Modeling and Analysis of a Long Thin Conducting Stripline

Bekers, DJ Dave; Eijndhoven, van Stef Stef; Ven, van de Fons Fons

doi:10.1023/b:engi.0000032740.35874.78

Cited by 3 publications

(1 citation statement)

References 9 publications

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“…However, in contrast to the (quasi-static) radio-frequency range in which gradient coils act (less than 10 3 Hz), the frequencies for antenna systems are very high (≈ 10 9 Hz), and in the latter case the strips can be modelled as perfectly conducting. Whether a conducting strip, dependent on the range of applied frequencies, can be considered as infinitely thin and/or perfectly conducting, is indicated by Bekers et al [9]. In a paper by Genenko et al [10], the reduction of edge currents due to magnetic shielding is simulated.…”

Section: Introductionmentioning

confidence: 99%

Current distribution in a parallel set of conducting strips

et al. 2005

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The current distribution in a parallel set of thin conducting sheets due to an external applied source is investigated. All sheets are placed in one plane. The source, and all excited fields, are time harmonic. The frequency is low enough to allow for an electro quasi-static approximation (neglecting the displacement current). The conducting sheets are infinitely long and the current is uniform in the longitudinal direction of the sheets. The sheets have a thin rectangular cross-section, so thin that the current can be assumed uniform in the thickness-direction. Hence, the current distribution only depends on the transverse coordinate. Due to the mutual induction between the sheets, the current distribution over the width of the cross-section becomes non-uniform: it accumulates at the edges of the sheets. It is especially this so-called edge-effect, and its dependence on the applied frequency and the distances between the sheets, that is the aim of this investigation. From the Maxwell equations, a set of integral equations for the current distribution in the sheets is derived. These integral equations are solved, as far as possible by analytical means, by writing the current distribution in each sheet as a series of Legendre polynomials. The general method is worked out for N (N ≥ 1) sheets, but explicit results are presented for N = 1 and N = 3. It turns out that the edge-effect becomes stronger for increasing frequencies. For this solution, only a very restricted number of Legendre polynomials is needed.

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Section: Introductionmentioning

confidence: 99%

Current distribution in a parallel set of conducting strips

et al. 2005

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Analysis of Eddy Currents in a Gradient Coil

Kroot

2006

Scientific Computing in Electrical Engineering

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The z-coil of an MRI-scanner is modelled as a set of circular loops of strips, or rings. Due to induction eddy currents occur which lead to the so-called edge-effect. The edgeeffect depends on the applied frequency and the distances between the strips, and affects the impedances. The current distribution in the rings is determined and from that the total resistance and self-inductance of each ring separately, all as far as possible by analytical means. From the Maxwell equations, an integral equation for the current distribution in the strips is derived. The Galerkin method is applied, using global basis functions to solve this integral equation. It turns out that Legendre polynomials as basis functions are an appropriate choice. They provoke an analytical expression for the integrals with a singular kernel function, and bring about a fast convergence; only a very restricted number of Legendre polynomials is needed.

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Phased Arrays for Radio Astronomy, Remote Sensing, and Satellite Communications

Warnick

Maaskant

Ivashina

et al. 2018

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Modeling and Analysis of a Long Thin Conducting Stripline

Cited by 3 publications

References 9 publications

Current distribution in a parallel set of conducting strips

Current distribution in a parallel set of conducting strips

Analysis of Eddy Currents in a Gradient Coil

Phased Arrays for Radio Astronomy, Remote Sensing, and Satellite Communications

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