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arXiv · 1408.0913

Stable localized modes in asymmetric waveguides with gain and loss

Eduard N. Tsoy·Izzat M. Allayarov·Fatkhulla Kh. Abdullaev
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Abstract

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.

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Eduard N. Tsoy, Izzat M. Allayarov, Fatkhulla Kh. Abdullaev. 2014-08-05. Stable localized modes in asymmetric waveguides with gain and loss. https://doi.org/10.1364/ol.39.004215

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