2D optical rogue waves in self-focusing Kerr-type media with spatially modulated coefficients Academic Article

abstract

• 2015 Astro Ltd. A similarity transformation is introduced to reduce the generalized two-dimensional (2D) nonlinear Schrdinger (NLS) equation with modulated spatial coefficients and a special external potential to the standard NLS equation with constant coefficients. The 2D rogue wave solutions are constructed with the help of Whittaker functions in polar coordinates. We present some typical examples of the obtained solutions by selecting the two free parameters: the azimuthal number (the topological charge) and the radial node. With the help of two free parameters, the unique properties of solutions are discussed. Furthermore, we find that the rogue waves display different intensity patterns, such as the circular-pyramid, annular-ring and vortex-ring patterns.

authors

• Belic, Milivoj

published proceedings

• LASER PHYSICS

author list (cited authors)

• Yang, Z. P., Zhong, W., & Belic, M.

citation count

• 12

complete list of authors

• Yang, Zheng Ping||Zhong, Wei-Ping||Belic, Milivoj

publication date

• August 2015

publisher

• IOP Publishing  Publisher

published in

• Laser Physics: international journal  Journal

keywords

• Nonlinear Optics
• Nonlinear Schrodinger Equation
• Optical Rogue Waves

Digital Object Identifier (DOI)

• 10.1088/1054-660X/25/8/085402

start page

• 085402

end page

• 085402

volume

• 25

issue

• 8

URL

• http://dx.doi.org/10.1088/1054-660x/25/8/085402