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Schelkunoff Formulation of the Sommerfeld Integral for the Hertzian Dipole Located in the Vicinity of Cylindrical Structures
dc.contributor.authorShaikh, Tazeen
dc.contributor.authorGhosh, Bratin
dc.contributor.authorBhattacharya, Dhrubajyoti
dc.contributor.authorSarabandi, Kamal
dc.date.accessioned2022-09-26T16:01:37Z
dc.date.available2023-09-26 12:01:35en
dc.date.available2022-09-26T16:01:37Z
dc.date.issued2022-08
dc.identifier.citationShaikh, Tazeen; Ghosh, Bratin; Bhattacharya, Dhrubajyoti; Sarabandi, Kamal (2022). "Schelkunoff Formulation of the Sommerfeld Integral for the Hertzian Dipole Located in the Vicinity of Cylindrical Structures." Radio Science 57(8): n/a-n/a.
dc.identifier.issn0048-6604
dc.identifier.issn1944-799X
dc.identifier.urihttps://hdl.handle.net/2027.42/174768
dc.description.abstractA numerical integration of the Sommerfeld integral is performed using the Schelkunoff formulation for cylindrical media. The Schelkunoff kernel for cylindrical media involves higher order modified Bessel functions with azimuthal summation over higher order modes. As such, the convergence characteristics of the cylindrical integral kernel are strongly dependent on complex linear combinations of higher order Bessel/Hankel/modified Bessel functions, compared to the case of the planar media where only a single Bessel/modified Bessel function of zeroth order is present. Two cylindrical configurations are analyzed using the new formulation, viz. a conducting cylinder and a dielectric‐coated conducting cylinder. The branch‐point singularity in the first configuration is removed using the angular transformation for the Sommerfeld/Schelkunoff formulations. A path deformation technique is used for the second configuration to address the problem of poles and branch‐point singularities on the real axis of integration. The in‐depth analysis of the cylindrical kernels and the integrals with variation in the location of the observation point clearly bring out the relative merits of both formulations for the cylindrical configurations, with the TE/TM coupling for the coated cylinder considered.Key PointsThe Schelkunoff kernel for cylindrical media involves higher order modified Bessel functions with higher order azimuthal modal summationThe Sommerfeld integral converges faster than Schelkunoff integral for large radial separation between source and field pointsThe Schelkunoff integral converges faster compared to Sommerfeld integral for large axial separation between source and field points
dc.publisherUSNC‐URSI Radio Science Meeting
dc.publisherWiley Periodicals, Inc.
dc.subject.otherintegral tail
dc.subject.otherconducting cylinder
dc.subject.othercoated cylinder
dc.subject.otherSchelkunoff integral
dc.subject.otherSommerfeld integral
dc.titleSchelkunoff Formulation of the Sommerfeld Integral for the Hertzian Dipole Located in the Vicinity of Cylindrical Structures
dc.typeArticle
dc.rights.robotsIndexNoFollow
dc.subject.hlbsecondlevelElectrical Engineering
dc.subject.hlbtoplevelEngineering
dc.description.peerreviewedPeer Reviewed
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/174768/1/rds21169.pdf
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/174768/2/rds21169_am.pdf
dc.identifier.doi10.1029/2022RS007451
dc.identifier.sourceRadio Science
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dc.working.doiNOen
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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