Solitary waves in Parity-time (PT) symmetric Bragg-grating structure and the existence of Optical Rogue Waves

Abstract

In this work, we have studied the traveling wave solution in a nonlinear Bragg grating structure in which the core of the optical fiber is having Parity-time (PT) symmetric refractive index distribution. We have found bright solitary wave solution below the PT-threshold for forward wave and dark solitary wave solution above the PT-threshold for backward wave. The effects of increasing the traveling wave speed on the spatio-temporal evolutions of the analytical solutions have been shown and the emergence of the Optical Rogue Waves (ORWs) has been explored based on the system parameters.

References in corpus (2)

• Making Sense of Non-Hermitian Hamiltonians
• Bragg solitons in nonlinear PT-symmetric periodic potentials

Cited by in corpus (6)

• Nonlinear waves in $\mathcal{P}\mathcal{T}$-symmetric systems
• Parity-Time Symmetry in Non-Hermitian Complex Optical Media
• Modulation instability in nonlinear complex parity-time (PT) symmetric periodic structures
• Peregrine Rogue Wave dynamics in the continuous nonlinear Schrödinger system with parity-time symmetric Kerr nonlinearity
• Peregrine rogue waves in the nonlocal nonlinear Schrödinger equation with parity-time symmetric self-induced potential
• Nonlinear Parity-Time (PT) symmetric closed-form optical quadrimer waveguides: Attractor perspective