Light propagation in periodically modulated complex waveguides

Abstract

Light propagation in optical waveguides with periodically modulated index of refraction and alternating gain and loss are investigated for linear and nonlinear systems. Based on a multiscale perturbation analysis, it is shown that for many non-parity-time ($\mathcal{P}\mathcal{T}$) symmetric waveguides, their linear spectrum is partially complex, thus light exponentially grows or decays upon propagation, and this growth or delay is not altered by nonlinearity. However, several classes of non-$\mathcal{P}\mathcal{T}$-symmetric waveguides are also identified to possess all-real linear spectrum. In the nonlinear regime longitudinally periodic and transversely quasi-localized modes are found for $\mathcal{P}\mathcal{T}$-symmetric waveguides both above and below phase transition. These nonlinear modes are stable under evolution and can develop from initially weak initial conditions.

6 pages, 4 figures

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Cited by in corpus (6)

• Nonlinear switching and solitons in PT-symmetric photonic systems
• $\mathcal{P}\mathcal{T}$ phase control in circular multicore fibers
• PT-symmetry in nonlinear twisted multi-core fibers
• Generation and controlling of ultrashort self-similar solitons and rogue waves in inhomogeneous optical waveguide
• Control of Power in Parity-Time -Symmetric Lattices
• Controlled self-similar matter waves in PT-symmetric waveguide