Chaos and optical bistability: Bifurcation structure
Abstract
The phase of the output light from a bistable optical cavity containing a nonlinear dielectric mediumobeysa differential equation with time delay. With the increase of the intensity of the incident light, a delay, the solution exhibits transition from a stationary state to periodic and chaotic states. In the course of this transition, there appear successive bifurcations, which form a hierarchy of coexisting periodic solutions: as the intensity of the incident light is increased, the stationary solution becomes unstable at the first bifurcation point and breaks into a number of periodic ones. These periodic solutions form a set of higher harmonics which coexist with each other. With further increase, each solution further bifurcates into a new set of coexisting periodic solutions. In the chaotic regime, the coexisting periodic states coalesce successively into fewer sets and are reduced to a single chaotic state which totally complicated time evolution.
- Publication:
-
In Opt. Soc. Am. Topical Meeting on Opt. Bistability 2p (SEE N84-24381 14-76
- Pub Date:
- January 1984
- Bibcode:
- 1984osa..meet.....I
- Keywords:
-
- Branching (Mathematics);
- Cavities;
- Chaos;
- Differential Equations;
- Optical Bistability;
- Dielectrics;
- Incident Radiation;
- Luminous Intensity;
- Nonlinearity;
- Numerical Analysis;
- Phase Transformations;
- Optics