Accession Number:

ADA207132

Title:

Chaotic and Bifurcating Nonlinear Systems Driven by Noise with Applications to Laser Dynamics

Descriptive Note:

Annual rept. 1 Dec 1987-31 Oct 1988

Corporate Author:

MISSOURI UNIV-ST LOUIS DEPT OF PHYSICS

Personal Author(s):

Report Date:

1988-12-30

Pagination or Media Count:

85.0

Abstract:

The objective of this grant is to pursue research in the field of noise driven nonlinear laser dynamical systems by means of both analog and digital simulations. The first, is an electronic circuit modelling of the effects of purely multiplicative noise on the correlated spontaneous emission laser. The second, is a modelling of the general problem of stochastic resonance, and a study of the effects of the modulation and noise as they relate to the recently observed phenomenon in a dye ring laser. Four projects have been completed The first is a generalization of mean-first-passage time calculations to problems involving spatio-temporal noise. Specifically considered is a Brownian particle moving in a random spatial potential driven by temporal noise. Second, an experiment and a contemporary theory completed on generalized switching processes in the presence of colored noise. Third, a discovery was made using analog techniques with strongly colored noise a noise correlation time induced change in the topology of the two dimensional probability density of multistable systems. Fourth, an interesting example problem was given on state dependent diffusion posed by Landauer and Van Kampen.

Subject Categories:

  • Lasers and Masers
  • Electricity and Magnetism

Distribution Statement:

APPROVED FOR PUBLIC RELEASE