Interaction of elliptically polarised cross-degenerate cnoidal waves in an isotropic gyrotropic medium with spatial dispersion of cubic nonlinearity
- International Laser Center, M. V. Lomonosov Moscow State University, Moscow (Russian Federation)
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. (nonlinear optical phenomena)
- OSTI ID:
- 22551189
- Journal Information:
- Quantum Electronics (Woodbury, N.Y.), Vol. 45, Issue 9; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7818
- Country of Publication:
- United States
- Language:
- English
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