分析波动水下波导中模式耦合的传统方法是基于求解在马尔可夫近似中导出的模式振幅的二阶统计矩的耦合方程组[D. B.作者声明：J. Soc. Am. 99，2825- 2838（1996）]。在目前的工作中，另一种方法被认为是。它基于在高频近似中导出的模式耦合方程的解析解[A. L. Virovlyanskii和A.G. Kosterin，Sov.物理声学35，138-142（1987）]。这种将模式振幅表示为来自两个几何射线的贡献之和的解决方案便于统计平均。它允许一个很容易地推导出任何模式振幅的统计矩的解析表达式。通过比较其预测的深水声波导与全波数值模拟的结果进行了使用广角抛物方程的方法，这种方法的适用性证明。
英文摘要：
A traditional approach to the analysis of mode coupling in a fluctuating underwater waveguide is based on solving the system of coupled equations for the second statistical moments of mode amplitudes derived in the Markov approximation [D.B. Creamer, J.Acoust. Soc. Am. 99, 2825--2838 (1996)]. In the present work an alternative approach is considered. It is based on an analytic solution of the mode coupling equation derived in the high frequency approximation [A.L. Virovlyanskii and A.G. Kosterin, Sov. Phys. Acoust. 35, 138-142 (1987)]. This solution representing the mode amplitude as a sum of contributions from two geometrical rays is convenient for statistical averaging. It allows one to easily derive analytical expressions for any statistical moments of mode amplitudes. The applicability of this approach is demonstrated by comparing its predictions for a deep water acoustic waveguide with results of full wave numerical simulation carried out using the method of wide angle parabolic equation.
Research and experimental verification on low-frequency long-range underwater sound propagation dispersion characteristics under dual-channel sound speed profiles in the Chukchi Plateau
Institute of Oceanography, Ministry of Natural Resources（自然资源部海洋研究所）；Institute of Acoustics, Chinese Academy of Sciences（中国科学院声学研究所）
