{"title":"Rigorous Approach to Coupling Matrix Synthesis Problem With Arbitrary Topology","authors":"Seungjun Lee;Jongheun Lee;Juseop Lee","doi":"10.1109/TMTT.2024.3481877","DOIUrl":null,"url":null,"abstract":"This work presents a mathematical procedure for solving coupling matrix synthesis problems with arbitrary topologies. A discussion on the properties of arbitrary response-preserving similarity transformations is provided. Based on this property, the proposed method rigorously addresses every possible coupling matrix complying with a desired target topology. This method applies to arbitrary target topologies, both redundant and non-redundant. In cases where there are an infinite number of solutions, this procedure yields a parameterized equation representing all such solutions.","PeriodicalId":13272,"journal":{"name":"IEEE Transactions on Microwave Theory and Techniques","volume":"73 1","pages":"335-351"},"PeriodicalIF":4.1000,"publicationDate":"2024-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Transactions on Microwave Theory and Techniques","FirstCategoryId":"5","ListUrlMain":"https://ieeexplore.ieee.org/document/10747038/","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
引用次数: 0
Abstract
This work presents a mathematical procedure for solving coupling matrix synthesis problems with arbitrary topologies. A discussion on the properties of arbitrary response-preserving similarity transformations is provided. Based on this property, the proposed method rigorously addresses every possible coupling matrix complying with a desired target topology. This method applies to arbitrary target topologies, both redundant and non-redundant. In cases where there are an infinite number of solutions, this procedure yields a parameterized equation representing all such solutions.
期刊介绍:
The IEEE Transactions on Microwave Theory and Techniques focuses on that part of engineering and theory associated with microwave/millimeter-wave components, devices, circuits, and systems involving the generation, modulation, demodulation, control, transmission, and detection of microwave signals. This includes scientific, technical, and industrial, activities. Microwave theory and techniques relates to electromagnetic waves usually in the frequency region between a few MHz and a THz; other spectral regions and wave types are included within the scope of the Society whenever basic microwave theory and techniques can yield useful results. Generally, this occurs in the theory of wave propagation in structures with dimensions comparable to a wavelength, and in the related techniques for analysis and design.