Physics of Wave Processes and Radio SystemsPhysics of Wave Processes and Radio Systems1810-31892782-294XPovolzhskiy State University of Telecommunications and Informatics781110.18469/1810-3189.2020.23.1.32-38UnknownSymmetric solutions of problem of synthesis of three-link stepped microwave filter of ButterworthAref’evA.S.arefyev.as@inbox.ruPovolzhskiy State University of Telecommunications and Informatics01012020231323809062020Copyright © 2020, Aref’ev A.2020<p>It is demonstrated, that the problem of synthesis of three-link stepped microwave filter of Butterworth has two symmetric solutions. These solutions have equal wave impedances of the first and last links. The first solution corresponds to filter configuration with low-resistance central link. The second solution corresponds to configuration with high-resistance central link. The expressions for wave impedances of filter links are derived. The results of computation of wave impedances are brought.</p>stepped microwave filter of Butterworthsynthesis of stepped microwave filterступенчатый СВЧ-фильтр Баттервортасинтез ступенчатого СВЧ-фильтра[<ol><li>Fel’dshtejn A.L., Javich L.R. Synthesis of Quadripoles and Microwave Vosmipolyusnikov. Moscow: Svjaz’, 1971, 388 p. (In Russ.)</li><li>Korn G., Korn T. Mathematical Handbook for Scientists and Engineers. Moscow: Nauka, 1970, 720 p. (In Russ.)</li></ol>]