{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,15]],"date-time":"2026-05-15T15:46:11Z","timestamp":1778859971675,"version":"3.51.4"},"reference-count":19,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2022,1,13]],"date-time":"2022-01-13T00:00:00Z","timestamp":1642032000000},"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":["52035010"],"award-info":[{"award-number":["52035010"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Shaanxi Key Industry Chain Project","award":["2020ZDLGY14-08"],"award-info":[{"award-number":["2020ZDLGY14-08"]}]},{"name":"National 111 Project","award":["B14042"],"award-info":[{"award-number":["B14042"]}]},{"name":"Nature Science Basic Research Plan in Shaanxi province of China","award":["no. 2019JQ-269"],"award-info":[{"award-number":["no. 2019JQ-269"]}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["no. JB210417"],"award-info":[{"award-number":["no. JB210417"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Shaanxi Innovation Team Project","award":["2018TD-012"],"award-info":[{"award-number":["2018TD-012"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>With the advent of wearable communication devices, microstrip antennas have developed multiple applications due to their ultra-low-profile properties. Therefore, it is essential to analyze the problem of frequency shift and impedance mismatch when the antenna is bent. For the case of a rectangular patch antenna E-plane bent on the cylindrical surface, (1) this paper introduces the effective dielectric constant into the cavity model, which can accurately predict the resonance frequency of the antenna, and (2) according to the equivalent circuit model of the antenna resonance mode, the lumped element parameters are calculated based on the above effective dielectric constant, so that impedance characteristics and the S-parameter matching the port can be quickly constructed. From the perspective of circuit frequency characteristics, it explains the change in the transmission performance of the curved antenna. The experimental results show that the maximum difference between the experimental and theoretical calculation frequencies is less than 1%. These results verify the validity and applicability of the theory in the analysis of ultra-low-profile patch antennas and wearable electronic communication devices. It provides a theoretical basis for the fast impedance matching of patch antennas under different working conditions.<\/jats:p>","DOI":"10.3390\/s22020602","type":"journal-article","created":{"date-parts":[[2022,1,14]],"date-time":"2022-01-14T03:14:03Z","timestamp":1642130043000},"page":"602","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":17,"title":["Analysis Method of Bending Effect on Transmission Characteristics of Ultra-Low-Profile Rectangular Microstrip Antenna"],"prefix":"10.3390","volume":"22","author":[{"given":"Jiaying","family":"Zhang","sequence":"first","affiliation":[{"name":"Key Laboratory of Electronic Equipment Structure Design, School of Mechanical and Electrical Engineering, Xidian University, Ministry of Education, Xi\u2019an 710071, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jin","family":"Huang","sequence":"additional","affiliation":[{"name":"Key Laboratory of Electronic Equipment Structure Design, School of Mechanical and Electrical Engineering, Xidian University, Ministry of Education, Xi\u2019an 710071, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Peng","family":"Sun","sequence":"additional","affiliation":[{"name":"Key Laboratory of Electronic Equipment Structure Design, School of Mechanical and Electrical Engineering, Xidian University, Ministry of Education, Xi\u2019an 710071, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fanbo","family":"Meng","sequence":"additional","affiliation":[{"name":"Key Laboratory of Electronic Equipment Structure Design, School of Mechanical and Electrical Engineering, Xidian University, Ministry of Education, Xi\u2019an 710071, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jie","family":"Zhang","sequence":"additional","affiliation":[{"name":"Key Laboratory of Electronic Equipment Structure Design, School of Mechanical and Electrical Engineering, Xidian University, Ministry of Education, Xi\u2019an 710071, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Pengbing","family":"Zhao","sequence":"additional","affiliation":[{"name":"Key Laboratory of Electronic Equipment Structure Design, School of Mechanical and Electrical Engineering, Xidian University, Ministry of Education, Xi\u2019an 710071, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,1,13]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"2588","DOI":"10.1109\/TII.2018.2823311","article-title":"Guest Editorial 5G and Beyond Mobile Technologies and Applications for Industrial IoT (IIoT)","volume":"14","author":"Mumtaz","year":"2018","journal-title":"IEEE Trans. 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