Modulation instability in nonlinear complex parity-time (PT) symmetric periodic structures

Abstract

We carry out a modulation instability (MI) analysis in nonlinear complex parity-time (PT) symmetric periodic structures. All the three regimes defined by the PT-symmetry breaking point or threshold, namely, below threshold, at threshold and above threshold are discussed. It is found that MI exists even beyond the PT-symmetry threshold indicating the possible existence of solitons or solitary waves, in conformity with some recent reports. We find that MI does not exist at the PT-symmetry breaking point in the case of normal dispersion below a certain nonlinear threshold. However, in the case of anomalous dispersion regime, MI does exist even at the PT-symmetry breaking point.

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Cited by in corpus (11)

• Nonlinear waves in $\mathcal{P}\mathcal{T}$-symmetric systems
• Multifaceted dynamics and gap solitons in $\mathcal{P}\mathcal{T}$-symmetric periodic structures
• Nonlinear nonuniform $\mathcal{P}\mathcal{T}$-symmetric Bragg grating structures
• Low-power optical bistability in $\mathcal{P}\mathcal{T}$-symmetric chirped Bragg gratings with four-wave mixing
• Phase shifted $\mathcal{P}\mathcal{T}$-symmetric periodic structures
• Nonlinear Parity-Time (PT) symmetric closed-form optical quadrimer waveguides: Attractor perspective
• Modulational instability in $\mathcal{P}\mathcal{T}$-symmetric Bragg grating structures with saturable nonlinearity
• Highly Amplified Light Transmission in Parity-Time Symmetric Multilayered Structure
• Unique multistable states in periodic structures with saturable nonlinearity
• $N$-channel comb filtering and lasing in $\mathcal{P}\mathcal{T}$-symmetric superstructures
• Three-level Λ-type atomic systems with a Pseudo-Hermitian PT-symmetric Hamiltonian