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Propagation of optical vortex beams and nucleation of vortex-antivortex pairs in disordered nonlinear photonic lattices

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Abstract

The propagation of optical vortex beams through disordered nonlinear photonic lattices is numerically studied. The vortex beams are generated by using a superposition of several Gaussian laser beams arranged in a radially-symmetric manner. The paraxial nonlinear Schrödinger equation describing the longitudinal propagation of the beam array through nonlinear triangular photonic lattices with two-dimensional disorder is solved numerically by using the split-step Fourier method. We find that due to the spatial disorder, the vortex beam is destabilized after propagating a finite distance and new vortex-antivortex pairs are nucleated at the positions of perfect destructive interference. We also find that in the presence of a self-focusing nonlinearity, the vortex-antivortex pair nucleation is suppressed and the vortex beam becomes more stable, while a self-defocusing nonlinearity enhances the vortex-antivortex pair nucleation.

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Authors and Affiliations

  1. Device Modeling & Reliability Team, SK Hynix, Icheon, 467-701, Korea

    Yeong-Kwon Cho

  2. Department of Energy Systems Research and Department of Physics, Ajou University, Suwon, 443-749, Korea

    Kihong Kim

Authors
  1. Yeong-Kwon Cho
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  2. Kihong Kim
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Correspondence to Kihong Kim.

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Cho, YK., Kim, K. Propagation of optical vortex beams and nucleation of vortex-antivortex pairs in disordered nonlinear photonic lattices. Journal of the Korean Physical Society 65, 2040–2044 (2014). https://doi.org/10.3938/jkps.65.2040

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  • DOI: https://doi.org/10.3938/jkps.65.2040

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