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Controllable parabolic-cylinder optical rogue wave.

Wei-Ping Zhong1, Lang Chen2, Milivoj Belić3

  • 1Department of Physics, South University of Science and Technology, Shenzhen 518055, China and Department of Electronic and Information Engineering, Shunde Polytechnic, Guangdong Province, Shunde 528300, China and Texas A&M University at Qatar, P.O. Box 23874, Doha, Qatar.

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We demonstrate controllable optical rogue waves in inhomogeneous media. These waves, described by parabolic-cylinder functions, offer new possibilities for nonlinear optics.

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Area of Science:

  • Nonlinear Optics
  • Mathematical Physics

Background:

  • Nonlinear phenomena in optical systems are crucial for advanced technologies.
  • Understanding and controlling optical rogue waves (ORWs) is an active research area.

Purpose of the Study:

  • To demonstrate controllable parabolic-cylinder optical rogue waves.
  • To derive analytical solutions for ORWs in specific inhomogeneous media.
  • To confirm the stability and characteristics of these novel ORWs.

Main Methods:

  • Analytical solution using similarity transformation for the generalized nonlinear Schrödinger equation.
  • Incorporation of spatially modulated coefficients and a quadratic potential.
  • Numerical simulations to validate analytical findings and assess stability.

Main Results:

  • An analytical rogue wave solution was obtained for the generalized nonlinear Schrödinger equation.
  • The derived solutions are products of parabolic-cylinder functions and standard rogue wave solutions.
  • Numerical simulations confirmed the stability and accuracy of the analytical solutions.
  • Observed rogue waves exhibit hump and paw profiles.

Conclusions:

  • Controllable parabolic-cylinder optical rogue waves can be generated in specific inhomogeneous media.
  • The analytical and numerical findings provide a foundation for manipulating rogue wave phenomena.
  • These findings have potential implications for optical communications and laser physics.