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 N8424381 1476
 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