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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Alan E. Willner
  • Vol. 35, Iss. 12 — Jun. 15, 2010
  • pp: 1974–1976

Continuous generation of soliton patterns in two-dimensional dissipative media by razor, dagger, and needle potentials

Bin Liu, Ying-Ji He, Boris A. Malomed, Xiao-Sheng Wang, Panayotis G. Kevrekidis, Tong-Biao Wang, Feng-Chun Leng, Zhi-Ren Qiu, and He-Zhou Wang  »View Author Affiliations


Optics Letters, Vol. 35, Issue 12, pp. 1974-1976 (2010)
http://dx.doi.org/10.1364/OL.35.001974


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Abstract

We report dynamic regimes supported by a sharp quasi-one-dimensional (1D) (“razor”), pyramid-shaped (“dagger”), and conical (“needle”) potentials in the 2D complex Ginzburg–Landau (CGL) equation with cubic-quintic non linearity. This is a model of an active optical medium with respective expanding antiwaveguiding structures. If the potentials are strong enough, they give rise to continuous generation of expanding soliton patterns by a 2D soliton initially placed at the center. In the case of the pyramidal potential with M edges, the generated patterns are sets of M jets for M 5 , or expanding polygonal chains of solitons for M 6 . In the conical geometry, these are concentric waves expanding in the radial direction.

© 2010 Optical Society of America

OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons

ToC Category:
Nonlinear Optics

History
Original Manuscript: March 25, 2010
Manuscript Accepted: April 22, 2010
Published: June 4, 2010

Citation
Bin Liu, Ying-Ji He, Boris A. Malomed, Xiao-Sheng Wang, Panayotis G. Kevrekidis, Tong-Biao Wang, Feng-Chun Leng, Zhi-Ren Qiu, and He-Zhou Wang, "Continuous generation of soliton patterns in two-dimensional dissipative media by razor, dagger, and needle potentials," Opt. Lett. 35, 1974-1976 (2010)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-35-12-1974


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