Open AccessDissipative solitons supported by transversal single- or three-channel amplifying chirped lattices
Author(s) -
Changming Huang,
Chunyan Li,
Liangwei Dong
Publication year - 2020
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.396948
Subject(s) - dissipative system , physics , instability , lattice (music) , chirp , nonlinear system , optics , transversal (combinatorics) , quantum mechanics , laser , mathematical analysis , mathematics , acoustics
We study the properties of dissipative solitons supported by a chirped lattice in a focusing Kerr medium with nonlinear loss and a transversal linear gain landscape consisting of single or three amplifying channels. The existence and stability of two types of dissipative solitons, including fundamental and three-peaked twisted solitons, have been explored. Stable fundamental solitons can only be found in a single-channel gain chirped lattice, and stable three-peaked twisted solitons can only be obtained in a three-channel gain chirped lattice. The instability of two types of dissipative solitons can be suppressed at a high chirp rate. Also, robust fundamental and three-peaked twisted nonlinear states can be obtained by excitation of Gaussian beams of arbitrary width in corresponding characteristic structures.