Stability of the higher-bound states in a saturable self-focusing medium
Abstract
We present an investigation of the stability of the cylindrically symmetric higher-bound states that can be formed in a self-focusing medium with saturation. The higher-bound states are found to display transverse instabilities that break the azimuthal symmetry of the system. An approximate analytic theory is presented that correctly describes the qualitative variations of the numerically calculated instability growth rates.
- Publication:
-
Physical Review A
- Pub Date:
- July 1991
- DOI:
- 10.1103/PhysRevA.44.636
- Bibcode:
- 1991PhRvA..44..636S
- Keywords:
-
- 42.65.Jx;
- 52.35.Mw;
- 03.40.Kf;
- 03.65.Ge;
- Beam trapping self-focusing and defocusing;
- self-phase modulation;
- Nonlinear phenomena: waves wave propagation and other interactions;
- Solutions of wave equations: bound states