一种基于改进吸收窗的抛物方程电波传播模型

      An improved absorbing window-based parabolic equation model for electromagnetic wave propagation

      • 摘要: 针对抛物方程电波传播模型在远距离计算场景中域截断边界非物理反射的抑制问题,提出了一种基于角谱调控的自适应吸收窗改进方法。首先从角谱域分析标准吸收窗在处理远距离传播计算中角谱能量泄露现象,进而提出基于幂运算的角谱泄露修正模型。通过动态参数优化策略,分析各迭代步进中角谱标准差,建立吸收窗参数与角谱特征的动态匹配机制,实现吸收窗参数自适应调整,以控制其角谱泄露。通过与标准吸收窗的仿真实验对比,验证了所提出的改进吸收窗在多种场景下的有效性与优越性。将所提方法应用于三维大气波导环境下电波传播问题的求解,结果表明,对比扩大计算域方法,本文所提出的改进吸收窗能有效提升计算精度,为提升抛物方程求解大区域问题的计算效率提供了一种新的途径。

         

        Abstract: To address the issue of non-physical reflections at truncated domain boundaries in long-distance computational scenarios for the parabolic equation wave propagation model, this paper proposes an improved adaptive absorbing window method based on angular spectrum regulation. First, the angular spectrum domain is analyzed to examine the spectral energy leakage phenomenon of the standard absorbing window in long-distance propagation calculations. Subsequently, an angular spectrum leakage correction model based on exponentiation is proposed. By employing a dynamic parameter optimization strategy, the standard deviation of the angular spectrum at each iterative step is analyzed to establish a dynamic matching mechanism between the absorbing window parameters and angular spectrum characteristics, enabling adaptive parameter adjustment to control spectral leakage. Comparative simulations with the standard absorbing window validate the effectiveness and superiority of the proposed improved absorbing window across various scenarios. Finally, the method is applied to solve the problem of electromagnetic wave propagation in a three-dimensional atmospheric duct environment. Simulation results indicate that, compared to the domain expansion method, the proposed improved absorbing window significantly enhances computational accuracy, providing a novel approach to improving computational efficiency in large-area parabolic equation solutions.

         

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