Annularly and radially phase-modulated spatiotemporal necklace-ring patterns in the Ginzburg-Landau and Swift-Hohenberg equations.
Annularly and radially phase-modulated spatiotemporal necklace-shaped patterns (SNPs) in the complex Ginzburg-Landau (CGL) and complex Swift-Hohenberg (CSH) equations are theoretically studied. It is shown that the annularly phase-modulated SNPs, with a small initial radius of the necklace and modulation parameters, can evolve into stable fundamental or vortex solitons. To the radially phase-modulated SNPs, the modulated "beads" on the necklace rapidly vanish under strong dissipation in transmission, which may have potential application for optical switching in signal processing. A prediction that the SNPs with large initial radii keep necklace-ring shapes upon propagation is demonstrated by use of balance equations for energy and momentum. Differences between both models for the evolution of solitons are revealed.
Liu
Bin
B
State Key Laboratory of Optoelectronic Materials and Technologies, Zhongshan (Sun Yat-Sen) University, Guangzhou 510275, China.
He
Ying-Ji
YJ
Qiu
Zhi-Ren
ZR
Wang
He-Zhou
HZ
D003198:Computer Simulation; D004058:Diffusion; D008027:Light; D008962:Models, Theoretical; D055095:Optics and Photonics; D010363:Pattern Recognition, Automated; D010825:Physics / Q000379:methods; D012984:Software; D013997:Time Factors