An exact soluble equation for the steady state probability distribution in a nonlinear system: application to the noise reduction in Raman Ring Laser

• Published in: Optical and quantum electronics Vol. 43; no. 11-15; pp. 137 - 145
• Main Authors: Cao Long, Van, Doan Quoc, Khoa
• Format: Journal Article
• Language: English
• Published: Boston Springer US 01.04.2012
• Subjects: Characterization and Evaluation of Materials; Computer Communication Networks; Dynamical systems; Electrical Engineering; Lasers; Mathematical analysis; Mathematical models; Noise reduction; Nonlinear dynamics; Optical Devices; Optics; Photonics; Physics; Physics and Astronomy; Pumps; Ring lasers; Steady state; Noise reduction; Raman Ring-laser; Exact soluble stochastic equations

In this paper, we consider the model of a nonlinear system subjected simultaneously to a random telegraph noise and a white noise. By using the formulae of differentiation introduced by Shapiro and Loginov (Physica 91:563–574, 1978 ), an exact equation for the steady state probability distribution o...