Nonlinear localized modes in PTPT-symmetric optical media with competing gain and loss

The existence and stability of the nonlinear spatial localized modes are investigated in parity-time symmetric optical media characterized by a generic complex hyperbolic refractive index distribution with competing gain and loss profile. The exact analytical expression of the localized modes are fo...

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Bibliographic Details
Published inAnnals of physics Vol. 341; pp. 12 - 20
Main Authors Midya, Bikashkali, Roychoudhury, Rajkumar
Format Journal Article
LanguageEnglish
Published 01.02.2014
Subjects
Density
Direct numerical simulation
Exact solutions
Gain
Mathematical analysis
Media
Nonlinearity
Stability
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Summary:The existence and stability of the nonlinear spatial localized modes are investigated in parity-time symmetric optical media characterized by a generic complex hyperbolic refractive index distribution with competing gain and loss profile. The exact analytical expression of the localized modes are found for all values of the competing parameter and in the presence of both the self-focusing and self-defocusing Kerr nonlinearity. The effects of competing gain/loss profile on the stability structure of these localized modes are discussed with the help of linear stability analysis followed by the direct numerical simulation of the governing equation. The spatial localized modes in two-dimensional geometry as well as the transverse power-flow density associated with these localized modes are also examined.
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ISSN:0003-4916
DOI:10.1016/j.aop.2013.11.011