{"title":"锥形波导的相位进展","authors":"E. Nagelberg","doi":"10.1002/J.1538-7305.1967.TB02466.X","DOIUrl":null,"url":null,"abstract":"We studied the phase progression properties of normal modes in a conical waveguide in order to develop techniques for analysis of multimode microwave antennas. We found that the large-order asymptotic expansions of Bessel functions developed by F. W. J. Olver are most appropriate for such calculations by virtue of their simplicity and uniformity with respect to argument. These expansions are applied to analysis of the conical TE 11 and conical TM 11 modes and, in addition, to an examination of the “quasi-cylindrical approximation” in which the conical waveguide is regarded as a cylindrical waveguide with gradually changing cross section.","PeriodicalId":55391,"journal":{"name":"Bell System Technical Journal","volume":"8 1","pages":"2453-2466"},"PeriodicalIF":0.0000,"publicationDate":"1967-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Phase progression in conical waveguides\",\"authors\":\"E. Nagelberg\",\"doi\":\"10.1002/J.1538-7305.1967.TB02466.X\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We studied the phase progression properties of normal modes in a conical waveguide in order to develop techniques for analysis of multimode microwave antennas. We found that the large-order asymptotic expansions of Bessel functions developed by F. W. J. Olver are most appropriate for such calculations by virtue of their simplicity and uniformity with respect to argument. These expansions are applied to analysis of the conical TE 11 and conical TM 11 modes and, in addition, to an examination of the “quasi-cylindrical approximation” in which the conical waveguide is regarded as a cylindrical waveguide with gradually changing cross section.\",\"PeriodicalId\":55391,\"journal\":{\"name\":\"Bell System Technical Journal\",\"volume\":\"8 1\",\"pages\":\"2453-2466\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1967-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bell System Technical Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1002/J.1538-7305.1967.TB02466.X\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bell System Technical Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1002/J.1538-7305.1967.TB02466.X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
摘要
为了发展多模微波天线的分析技术，我们研究了锥形波导中正模的相进特性。我们发现由F. W. J. Olver提出的贝塞尔函数的大阶渐近展开式由于其在参数上的简单性和一致性是最适合于这种计算的。这些展开式应用于锥形t11和锥形t11模式的分析，此外，还应用于“准圆柱形近似”的检验，其中锥形波导被视为具有逐渐变化的截面的圆柱形波导。
We studied the phase progression properties of normal modes in a conical waveguide in order to develop techniques for analysis of multimode microwave antennas. We found that the large-order asymptotic expansions of Bessel functions developed by F. W. J. Olver are most appropriate for such calculations by virtue of their simplicity and uniformity with respect to argument. These expansions are applied to analysis of the conical TE 11 and conical TM 11 modes and, in addition, to an examination of the “quasi-cylindrical approximation” in which the conical waveguide is regarded as a cylindrical waveguide with gradually changing cross section.
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