NDLI: Solving the Axial Line Problem for Fast Computation of Mixed Potential Green's Functions for Cylindrically Stratified Media

Content Provider	IEEE Xplore Digital Library
Author	Liang-Feng Ye Shun-Lian Chai Hai-Sheng Zhang Da Peng Ke Xiao
Copyright Year	1963
Abstract	An improved approach is proposed for solving the axial line problem (\|ρ^→-ρ^→\| = 0) of mixed potential Green's functions (MPGFs) in spatial domain for cylindrically stratified media. Different from the previous work, to alleviate the convergence problem of the summation of cylindrical eigenmodes in the spectral domain, two asymptotic terms with respect to n are extracted analytically. In this way, the higher order nonphysical singularities with respect to \|ρ^→ - ρ^→\| are proven to vanish, and the lower order physical singularities can be transformed into the spatial domain completely using the Sommerfeld identity. Therefore, the remaining parts of the summation are free of singularities related to \|ρ^→ - ρ^→\| and fast convergent, which can be easily transformed into closed-form spatial-domain expressions by applying the generalized pencil of function method. The present approach can be used to accurately calculate the spatial domain MPGFs over the entire cylindrical surface. Several numerical results are presented to verify the accuracy and efficiency of this approach.
Sponsorship	IEEE Microwave Theory and Techniques Society
Starting Page	23
Ending Page	37
Page Count	15
File Size	5022037
File Format	PDF
ISSN	00189480
Volume Number	61
Issue Number	1
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Spectral analysis Green's function methods Moment methods Media Vectors Periodic structures Electric potential mixed potential Green's functions (MPGFs) Cylindrically stratified media discrete complex image method (DCIM) generalized pencil of function (GPOF) method method of moments (MoM)
Content Type	Text
Resource Type	Article
Subject	Condensed Matter Physics Electrical and Electronic Engineering Radiation

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