弱失配随机介质中的波场相关
Wave field correlations in weakly mismatched random media
摘要：
本文推导了在两种不同随机介质中传播的两个高频波场的相关性的福克-普朗克方程。随机介质之间的失配需要在波长的量级上是小的，并且它们的相关长度相对于波长需要是大的。对随机介质中失配引起的相关性损失进行了量化，得到了相位差的极限过程。推导是基于随机刘维尔方程模型的高频相关性和特征的方法来表征混合的随机刘维尔方程。这种相关损失的应用包括随机介质的时间监测和变化非均匀域中的时间反演波的分析。
英文摘要：
This paper concerns the derivation of a Fokker-Planck equation for the correlation of two high frequency wave fields propagating in two different random media. The mismatch between the random media need be small, on the order of the wavelength, and their correlation length need be large relative to the wavelength. The loss of correlation caused by the mismatch in the random media is quantified and the limit process for the phase difference is obtained. The derivation is based on a random Liouville equation to model high frequency correlations and on the method of characteristics to characterize mixing in the random Liouville equation. Applications of such correlation loss include the monitoring in time of random media and the analysis of time reversed waves in changing heterogeneous domains.
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