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...

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Bibliographic Details
Main Authors: Tsoy, Eduard N., Allayarov, Izzat M., Abdullaev, Fatkhulla
Format: Article
Language:English
Published: Optical Society of America 2014
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Online Access:http://irep.iium.edu.my/37770/1/ol-39-14-4215.pdf
http://irep.iium.edu.my/37770/
http://dx.doi.org/10.1364/OL.39.004215
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Summary: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.