Two-dimensional beams of dissipative antisolitons

By using a reduced model for dissipative optical soliton beams, we show that there are two disjoint sets of fixed points. These correspond to stationary solitons of the radial complex cubic-quintic Ginzburg - Landau equation with concave and convex phase profiles, respectively. We confirm these results by numerical simulations which reveal soliton solutions of two different types: continuously self-focussing and continuously self-defocusing.

[1]  Fibich Small beam nonparaxiality arrests self-focusing of optical beams. , 1996, Physical review letters.

[2]  N. N. Akhmediev,et al.  Does the Nonlinear Schroedinger Equation Correctly Describe Beam Propagation , 1993 .

[3]  A Ankiewicz,et al.  Does the nonlinear Schrödinger equation correctly describe beam propagation? , 1993, Optics letters.

[4]  N. Akhmediev,et al.  Dissipative Solitons in the Complex Ginzburg-Landau and Swift Hohenberg Equations , 2005 .

[5]  M. Ciofini,et al.  BIFURCATIONS OF HEXAGONAL PATTERNS STABILIZED AND SELECTED WITH SPATIAL PERTURBATIONS IN A WIDE-APERTURE LASER , 1998 .

[7]  N. Rosanov Solitons in laser systems with saturable absorption , 2005 .

[8]  J V Moloney,et al.  Derivation of semiconductor laser mean-field and Swift-Hohenberg equations. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  Luc Bergé,et al.  Wave collapse in physics: principles and applications to light and plasma waves , 1998 .

[10]  Graham Town,et al.  Pulsating Solitons, chaotic solitons, period doubling and pulse coexistence in mode-locked lasers: CGLE approach , 2001 .

[11]  A Ankiewicz,et al.  Pulsating, creeping, and erupting solitons in dissipative systems. , 2000, Physical review letters.

[12]  V. Zakharov Collapse of Langmuir Waves , 1972 .

[13]  Adrian Ankiewicz,et al.  Solitons : nonlinear pulses and beams , 1997 .

[14]  Sergey V. Fedorov,et al.  Topologically multicharged and multihumped rotating solitons in wide-aperture lasers with a saturable absorber , 2003 .

[15]  Nail Akhmediev,et al.  Exploding solitons and Shil'nikov's theorem , 2003 .