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为了考虑海底地形随距离变化的非水平分层介质中割线积分对声场的贡献,提出了复等效深度耦合简正波模型。该耦合简正波模型由介质运动方程和连续性方程推导得到了耦合微分方程组,此方程组满足海底地形随距离变化情况下的边界条件且仅包含一个耦合矩阵,并通过引入复等效深度理论处理连续谱和离散谱之间的相互耦合。仿真计算表明,复等效深度耦合简正波模型提高了波导简正波本征值位于割线枝点附近情况下声传播损失的计算精度,充分考虑了波导简正波、非波导简正波和割线积分对声场的贡献,可快速而准确地计算非水平分层介质中的声场。
In order to consider the contribution of the secant integral to the sound field in the non-horizontal stratified medium with submarine topography changing with distance, a complex equivalent depth coupled simplified normal model is proposed. The coupled simple-normal wave model derives the coupling differential equations from the equations of motion and continuity of the medium. The equations satisfy the boundary conditions of the submarine topography with distance variation and contain only one coupling matrix. By introducing the complex equivalent depth theory Coupling between continuous and discrete spectra. The simulation results show that the complex equivalent-depth-coupled normal-wave model improves the calculation accuracy of the acoustic propagation loss when the waveguide normal-wave eigenvalue is located near the secant branch point. The contributions of simple normal waveguides, non-waveguide normal wave and secant integral to the sound field are fully considered , You can quickly and accurately calculate the acoustic field in non-horizontal layered media.