{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,12]],"date-time":"2026-06-12T16:44:37Z","timestamp":1781282677717,"version":"3.54.1"},"reference-count":39,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2023,2,14]],"date-time":"2023-02-14T00:00:00Z","timestamp":1676332800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>Synthetic aperture radar with polarimetric diversity is a powerful tool in remote sensing. Each pixel is described by the scattering matrix corresponding to the emission\/reception polarization states (usually horizontal and vertical). The algebraic real representation, a block symmetric matrix form, is introduced to adopt a more comprehensive framework (non-restricted by reciprocity assumptions) in mapping the scattering matrix by the consimilarity equivalence relation. The proposed representation can reveal potentially new information. For example, its eigenvalue decomposition, which is itself a necessary step in obtaining the consimilarity transformation products, may be useful in characterizing the degree of reciprocity\/nonreciprocity. As a consequence, it can be employed in testing the reciprocity compliance assumed with monostatic PolSAR data. Full-wave simulated polarimetric data confirm that oriented scatterers can present complex eigenvalues, even with the monostatic geometry.<\/jats:p>","DOI":"10.3390\/rs15041037","type":"journal-article","created":{"date-parts":[[2023,2,15]],"date-time":"2023-02-15T01:38:18Z","timestamp":1676425098000},"page":"1037","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Real Representation of the Polarimetric Scattering Matrix for Monostatic Radar"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3260-2204","authenticated-orcid":false,"given":"Madalina","family":"Ciuca","sequence":"first","affiliation":[{"name":"CNRS \/ Grenoble INP, GIPSA-Lab,  Universit\u00e9 Grenoble Alpes, \r\n38000 Grenoble, France"},{"name":"Department of Telecommunications, Research Center for Spatial Information, University Politehnica of Bucharest, 060032 Bucharest, Romania"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6458-3634","authenticated-orcid":false,"given":"Gabriel","family":"Vasile","sequence":"additional","affiliation":[{"name":"CNRS \/ Grenoble INP, GIPSA-Lab,  Universit\u00e9 Grenoble Alpes, \r\n38000 Grenoble, France"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3875-3238","authenticated-orcid":false,"given":"Andrei","family":"Anghel","sequence":"additional","affiliation":[{"name":"Department of Telecommunications, Research Center for Spatial Information, University Politehnica of Bucharest, 060032 Bucharest, Romania"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Michel","family":"Gay","sequence":"additional","affiliation":[{"name":"CNRS \/ Grenoble INP, GIPSA-Lab,  Universit\u00e9 Grenoble Alpes, \r\n38000 Grenoble, France"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Silviu","family":"Ciochina","sequence":"additional","affiliation":[{"name":"Department of Telecommunications, Research Center for Spatial Information, University Politehnica of Bucharest, 060032 Bucharest, Romania"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2023,2,14]]},"reference":[{"key":"ref_1","unstructured":"Krogager, E. 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