3 research outputs found
Stable localized modes in asymmetric waveguides with gain and loss
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.Comment: 10 pages, 4 figures. Accepted in Optics Letters, 201