. Makarov, V. M. Petnikova, V. V. Shuvalov, “Interaction of elliptically polarised cross-degenerate cnoidal waves in an isotropic gyrotropic medium with spatial dispersion of cubic nonlinearity”, Kvantovaya Elektronika, 45:9 (2015), 833–836 [Quantum Electron., 45:9 (2015), 833–836]
Linking options:
https://www.mathnet.ru/eng/qe16245 https://www.mathnet.ru/eng/qe/v45/i9/p833
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