Spatial solitons supported by localized gain in nonlinear optical waveguides

C. K. Lam, B. A. Malomed, K. W. Chow, Ping Kong Alexander Wai

Research output: Journal article publicationJournal articleAcademic researchpeer-review

65 Citations (Scopus)


We introduce a modification of the complex Ginzburg-Landau (CGL) equation with background linear loss and locally applied gain. The equation appertains to laser cavities based on planar waveguides, and also to the description of thermal convection in binary fluids. With the gain localization accounted for by the delta-function, a solution for pinned solitons is found in an analytical form, with one relation imposed on parameters of the model. The exponentially localized solution becomes weakly localized in the limit case of vanishing background loss. Numerical solutions, with the delta-function replaced by a finite-width approximation, demonstrate stability of the pinned solitons and their existence in the general case, when the analytical solution is not available. If the gain-localization region and the size of the soliton are comparable, the static soliton is replaced by a stable breather.
Original languageEnglish
Pages (from-to)233-243
Number of pages11
JournalEuropean Physical Journal: Special Topics
Issue number1
Publication statusPublished - 28 Jul 2009

ASJC Scopus subject areas

  • Materials Science(all)
  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry


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