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

Abstract

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 expressions 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 effect 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.

Final version

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Cited by in corpus (5)

• Nonlinear waves in $\mathcal{P}\mathcal{T}$-symmetric systems
• On Symmetries and Exact Solutions of a Class of Non-local Non-linear Schrodinger Equations with Self-induced PT-symmetric Potential
• Analytical stable Gaussian soliton supported by a parity-time-symmetric potential with power-law nonlinearity
• Superpositions of bright and dark solitons supporting the creation of balanced gain and loss optical potentials
• Non-linear Schr$\ddot{o}$dinger equation with time-dependent balanced loss-gain and space-time modulated non-linear interaction