白噪声区随机介质中的耦合傍轴wave equations
Coupled paraxial wave equations in random media in the white-noise regime
摘要：
本文研究了三维随机介质在白噪声和傍轴条件下的反射和透射问题。极限系统由声波方程导出，并由布朗场驱动的随机薛定谔方程耦合系统描述，布朗场的协方差由随机介质波动的两点统计确定。对于反射场和透射场，相关的维格纳分布和自相关函数由输运方程的封闭系统确定。然后，维格纳分布被用来描述反射场的增强后向散射现象。
英文摘要：
In this paper the reflection and transmission of waves by a three-dimensional random medium are studied in a white-noise and paraxial regime. The limit system derives from the acoustic wave equations and is described by a coupled system of random Schrödinger equations driven by a Brownian field whose covariance is determined by the two-point statistics of the fluctuations of the random medium. For the reflected and transmitted fields the associated Wigner distributions and the autocorrelation functions are determined by a closed system of transport equations. The Wigner distribution is then used to describe the enhanced backscattering phenomenon for the reflected field.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
