{"title":"A pseudo non-diffracting microwave vortex","authors":"R. Speciale","doi":"10.1109/APS.2007.4396428","DOIUrl":null,"url":null,"abstract":"Computations, performed with the well-known Mathematica program, have produced rigorous, closed-form, symbolic expressions of the cylindrical E-field, and H-field components of a planar, circular-aperture field-distribution that appears to generate a radiation-pattern exhibiting the propagation-invariance of the so-called \"pseudo non-diffracting\" optical Bessel-beams. The new planar, circular-aperture field-distribution obtained includes radial-, azimuth-, and axial-components of both the E-field, and H-field with different linearly-dependent azimuth phases. Further, only the axial-(Sz*), and azimuth-(Sphi*) components of the complex poynting vector are non-zero, while the radial component Sr* is identically-zero, everywhere on and above the aperture-plane, at all radial distances from the broadside-axis, and at all axial-distances from the aperture-plane. The generated wave-front has the shape of a 3D helicoid-surface, with a pitch being a function of the kz/kr ratio. The diffraction-properties of the generated radiation- pattern are being computed by using the \"direct electromagnetic field integration \" method, reported by Walter Franz in 1948, and reviewed by Chen-To Tai in 2000.","PeriodicalId":117975,"journal":{"name":"2007 IEEE Antennas and Propagation Society International Symposium","volume":"37 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2007 IEEE Antennas and Propagation Society International Symposium","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/APS.2007.4396428","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
Computations, performed with the well-known Mathematica program, have produced rigorous, closed-form, symbolic expressions of the cylindrical E-field, and H-field components of a planar, circular-aperture field-distribution that appears to generate a radiation-pattern exhibiting the propagation-invariance of the so-called "pseudo non-diffracting" optical Bessel-beams. The new planar, circular-aperture field-distribution obtained includes radial-, azimuth-, and axial-components of both the E-field, and H-field with different linearly-dependent azimuth phases. Further, only the axial-(Sz*), and azimuth-(Sphi*) components of the complex poynting vector are non-zero, while the radial component Sr* is identically-zero, everywhere on and above the aperture-plane, at all radial distances from the broadside-axis, and at all axial-distances from the aperture-plane. The generated wave-front has the shape of a 3D helicoid-surface, with a pitch being a function of the kz/kr ratio. The diffraction-properties of the generated radiation- pattern are being computed by using the "direct electromagnetic field integration " method, reported by Walter Franz in 1948, and reviewed by Chen-To Tai in 2000.