摘要The relaxation time T of an optical bistable system with cross–correlated color noises and small time delay is investigated. Using the Novikov theorem and Fox approach, the steady probability distribution is obtained. The expression of T is derived using the Stratonovich decoupling ansatz formalism. It is found that the relaxation time T increases with the increasing cross–correlation time τ0 between the two noises or the self–correlation time τ1 of the multiplicative noise, but decreases with the increasing self–correlation time τ2 of the additive noise. T decreases with the increasing correlation intensity λ or the multiplicative noise intensity Q, but increases with the increasing additive noise intensity D. There exists a peak in the curve of T versus delay time τ.
Abstract：The relaxation time T of an optical bistable system with cross–correlated color noises and small time delay is investigated. Using the Novikov theorem and Fox approach, the steady probability distribution is obtained. The expression of T is derived using the Stratonovich decoupling ansatz formalism. It is found that the relaxation time T increases with the increasing cross–correlation time τ0 between the two noises or the self–correlation time τ1 of the multiplicative noise, but decreases with the increasing self–correlation time τ2 of the additive noise. T decreases with the increasing correlation intensity λ or the multiplicative noise intensity Q, but increases with the increasing additive noise intensity D. There exists a peak in the curve of T versus delay time τ.
(Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics)
引用本文:
WANG Bing**;WU Xiu-Qing;CHENG Dong-Chao
. Relaxation Time for an Optical Bistable System Subjected to Color Noises[J]. 中国物理快报, 2011, 28(1): 14202-014202.
WANG Bing**, WU Xiu-Qing, CHENG Dong-Chao
. Relaxation Time for an Optical Bistable System Subjected to Color Noises. Chin. Phys. Lett., 2011, 28(1): 14202-014202.
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