2004/09/28 by A. Yu. Okulov, Okulov, A. Yu.
Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Optics (physics.optics) #Pattern Formation and Solitons (nlin.PS) #nlin.CD #nlin.PS #physics.optics
paper · pdf · doi:10.48550/arxiv.nlin/0409058
4 pages, 4 figures
arxiv created 2007/02/27 · arxiv updated 2009/12/01
The nonlocal order parameter equation for nonlinear optical resonator is approximated in the limit of high Fresnel number by the Swift- Hohenberg equation. The exact soliton and periodic solutions of the Swift- Hohenberg equation for optical resonator with thin slice gain element are obtained. It is shown that hyperbolic "flat" secant, "chirped" secant and Jacobi elliptic functions solutions in one transverse dimension are nonlinear eigenmodes for plane - parallel, confocal and quasiconfocal geometries.