Origin of the persistent oscillations of solitary waves in nonlinear quadratic media
- 1 October 1996
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 54 (4) , 4321-4324
- https://doi.org/10.1103/physreve.54.4321
Abstract
We reveal the origin of the persistent oscillations of solitary waves in a quadratically nonlinear medium. It is found that the oscillations are closely correlated to a nontrivial discrete eigenmode of the corresponding linear eigenvalue problem. In addition to this discrete eigenmode a quasibound mode, weakly coupled to the continuous spectrum, is identified. This gives rise to a long-living beating of the solitary wave amplitude. © 1996 The American Physical Society.Keywords
This publication has 14 references indexed in Scilit:
- Collision of solitary waves in media with a second-order nonlinearityPhysical Review A, 1995
- Instability of Solitons Governed by Quadratic NonlinearitiesPhysical Review Letters, 1995
- Self-guided beams in a diffractive χ(2) medium: variational approachOptics Communications, 1995
- Bright solitons with second-order nonlinearitiesJournal of the Optical Society of America B, 1995
- Solitons due to second harmonic generationPhysics Letters A, 1995
- Spatial optical solitons governed by quadratic nonlinearityOptics Letters, 1994
- Excitation of solitons with cascaded χ^(2) nonlinearitiesOptics Letters, 1994
- Simulton solutions for the parametric amplifierJournal of the Optical Society of America B, 1993
- Multidimensional solitons in quadratic nonlinear mediaPhysical Review Letters, 1993
- Nonlinear refraction caused by cascaded second-order nonlinearity in optical waveguide structuresJournal of the Optical Society of America B, 1993