Department of Mathematics, Capital University of Science and Technology, Islamabad, Pakistan.
Department of Mathematics and Natural Sciences, Center for Applied Mathematics and Bioinformatics, Gulf University for Science & Technology, Hawally, Kuwait.
PLoS One. 2024 Jul 26;19(7):e0306115. doi: 10.1371/journal.pone.0306115. eCollection 2024.
The present research is centered on analyzing and modeling the scattering characteristics of a trifurcated waveguide that includes impedance discontinuities. A mode-matching method, grounded in projecting the solution onto orthogonal basis functions, is devised for the investigation. The impedance disparities at the interfaces are represented in normal velocity modes, which, when combined with pressure modes, result in a linear algebraic system. This system is subsequently truncated and inverted for numerical experimentation. The convergence of scattering amplitudes is assured by reconstructing matching conditions and adhering to conservation laws. The computational results indicate that optimizing attenuation behavior is achievable through manipulating variation bounding properties and impedance discontinuities.
本研究集中于分析和建模包含阻抗不连续性的三叉波导的散射特性。为此，设计了一种基于将解投影到正交基函数上的模式匹配方法。在界面处的阻抗不连续性用法向速度模式表示，将其与压力模式结合起来，形成一个线性代数系统。然后对该系统进行截断和反演，以进行数值实验。通过重构匹配条件并遵守守恒定律，确保散射幅度的收敛性。计算结果表明，通过操纵变化边界属性和阻抗不连续性，可以实现衰减行为的优化。
