{"title":"Kennaugh最优极化和特征值问题","authors":"J. Yang","doi":"10.1109/APS.1993.385585","DOIUrl":null,"url":null,"abstract":"The left and right Kennaugh eigenvectors of the symmetric scattering matrix are first introduced. It can be shown that the Kennaugh optimal polarizations of the transmitter and receiver are e/sup i/spl alpha//x/sub 1/ and e/sup i/spl beta//y/sub 1/, where x/sub 1/ and y/sub 1/ are the right and left Kennaugh eigenvectors of the symmetric scattering matrix, respectively. Then, the left and right generalized eigenvectors of the asymmetric scattering matrix are considered. It can also be proved that the Kennaugh optimal polarizations of the transmitter and receiver are e/sup i/spl alpha//x/sub 1/ and e/sup i/spl beta//y/sub 1/, where x/sub 1/ and y/sub 1/ are right and left generalization eigenvectors of the asymmetric scattering matrix, respectively.<<ETX>>","PeriodicalId":138141,"journal":{"name":"Proceedings of IEEE Antennas and Propagation Society International Symposium","volume":"7 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1993-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Kennaugh's optimal polarization and eigenvalue problem\",\"authors\":\"J. Yang\",\"doi\":\"10.1109/APS.1993.385585\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The left and right Kennaugh eigenvectors of the symmetric scattering matrix are first introduced. It can be shown that the Kennaugh optimal polarizations of the transmitter and receiver are e/sup i/spl alpha//x/sub 1/ and e/sup i/spl beta//y/sub 1/, where x/sub 1/ and y/sub 1/ are the right and left Kennaugh eigenvectors of the symmetric scattering matrix, respectively. Then, the left and right generalized eigenvectors of the asymmetric scattering matrix are considered. It can also be proved that the Kennaugh optimal polarizations of the transmitter and receiver are e/sup i/spl alpha//x/sub 1/ and e/sup i/spl beta//y/sub 1/, where x/sub 1/ and y/sub 1/ are right and left generalization eigenvectors of the asymmetric scattering matrix, respectively.<<ETX>>\",\"PeriodicalId\":138141,\"journal\":{\"name\":\"Proceedings of IEEE Antennas and Propagation Society International Symposium\",\"volume\":\"7 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1993-06-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of IEEE Antennas and Propagation Society International Symposium\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/APS.1993.385585\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of IEEE Antennas and Propagation Society International Symposium","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/APS.1993.385585","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Kennaugh's optimal polarization and eigenvalue problem
The left and right Kennaugh eigenvectors of the symmetric scattering matrix are first introduced. It can be shown that the Kennaugh optimal polarizations of the transmitter and receiver are e/sup i/spl alpha//x/sub 1/ and e/sup i/spl beta//y/sub 1/, where x/sub 1/ and y/sub 1/ are the right and left Kennaugh eigenvectors of the symmetric scattering matrix, respectively. Then, the left and right generalized eigenvectors of the asymmetric scattering matrix are considered. It can also be proved that the Kennaugh optimal polarizations of the transmitter and receiver are e/sup i/spl alpha//x/sub 1/ and e/sup i/spl beta//y/sub 1/, where x/sub 1/ and y/sub 1/ are right and left generalization eigenvectors of the asymmetric scattering matrix, respectively.<>
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