Mighty morphing spatial solitons and bullets

Optics Letters
A W Snyder, J D Mitchell

Abstract

We give what we believe to be the first closed-form exact expression for the dynamic evolution of nonstationary beams of arbitrary intensity and width propagating in a uniform nonlinear medium and in both two and three dimensions. This shows that periodic and quasi-periodic (nonradiating) beams can exist in a non-Kerr nonlinear medium. The Schrödinger equation is solved for Gaussian beams in a saturable medium. For one critical (initial) beam width, the Gaussian is a stable stationary soliton or bullet, independent of its intensity; otherwise, it breathes. New quasi-periodic beams (mighty morphing solitons) and bullets (mighty morphs) of elliptical cross section also exist whose ellipticity changes with propagation.

References

Jun 1, 1995·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·A W SnyderD J Mitchell
Feb 17, 1992·Physical Review Letters·M SegevB Fischer
Nov 15, 1990·Optics Letters·Y Silberberg
Jan 1, 1991·Optics Letters·A W SnyderF Ladouceur

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Citations

Dec 18, 2007·Optics Letters·A W SnyderD J Mitchell
Jul 15, 1997·Optics Letters·D N ChristodoulidesR I Joseph
Jan 12, 2008·Optics Letters·V V AfanasjevY S Kivshar
Apr 20, 2004·Physical Review Letters·Claudio ContiGaetano Assanto
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·N AkhmedievR Grimshaw
Apr 7, 2010·Physical Review Letters·Anton S DesyatnikovYuri S Kivshar
Oct 4, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H BuljanD N Christodoulides
Jun 24, 2004·Optics Letters·Omer KatzDemetrios N Christodoulides
Dec 18, 2007·Optics Letters·V Tikhonenko
Apr 20, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sergey A Ponomarenko, Govind P Agrawal
Nov 5, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Wiesław KrólikowskiJohn Wyller
Oct 3, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S A Ponomarenko

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