{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,17]],"date-time":"2026-07-17T12:05:52Z","timestamp":1784289952981,"version":"3.55.0"},"reference-count":30,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2023,2,21]],"date-time":"2023-02-21T00:00:00Z","timestamp":1676937600000},"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":["92166107"],"award-info":[{"award-number":["92166107"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61801009"],"award-info":[{"award-number":["61801009"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["2020JM-515"],"award-info":[{"award-number":["2020JM-515"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Natural Science Basic Research Plan in Shaanxi Province of China","award":["92166107"],"award-info":[{"award-number":["92166107"]}]},{"name":"Natural Science Basic Research Plan in Shaanxi Province of China","award":["61801009"],"award-info":[{"award-number":["61801009"]}]},{"name":"Natural Science Basic Research Plan in Shaanxi Province of China","award":["2020JM-515"],"award-info":[{"award-number":["2020JM-515"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>As underwater disturbances (natural or artificial) occur in the ocean, moving seawater crossing the geomagnetic fields will produce weak circular currents. These currents can induce measurable magnetic fields, which might be useful for monitoring ocean internal waves using aeromagnetic survey. In this research, a spectral-element method (SEM) based on Gauss\u2013Lobatto\u2013Legendre (GLL) polynomials is presented to characterize the magnetic field induced by the underwater pressure waves. A concise mathematical model is established through combining the acoustic wave equations and Maxwell\u2019s equations. Specifically, the acoustic\u2013magnetic coupling simulation adopts the nodal-based SEM for acoustic analysis and edge-based SEM for electromagnetic analysis. The proposed SEM has spectral accuracy, as the error exponentially decreases with the order of the basis functions. Additionally, by adopting an independent modeling and mesh scheme in two solvers, respectively, the waste of computing resources is avoided. The experimental analysis demonstrates that the induced magnetic fields mechanically propagate with the acoustic wave, producing the pseudo-radiation phenomenon. The signals of these magnetic fields may extend for tens of kilometers and exist for hours under certain circumstances, which provide a theoretical basis for underwater target identification via high-sensitivity atomic magnetometer.<\/jats:p>","DOI":"10.3390\/rs15051191","type":"journal-article","created":{"date-parts":[[2023,2,22]],"date-time":"2023-02-22T01:39:47Z","timestamp":1677029987000},"page":"1191","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Analysis of Acoustic\u2013Magnetic Fields Induced by Underwater Pressure Wave in a Finite-Depth Ocean"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6373-3883","authenticated-orcid":false,"given":"Yuanguo","family":"Zhou","sequence":"first","affiliation":[{"name":"College of Communication and Information Engineering, Xi\u2019an University of Science and Technology, Xi\u2019an 710054, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Peng","family":"Huang","sequence":"additional","affiliation":[{"name":"College of Communication and Information Engineering, Xi\u2019an University of Science and Technology, Xi\u2019an 710054, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Guoqing","family":"Yang","sequence":"additional","affiliation":[{"name":"College of Electronics and Information, Hangzhou Dianzi University, Hangzhou 310018, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Shangqing","family":"Liang","sequence":"additional","affiliation":[{"name":"College of Electronics and Information, Hangzhou Dianzi University, Hangzhou 310018, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2581-7709","authenticated-orcid":false,"given":"Qiang","family":"Ren","sequence":"additional","affiliation":[{"name":"School of Electronics and Information Engineering, Beihang University, Beijing 100191, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Shiwei","family":"Tian","sequence":"additional","affiliation":[{"name":"National Innovation Institute of Defense Technology, PLA Academy of Military Science, Beijing 100071, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2023,2,21]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1126\/science.183.4121.195","article-title":"Internal Waves Advancing along Submarine Canyons","volume":"183","author":"Shepard","year":"1974","journal-title":"Science"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1109\/48.286641","article-title":"The induced electromagnetic field associated with submerged moving bodies in an unstratified conducting fluid","volume":"19","author":"Madurasinghe","year":"1994","journal-title":"IEEE J. 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