Multipole theory analysis of various configurations of slab lines

Zheng, Qinhong; Lin, Weigan; Xie, Fei; Li, Jingtian

doi:10.1002/(sici)1098-2760(19980220)17:3<197::aid-mop14>3.0.co;2-2

Cited by 5 publications

(5 citation statements)

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“…Recently, Zheng et al [9] have developed a new approach, the multipole theory (MT) method, for calculating 2D Laplace's equation boundary-value problem, and the MT method has been applied to the computation of the characteristic impedance of various homogeneous transmission lines [9,10] and cylindrical microstrip line in a layered medium [11].…”

Section: Introductionmentioning

confidence: 67%

Multipole Theory Analysis of Rectangular Shielded Planar Striplines

Zheng¹,

Zhang²,

Li³

et al. 2006

Journal of Electromagnetic Waves and Applications

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A new approach, the multipole theory(MT) method, is presented for computation of the characteristics impedance of the rectangular shielded planar striplines. The rectangular structure is transformed as the cylindrical structure by conformal mapping, the inhomogeneous field domain is treated as a combination of several simple homogeneous regions, and the solution of the boundary-value problem is represented by the generalized MT formula. Representative computational examples, including asymmetric TEM cell, rectangular shielded single microstrip line and coupled microstrip line on multilayered substrates, are given to validate the theory, and to demonstrate the accuracy and flexibility of the MT method. Downloaded by [Umeå University Library] at 11:43 17 November 2014 1358 Zheng et al.

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Section: Introductionmentioning

confidence: 67%

Multipole Theory Analysis of Rectangular Shielded Planar Striplines

Zheng¹,

Zhang²,

Li³

et al. 2006

Journal of Electromagnetic Waves and Applications

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“…The technique is best illustrated by means of an example, and one chosen here is an unscreened slab line shown in Figure 1(a) [4,6,8,11,12], which is composed of a cylindrical metallic bar of diameter D placed between two parallel grounded metallic planes with separation distance a. For calculating the capacitance of unscreened cylindrical single-bar slab line, Stracca et al [4] used the moment method (MM) with a point-matching technique, Pan [6] presented the equivalent eccentric coaxial line technique, Costamagna and Fanni [8] used the conformal mapping, and Zheng et al [11,12] presented the multipole theory (MT) method.…”

Section: Unscreened Cylindrical Single-bar Slab Linementioning

confidence: 99%

“…For calculating the capacitance of unscreened cylindrical single-bar slab line, Stracca et al [4] used the moment method (MM) with a point-matching technique, Pan [6] presented the equivalent eccentric coaxial line technique, Costamagna and Fanni [8] used the conformal mapping, and Zheng et al [11,12] presented the multipole theory (MT) method. No exact conformal transformation is known for the cylindrical single-bar configuration shown in Figure 1(a), but two parallel grounded planes may be transformed into two circular boundaries, and the circular bar boundary may be transformed into a hollow circular boundary of radius R 0 by means of the following transformation.…”

Section: Unscreened Cylindrical Single-bar Slab Linementioning

confidence: 99%

“…Unscreened cylindrical-bar coupled slab line which is shown in Figure 3 has been described and studied by many authors [2,5,7,[9][10][11][12]. This coupled line can be excited in the two ways: "even mode" excitation or "odd mode" excitation, i.e., in-phase or oppositephase, equal-amplitude excitations.…”

Section: Unscreened Cylindrical-bar Coupled Slab Linementioning

confidence: 99%

“…This coupled line can be excited in the two ways: "even mode" excitation or "odd mode" excitation, i.e., in-phase or oppositephase, equal-amplitude excitations. For calculation of the capacitance of unscreened cylindrical-bar coupled slab line, Levy [2] used the approximate solution based on the conformal transformation, Fikioris and Tsalamengas [5] used the Carleman-Vekua method, Tailu and Olesen [7] presented the hybrid image-mode-moment method, Costamagna and Fanni [9] presented the Schwarz-Christffel conformal transformation, Abramowicz [10] presented an improved coupling coefficient method, and Zheng et al [11,12] presented the multipole theory method. Table 3 and Table 4 give the results obtained by the CT-BEM hybrid method.…”

Section: Unscreened Cylindrical-bar Coupled Slab Linementioning

confidence: 99%

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Hybrid Ct-Bem Method Analysis of Unscreened Slab Lines

Zheng¹,

Xie²,

Yao³

et al. 2008

PIER Letters

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Abstract-A hybrid method of boundary element method (BEM) combined with conformal transformation (CT) is presented to calculate the capacitance of the unscreened slab lines. Conformal transformation transforms the infinite boundary boundary-value problem with the unscreened slab line into a finite boundary one that can be solved by the BEM, then the capacitance of the unscreened slab line is obtained by the BEM. Three representative computational examples, unscreened cylindrical single-bar slab line, unscreened rectangular single-bar slab line and unscreened cylindrical-bar coupled slab line, are given to validate the accuracy and efficiency of the CT-BEM hybrid method.

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