Breather solitons in highly nonlocal media

Abstract

We investigate the breathing of optical spatial solitons in highly nonlocal media. Generalizing the Ehrenfest theorem, we demonstrate that oscillations in beam width obey a fourth-order ordinary differential equation. Moreover, in actual highly nonlocal materials, the original accessible soliton model by Snyder and Mitchell [Science \textbf{276}, 1538 (1997)] cannot accurately describe the dynamics of self-confined beams as the transverse size oscillations have a period which not only depends on power but also on the initial width. Modeling the nonlinear response by a Poisson equation driven by the beam intensity we verify the theoretical results against numerical simulations.

7 pages, 4 figures, resubmitted to Physical Review A

References in corpus (6)

• Stability of two-dimensional spatial solitons in nonlocal nonlinear media
• Observation of a gradient catastrophe generating solitons
• Three-dimensional spatiotemporal optical solitons in nonlocal nonlinear media
• Dispersive shock waves with nonlocal nonlinearity
• Complex dynamics and configurational entropy of spatial optical solitons in nonlocal media
• Nonlinear Gamow vectors, shock waves and irreversibility in optically nonlocal media

Cited by in corpus (6)

• Spatial solitons in thermo-optical media from the nonlinear Schrodinger-Poisson equation and dark matter analogues
• Nonlinear continuous-wave optical propagation in nematic liquid crystals: interplay between reorientational and thermal effects
• Optical Spatial Shock Waves in Nonlocal Nonlinear Media
• Self-bound droplets of light with orbital angular momentum
• Soliton dynamics in finite nonlocal media with cylindrical symmetry
• Shortcuts to adiabaticity for rapid soliton compression in nonlocal media