{"title":"Time dependent wave propagation in waveguides with rectangular scattering regions","authors":"Afnan A. Aldosri , Michael H. Meylan","doi":"10.1016/j.wavemoti.2025.103493","DOIUrl":null,"url":null,"abstract":"<div><div>The time-dependent motion of an incident wave pulse in a waveguide, which is scattered by a rectangular region, is calculated. We consider the case where the channels are located symmetrically and when they form a right-angle connected by the larger region. The solution in the time domain is found from the frequency domain solutions. The frequency domain solutions are found by the mode matching method or eigenfunction matching method. The numerical solutions are built through a series of problems of increasing complexity. The time-dependent solutions are calculated using the frequency domain solutions and this calculation is performed as matrix multiplication. The visualization of the motion is given, and the wave scattering, reflection, and transmission in the time domain are shown.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103493"},"PeriodicalIF":2.1000,"publicationDate":"2025-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Wave Motion","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0165212525000046","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ACOUSTICS","Score":null,"Total":0}
引用次数: 0
Abstract
The time-dependent motion of an incident wave pulse in a waveguide, which is scattered by a rectangular region, is calculated. We consider the case where the channels are located symmetrically and when they form a right-angle connected by the larger region. The solution in the time domain is found from the frequency domain solutions. The frequency domain solutions are found by the mode matching method or eigenfunction matching method. The numerical solutions are built through a series of problems of increasing complexity. The time-dependent solutions are calculated using the frequency domain solutions and this calculation is performed as matrix multiplication. The visualization of the motion is given, and the wave scattering, reflection, and transmission in the time domain are shown.
期刊介绍:
Wave Motion is devoted to the cross fertilization of ideas, and to stimulating interaction between workers in various research areas in which wave propagation phenomena play a dominant role. The description and analysis of wave propagation phenomena provides a unifying thread connecting diverse areas of engineering and the physical sciences such as acoustics, optics, geophysics, seismology, electromagnetic theory, solid and fluid mechanics.
The journal publishes papers on analytical, numerical and experimental methods. Papers that address fundamentally new topics in wave phenomena or develop wave propagation methods for solving direct and inverse problems are of interest to the journal.