Abbreviated Journal Title
Phys. Rev. A
SEMICONDUCTOR-LASER ARRAYS; WAVE-GUIDE ARRAYS; EQUATION; LATTICES; STABILITY; SYSTEMS; MODES; Optics; Physics, Atomic, Molecular & Chemical
We study the two-dimensional discrete Ginzburg-Landau equation. In the linear limit, the dispersion and gain curves as well as the diffraction pattern are determined analytically. In the nonlinear case, families of two-dimensional discrete solitons are found numerically as well as approximately in the high-confinement limit. The instability dynamics are analyzed by direct simulations.
Physical Review A
Efremidis, Nikolaos K.; Christodoulides, Demetrios N.; and Hizanidis, Kyriakos, "Two-dimensional discrete Ginzburg-Landau solitons" (2007). Faculty Bibliography 2000s. 7094.