Extension of the application of conformal mapping techniques to coplanar lines with finite dimensions

Veyres, C.; Hanna, Victor Fouad

doi:10.1080/00207218008901066

Cited by 177 publications

(86 citation statements)

References 8 publications

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“…capacitance C where C 0 and C 1 represent the capacitance when the partial field distribution reside in free space and inside the dielectric material of (ε r1 −1), respectively [21]. The partial capacitance technique [3,22,23] is applied to evaluate these p.u.l. capacitance of PCPW, which models the air/dielectric and dielectric/dielectric interfaces as PMC.…”

Section: Conformal Mapping Analysismentioning

confidence: 99%

“…The first analytic formula for this ideal configuration is given by Wen [1] using conformal mapping. In actual implementation, the CPW structures are neither of infinite substrate nor infinite lateral extent and the computation of their propagation characteristics has received great attention with a variety of analytical and numerical techniques [2][3][4][5]. However, the demands on designing high-speed circuits and systems with the increase of integration density have led to multiconductor interconnects [6].…”

Section: Introductionmentioning

confidence: 99%

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Analytical Investigation of Periodic Coplanar Waveguides

Chen¹,

Huff²

2013

PIER M

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Abstract-This paper presents an analytical formula to evaluate even-and odd-mode characteristics of infinitely parallel coplanar waveguides (CPW) with the same dimensions in each CPW, given name as periodic coplanar waveguides (PCPW). The analysis yields a closed-form expression based on the quasi-TEM assumption and conformal mapping transformation. Calculated results show that both the even-and odd-mode characteristic impedances are in good agreements with the results generated by numerical solvers and available experimental data. The results are important especially for highly demand on miniaturization of circuit design to place multiple CPWs in parallel.

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Section: Conformal Mapping Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analytical Investigation of Periodic Coplanar Waveguides

Chen¹,

Huff²

2013

PIER M

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“…To evaluate the cross winding capacitance of the bifilar wound toroid transformer, an analysis of coplanar stripline capacitance that employs conformal mapping is taken from the literature [39]. Without presenting details of the derivation, the paper [39] uses conformal mapping to form a parallel-plate geometry from the coplanar geometry.…”

Section: 223mentioning

confidence: 99%

“…Without presenting details of the derivation, the paper [39] uses conformal mapping to form a parallel-plate geometry from the coplanar geometry. The parallel-plate capacitance equation with the conformed parameters is used to calculate the coplanar capacitance in vacuum and with a substrate.…”

Section: 223mentioning

confidence: 99%

Modeling and Testing of Ethernet Transformers

et al. 2009

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Twisted-pair Ethernet is now the standard home and office last-mile network technology. For decades, the IEEE standard that defines Ethernet has required electrical isolation between the twisted pair cable and the Ethernet device. So, for decades, every Ethernet interface has used magnetic core Ethernet transformers to isolate Ethernet devices and keep users safe in the event of a potentially dangerous fault on the network media. The current state-of-the-art Ethernet transformers are miniature (<5mm diameter) ferrite-core toroids wrapped with approximately 10 to 30 turns of wire. As small as current Ethernet transformers are, they still limit further Ethernet device miniaturization and require a separate bulky package or jack housing. New coupler designs must be explored which are capable of exceptional miniaturization or on-chip fabrication.This dissertation thoroughly explores the performance of the current commercial Ethernet transformers to both increase understanding of the device"s behavior and outline performance parameters for replacement devices. Lumped element and distributed circuit models are derived; testing schemes are developed and used to extract model parameters from commercial Ethernet devices. Transfer relation measurements of the commercial Ethernet transformers are compared against the model"s behavior and it is found that the tuned, distributed models produce the best transfer relation match to the measured data.Process descriptions and testing results on fabricated thin-film dielectric-core toroid transformers are presented. The best results were found for a 32-turn transformer loaded with 100Ω, the impedance of twisted pair cable. This transformer gave a flat response from about 10MHz to 40MHz with a height of approximately 0.45. For the fabricated transformer structures, theoretical methods to determine resistance, capacitance and inductance are presented. A special analytical and numerical analysis of the fabricated transformer inductance is presented. Planar cuts of magnetic slope fields around the dielectric-core toroid are shown that describe the effect of core height and winding density on flux uniformity without a magnetic core.

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“…In MMIC's, CPW has a complex structure in contrast with the first proposal of Wen [6,7]. The full wave analysis is usually used to characterize such complex structure.…”

Section: Introductionmentioning

confidence: 99%

Multilayer Perceptron Neural Analysis of Edge Coupled and Conductor-Backed Edge Coupled Coplanar Waveguides

Raghavan¹

2009

PIER B

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Extension of the application of conformal mapping techniques to coplanar lines with finite dimensions

Cited by 177 publications

References 8 publications

Analytical Investigation of Periodic Coplanar Waveguides

Analytical Investigation of Periodic Coplanar Waveguides

Modeling and Testing of Ethernet Transformers

Multilayer Perceptron Neural Analysis of Edge Coupled and Conductor-Backed Edge Coupled Coplanar Waveguides

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