{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,3]],"date-time":"2026-07-03T01:26:31Z","timestamp":1783041991969,"version":"3.54.6"},"reference-count":41,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2022,5,9]],"date-time":"2022-05-09T00:00:00Z","timestamp":1652054400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11904035"],"award-info":[{"award-number":["11904035"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of 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China","award":["CJ20200040"],"award-info":[{"award-number":["CJ20200040"]}]},{"name":"Natural Science Foundation of the Jiangsu Higher Education Institutions of China","award":["20KJB510028"],"award-info":[{"award-number":["20KJB510028"]}]},{"name":"Natural Science Foundation of the Jiangsu Higher Education Institutions of China","award":["1908085QA39"],"award-info":[{"award-number":["1908085QA39"]}]},{"name":"Natural Science Foundation of the Jiangsu Higher Education Institutions of China","award":["KJ2019A0780"],"award-info":[{"award-number":["KJ2019A0780"]}]},{"name":"Anhui Provincial Natural Science Foundation","award":["11904035"],"award-info":[{"award-number":["11904035"]}]},{"name":"Anhui Provincial Natural Science Foundation","award":["CJ20200040"],"award-info":[{"award-number":["CJ20200040"]}]},{"name":"Anhui Provincial Natural Science Foundation","award":["20KJB510028"],"award-info":[{"award-number":["20KJB510028"]}]},{"name":"Anhui Provincial Natural Science 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Province","award":["1908085QA39"],"award-info":[{"award-number":["1908085QA39"]}]},{"name":"major Scientific Research Projects in Colleges and Universities Funded by Educational Commission of Anhui Province","award":["KJ2019A0780"],"award-info":[{"award-number":["KJ2019A0780"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The pursuit of artificial structures exhibiting unusual acoustic properties is a major scientific endeavor, in which anti-parity-time (PT) symmetry has been coming into view recent years. At the same time, with the emergence of new acoustic metamaterials, the classical Fabry\u2013Perot resonance mode also exhibits fascinating scattering features similar to those of the anti-PT-symmetric system. We derive the generalized relation for the scattering parameters of an acoustic anti-PT-symmetric system with a transfer matrix, including conjugate bidirectional reflection coefficients and pure real feature of transmission coefficient. In the absence of the real or the imaginary (representing gain\/loss) part of the refractive index, the anti-PT-symmetric system degrades into a pair of complementary media, resulting in the bidirectional total transmission. Moreover, a Fabry\u2013Perot resonance mode exhibiting conjugate bidirectional reflection coefficients and a pure imaginary transmission coefficient has been demonstrated. Our results are meaningful for guiding the experimental test of an acoustic anti-PT-symmetric system and the design of associated bidirectional response prototype devices.<\/jats:p>","DOI":"10.3390\/sym14050965","type":"journal-article","created":{"date-parts":[[2022,5,10]],"date-time":"2022-05-10T21:52:11Z","timestamp":1652219531000},"page":"965","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Scattering Properties of an Acoustic Anti-Parity-Time-Symmetric System and Related Fabry\u2013Perot Resonance Mode"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8686-6849","authenticated-orcid":false,"given":"Haixiao","family":"Zhang","sequence":"first","affiliation":[{"name":"School of Electrical and Information Engineering, Changzhou Institute of Technology, Changzhou 213032, China"},{"name":"MOE Key Laboratory of Modern Acoustics, Nanjing University, Nanjing 210093, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xiaoli","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Electrical and Information Engineering, Changzhou Institute of Technology, Changzhou 213032, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yu","family":"Bao","sequence":"additional","affiliation":[{"name":"School of Electrical and Information Engineering, Changzhou Institute of Technology, Changzhou 213032, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yiwei","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Aviation and Mechanical Engineering, Changzhou Institute of Technology, Changzhou 213032, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jinyu","family":"Zhao","sequence":"additional","affiliation":[{"name":"Key Laboratory of Architectural Acoustic Environment of Anhui Higher Education Institutes, Anhui Jianzhu University, Hefei 230601, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2022,5,9]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"5243","DOI":"10.1103\/PhysRevLett.80.5243","article-title":"Real spectra in non-Hermitian Hamiltonians having PT symmetry","volume":"80","author":"Bender","year":"1998","journal-title":"Phys. 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