This paper provides the mode-matching scheme to analyze the reflection and transmission of acoustic waves in a trifurcated waveguide with multiple bounding properties. The physical problem involves geometric discontinuities at interface wherein the pressure and velocity modes are matched by using continuity conditions at aperture. The use of orthogonal and/or non-orthogonal characteristics in respective duct regions enable to recast the differential system into linear algebraic system that can be solved through inversion. It is seen that the variation of symmetric discontinuities and the change of material properties greatly affect the scattering radiation. The solution is validated altogether through the opposite analytic and numerical experiments.

中文翻译：

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非平面三叉波导的散射特性

本文提供了模式匹配方案来分析具有多边界特性的三叉波导中声波的反射和传输。物理问题涉及界面处的几何不连续性，其中压力和速度模式通过使用孔径的连续性条件进行匹配。在各个管道区域中使用正交和/或非正交特征能够将微分系统重铸为可以通过反演求解的线性代数系统。可见，对称不连续性的变化和材料性质的变化对散射辐射有很大影响。通过相反的分析和数值实验，该解决方案完全得到验证。