Nonlinear dynamics of wave packets in parity-time-symmetric optical lattices near the phase transition point

2012/08/29 by Sean Nixon, Yi Zhu, Jianke Yang · 31 citations
Physics and Astronomy · #Cross-polarized wave generation #Dynamics (music) #Envelope (radar) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Nonlinear optics #Nonlinear system #Quantum Mechanics and Non-Hermitian Physics #Self-phase modulation #Wave equation #Wave packet #Wave propagation #nlin.PS #physics.optics

paper · pdf · doi:10.1364/ol.37.004874

published in Optics Letters 37(23), 4874 (Optica Publishing Group) · 4 pages, 2 figures

arxiv created 2012/08/29 · openalex publication_date 2012/11/22 · arxiv updated 2015/06/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Nonlinear dynamics of wave packets in parity-time-symmetric optical lattices near the phase-transition point is analytically studied. A nonlinear Klein-Gordon equation is derived for the envelope of these wave packets. A variety of phenomena known to exist in this envelope equation are shown to also exist in the full equation, including wave blowup, periodic bound states, and solitary wave solutions.

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• All-real spectra in optical systems with arbitrary gain-and-loss distributions
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