Forward and Markov approximation: the strong-intensity-fluctuations regime revisited
Forward and Markov approximation: the strong-intensity-fluctuations regime revisited
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前向和马尔可夫近似：重新审视强强度波动机制
DOI：
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
Y. Samuelides
中科院分区：
文献类型：
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作者：
J. Fouque;G. Papanicolaou;Y. Samuelides
弱起伏随机介质中高频波传播的正演和马尔可夫近似是随机薛定谔方程的解。在这种情况下，强强度波动制度对应于长的传播距离。人们已经通过几种不同的方法研究了这种机制，例如力矩方程的展开和路径积分表示。这是一个公认的事实，在这种制度下，场成为高斯和完全去相关，这意味着，特别是，强度有一个指数概率分布。本文的目的是通过分析驻矩方程来证明这一点。自然的假设下，渐近空间去相关的字段，我们构造边界条件，然后可以明确解决这些固定方程。我们注意到，极限概率分布不依赖于光谱内容的制度饱和的英寸…
Abstract The forward and Markov approximation for high-frequency waves propagating in weakly fluctuating random media is the solution of a stochastic Schrodinger equation. In this context, the strong-intensity-fluctuations regime corresponds to long propagation distances. This regime has been studied by several different methods, such as expansion of the moment equations and path-integral representations. It is an accepted fact that, in this regime, the field becomes Gaussian and completely decorrelated which implies, in particular, that the intensity has an exponential probability distribution. The aim of this paper is to give additional evidence for this by analysing the stationary moment equations. Under the natural hypothesis of asymptotic spatial decorrelation of the field, we construct boundary conditions for these stationary equations which can then be solved explicitly. We note that the limiting probability distribution does not depend on the spectral contents in the regime of saturation of the in...