{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:39:42Z","timestamp":1760150382555,"version":"build-2065373602"},"reference-count":38,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2023,11,22]],"date-time":"2023-11-22T00:00:00Z","timestamp":1700611200000},"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":["12071072","2242023K40011"],"award-info":[{"award-number":["12071072","2242023K40011"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Fundamental Research Funds for the Central Universities","award":["12071072","2242023K40011"],"award-info":[{"award-number":["12071072","2242023K40011"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>Consider three electromagnetic scattering models, namely, electromagnetic scattering by an elastic body, by a chiral medium, and by a cylinder at oblique incidence. We are concerned with the corresponding inverse problems of determining the locations and shapes of the scatterers from phaseless far-field patterns. There are certain essential differences from the usual inverse electromagnetic scattering problems, and some fundamental conclusions need to be proved. First, we show that the phaseless far-field data are invariant under the translation of the scatterers and prove the reciprocity relations of the scattering data. Then, we justify the unique determination of the scatterers by utilizing the reference ball approach and the superpositions of a fixed point source and plane waves as the incident fields. The proofs are based on the reciprocity relations, Green\u2019s formulas, and the analyses of the wave fields in the reference ball.<\/jats:p>","DOI":"10.3390\/axioms12121069","type":"journal-article","created":{"date-parts":[[2023,11,22]],"date-time":"2023-11-22T03:54:37Z","timestamp":1700625277000},"page":"1069","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Uniqueness Results for Some Inverse Electromagnetic Scattering Problems with Phaseless Far-Field Data"],"prefix":"10.3390","volume":"12","author":[{"given":"Xianghe","family":"Zhu","sequence":"first","affiliation":[{"name":"College of Information Engineering, Hubei University of Chinese Medicine, Wuhan 430065, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jun","family":"Guo","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, South-Central University for Nationalities, Wuhan 430074, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Haibing","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Mathematics, Southeast University, Nanjing 210096, China"},{"name":"Nanjing Center for Applied Mathematics, Nanjing 211135, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,11,22]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Colton, D., and Kress, R. 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