{"title":"介电楔散射超奇异积分的数值计算","authors":"E. Marx","doi":"10.1109/APS.1993.385202","DOIUrl":null,"url":null,"abstract":"In the evaluation of hypersingular integrals for scattering by a dielectric wedge, the neighboring-patch contributions were previously examined under the assumption that the small-argument approximation of the Hankel functions could be used. In the present work, this assumption is relaxed. Similar corrections are required in the computation of the field components when the distance between the field point and the patch is small compared to the wavelength. Although the field integrals are finite, the behavior of the integrand is the same as that for the neighboring-patch contributions.<<ETX>>","PeriodicalId":138141,"journal":{"name":"Proceedings of IEEE Antennas and Propagation Society International Symposium","volume":"21 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1993-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Numerical evaluation of hypersingular integrals for scattering by a dielectric wedge\",\"authors\":\"E. Marx\",\"doi\":\"10.1109/APS.1993.385202\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the evaluation of hypersingular integrals for scattering by a dielectric wedge, the neighboring-patch contributions were previously examined under the assumption that the small-argument approximation of the Hankel functions could be used. In the present work, this assumption is relaxed. Similar corrections are required in the computation of the field components when the distance between the field point and the patch is small compared to the wavelength. Although the field integrals are finite, the behavior of the integrand is the same as that for the neighboring-patch contributions.<<ETX>>\",\"PeriodicalId\":138141,\"journal\":{\"name\":\"Proceedings of IEEE Antennas and Propagation Society International Symposium\",\"volume\":\"21 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1993-06-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"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.1993.385202\",\"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.1993.385202","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Numerical evaluation of hypersingular integrals for scattering by a dielectric wedge
In the evaluation of hypersingular integrals for scattering by a dielectric wedge, the neighboring-patch contributions were previously examined under the assumption that the small-argument approximation of the Hankel functions could be used. In the present work, this assumption is relaxed. Similar corrections are required in the computation of the field components when the distance between the field point and the patch is small compared to the wavelength. Although the field integrals are finite, the behavior of the integrand is the same as that for the neighboring-patch contributions.<>
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