内外噪声驱动下随机系统的关联函数和弛豫时间

The Correlation Functions and Relaxation Time for a System Simultaneously Driven by Internal and External Noise

本文采用Stratonovich退耦合假设,求出了在内外噪声同时驱动下随机系统的关联函数和弛豫时间.应用到激光系统,得到了内外噪声同时存在时染料激光光强的关联函数和弛豫时间的表达式,为研究染料激光的统计性质提供了有益启示.

The statistical properties of the dye laser are studied using the recently proposed colored gain-noise model. By means of the Stratonovich decoupling hypothesis, the correlation functions and relaxation time for a stochastic sysyem simultaneously driven by internal and external noise are derived. The general formulae are used to study the statistical properties of the dye laser. The light intensity correlation function and relaxation time for the dye laser model simultaneously driven by the colored pump noise and white quantum noise have been calculated.