Stable localized modes in asymmetric waveguides with gain and loss
E. N. TsoyPhysical-Technical Institute of the Uzbek Academy of Sciences, Bodomzor Yuli St., 2-B, Tashkent 100084, UzbekistanIzzatjon AllayarovPhysical-Technical Institute of the Uzbek Academy of Sciences, Bodomzor Yuli St., 2-B, Tashkent 100084, UzbekistanF. Kh. AbdullaevPhysical-Technical Institute of the Uzbek Academy of Sciences, Bodomzor Yuli St., 2-B, Tashkent 100084, Uzbekistan
ABI
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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