Resonant mode conversion in the waveguides with an unbroken and broken PT-symmetry

Abstract

We study resonant mode conversion in the PT-symmetric multimode waveguides, where symmetry breaking manifests itself in sequential destabilization (appearance of the complex eigenvalues) of the pairs of adjacent guided modes. We show that the efficient mode conversion is possible even in the presence of the resonant longitudinal modulation of the complex refractive index. The distinguishing feature of the resonant mode conversion in the PT-symmetric structure is a drastic growth of the width of the resonance curve when the gain/losses coefficient approaches a critical value, at which symmetry breaking occurs. We found that in the system with broken symmetry the resonant coupling between exponentially growing mode with stable higher-order one effectively stabilizes dynamically coupled pair of modes and remarkably diminishes the average rate of the total power growth.

4 pages, 6 figures

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Cited by in corpus (9)

• Nonlinear waves in $\mathcal{P}\mathcal{T}$-symmetric systems
• Diffraction control in PT-symmetric photonic lattices: from beam rectification to dynamic localization
• $\mathcal{P}\mathcal{T}$ phase control in circular multicore fibers
• PT-symmetry in nonlinear twisted multi-core fibers
• Towards nanoscale multiplexing with parity-time symmetric plasmonic coaxial waveguides
• Rabi oscillation of azimuthons in weakly nonlinear waveguides
• Control of Power in Parity-Time -Symmetric Lattices
• Hidden Gauge Symmetry in Holomorphic Models
• Efficient mode conversion in guiding structures with longitudinal modulation of nonlinearity