2014/08/05 by Eduard N. Tsoy, Izzat M. Allayarov, Fatkhulla Kh. Abdullaev · 1 citation
Physics and Astronomy · #nlin.PS #physics.optics
paper · pdf · doi:10.1364/ol.39.004215
10 pages, 4 figures. Accepted in Optics Letters, 2014
arxiv created 2014/08/05 · arxiv updated 2015/06/22
It is shown that asymmetric waveguides with gain and loss can support a stable propagation of optical beams. This means that the propagation constants of modes of the corresponding complex optical potential are real. A class of such waveguides is found from a relation between two spectral problems. A particular example of an asymmetric waveguide, described by the hyperbolic functions, is analyzed. The existence and stability of linear modes and of continuous families of nonlinear modes are demonstrated.