A Frequency-Dependent Coupled-Mode Analysis of Multiconductor Microstrip Lines with Application to VLSI Interconnection Problems

Farr, Everett G.; Chan, Chi Hou; Mittra, R.

doi:10.1109/tmtt.1986.1133331

Cited by 38 publications

(12 citation statements)

References 11 publications

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“…The associated solutions {a and H (1) ν . Following the similar procedure as in the zero-order problem, after tedious but straightforward manipulations, the first-order electric fields in the Fourier transformed domain are expressed as…”

Section: Coupled-mode Equationsmentioning

confidence: 99%

“…(19) and (28)- (30), we have the integral equations for J (1) a (x) and J (1) b (x). To solve the integral equations, the spectra of the first-order currents are expanded as follows:…”

Section: Coupled-mode Equationsmentioning

confidence: 99%

“…where {a (1) ν,xn } and {a (1) ν,zn } are unknown expansion coefficients. Using Galerkin's moment method again, the first-order problem is reduced to the following matrix equations:…”

Section: Coupled-mode Equationsmentioning

confidence: 99%

“…where ∆β = β a − β b , and a ν,xn , a (1) ν,zn ), respectively. The inhomogeneous system of linear equations (33) and (34) are singular, because det[A ν (β ν )] = 0 as shown in Eq.…”

Section: Coupled-mode Equationsmentioning

confidence: 99%

“…One of the important subjects on such transmission systems is to evaluate efficiently as well as accurately the high frequency electromagnetic coupling between nearby lines [1][2][3], which affects seriously the circuit performance in high speed operation. The transmission characteristics of coupled microstrip lines can be rigorously analyzed using various numerical techniques [4].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Coupled-Mode Analysis of Coupled Microstrip Transmission Lines Using a Singular Perturbation Technique

Watanabe¹,

Yasumoto²

2000

PIER

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Section: Coupled-mode Equationsmentioning

confidence: 99%

“…(19) and (28)- (30), we have the integral equations for J (1) a (x) and J (1) b (x). To solve the integral equations, the spectra of the first-order currents are expanded as follows:…”

Section: Coupled-mode Equationsmentioning

confidence: 99%

“…where {a (1) ν,xn } and {a (1) ν,zn } are unknown expansion coefficients. Using Galerkin's moment method again, the first-order problem is reduced to the following matrix equations:…”

Section: Coupled-mode Equationsmentioning

confidence: 99%

Section: Coupled-mode Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Coupled-Mode Analysis of Coupled Microstrip Transmission Lines Using a Singular Perturbation Technique

Watanabe¹,

Yasumoto²

2000

PIER

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Modeling and reduction of crosstalk on coupled microstrip line structures and multichip modules: An FDTD approach

Rizvi

LoVetri

1996

Int. J. Microw. Mill.-Wave Comput.-Aided Eng.

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The finite difference time domain modeling technique is used to model the near end and far end crosstalk on coupled microstrip structures used in multichip modules. The lines are terminated in lumped resistors which closely, but not exactly, match the lines. One line is excited by a Gaussian voltage pulse produced by a Thévenin equivalent voltage source. It is shown that adding dielectric strips in the substrate below the conducting lines will reduce the peak crosstalk by as much as 80%. Eight different configurations are modeled consisting of dielectric strips with different dielectric constant combinations. All configurations are modeled with and without a metal case in order to make sure that the crosstalk reduction persists when the structure is enclosed in a metallic enclosure (this would be the case for multichip modules). The results show that using dielectric strips with the smallest possible dielectric constant reduces crosstalk the most. © 1996 John Wiley & Sons, Inc.

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Efficient analytical‐numerical modelling of ultra‐wideband pulsed plane wave scattering

Carin

Felsen

1993

Int J Numerical Modelling

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SUMMARY Ultra-wideband (UWB) pulsed plane wave scattering from a large but finite strip grating in free space is analysed in the frequency domain via decomposition into plane wave spectra, implemented numerically by the method of moments, and then inverted into the time domain (TD). To make this procedure practical under UWB conditions, closed form expressions are derived for interaction integrals involving widely separated expansion and testing functions. These closed forms are based on a judicious choice of the basis functions, and on asymptotic methods for reducing the integrals. Although large separation distances are assumed, the expressions have been found to be accurate for separations as small as 0-1 wavelengths. The TD self terms can also be evaluated efficiently. To test the frequency domain algorithm, comparisons are made with available data in the literature for surface currents and far-field scattering from multiple strips. New short pulse TD results are shown as well.

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A Frequency-Dependent Coupled-Mode Analysis of Multiconductor Microstrip Lines with Application to VLSI Interconnection Problems

Cited by 38 publications

References 11 publications

Coupled-Mode Analysis of Coupled Microstrip Transmission Lines Using a Singular Perturbation Technique

Coupled-Mode Analysis of Coupled Microstrip Transmission Lines Using a Singular Perturbation Technique

Modeling and reduction of crosstalk on coupled microstrip line structures and multichip modules: An FDTD approach

Efficient analytical‐numerical modelling of ultra‐wideband pulsed plane wave scattering

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