Time-Domain Analysis of a Lossy Nonuniform Transmission Line

Jeong, Jaehoon; Nevels, Robert D.

doi:10.1109/tcsii.2008.2011610

Cited by 22 publications

(7 citation statements)

References 9 publications

(15 reference statements)

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“…This representation is in a form described as the D'Alembert solution for two coupled first order differential equations. Similar to (1) and (2), equations for a lossy transmission line, which include the distributed line resistance R and conductance G , can be expressed as in .…”

Section: Discussionmentioning

confidence: 99%

“…Recently, a time‐domain analytical propagator solution for Maxwell's equations was introduced . Based on this work a time‐domain propagator numerical method for a lossless nonuniform transmission line was developed in , and extended to a lossy nonuniform transmission line in and lossless multiconductor quasi‐TEM lines in . However, in that body of work the term “inhomogeneous” referred to both continuous and discontinuous changes in characteristic impedance along the length of the transmission line.…”

Section: Introductionmentioning

confidence: 99%

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A propagator analysis of transmission line on an inhomogeneous substrate

Shin

Nevels

2017

Microw. Opt. Technol. Lett.

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A novel time domain numerical method for calculating voltages and currents on both lossy and lossless transmission lines with an inhomogeneous substrate is presented. Equations for the voltage and current amplitudes, coincident in both time and spatial position, are developed using a time‐domain propagator method. A technique for maintaining a constant time step as well as a fixed spatial grid size, through extrapolation in time, is provided. Numerical expressions are also provided for voltages and currents in lossy substrates, boundary conditions between two dielectrics and between a dielectric and a perfect conductor, an absorbing boundary condition and a numerical dispersion relation. Examples are presented for inhomogeneous transmission lines with multiple sections excited by both a Gaussian and a rectangular pulse. It is shown that the numerical time evolution of voltage pulses and computed reflection coefficients versus frequency agree with analytical calculations. © 2017 Wiley Periodicals, Inc. Microwave Opt Technol Lett 59:1411–1416, 2017

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A propagator analysis of transmission line on an inhomogeneous substrate

Shin

Nevels

2017

Microw. Opt. Technol. Lett.

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“…Furthermore, when a transmission line includes frequency independent losses, a number of similar methods are appropriate. [18][19][20] All of these methods can be used in either time domain or frequency domain analyses. However, when the losses are frequency dependent, as are the thermoviscous losses in Eqs.…”

Section: Tube Model With Thermoviscous Lossesmentioning

confidence: 99%

Analog model for thermoviscous propagation in a cylindrical tube

Thompson

Gabrielson

Warren

2014

The Journal of the Acoustical Society of America

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Modeling acoustic propagation in tubes including the effects of thermoviscous losses at the tube walls is important in applications such as thermoacoustics, hearing aids, and wind musical instruments. Frequency dependent impedances for a tube transmission line model in terms of the so-called thermal and viscous functions are well established, and form the basis for frequency domain analysis of systems that include tubes. However, frequency domain models cannot be used for systems in which significant nonlinearities are important, as is the case with the pressure-flow relationship through the reed in a woodwind instrument. This paper describes a cylindrical tube model based on a continued fraction expansion of the thermal and viscous functions. The model can be represented as an analog circuit model which allows its use in time domain system modeling. This model avoids problems with fractional derivatives in the time domain.

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“…The TD analysis can be focused on different components constituting the transceiver system as antenna [1][2] and transistor [3]. In function of the case study, the TD analysis can be performed theoretically [4], computationally [5][6] and experimentally [6][7][8][9][10][11]. Nowadays, most of used techniques of the microwave circuit measurements in the TD are using the TD reflectometry (TDR) [6][7][8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Innovative Transient Study of Tri-Bandpass Negative Group Delay Applied to Microstrip Barcode-Circuit

Wan

Mefteh

et al. 2021

IEEE Access

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An innovative transient study of RF and microwave circuit operating with bandpass (BP) negative group delay (NGD) function is devoted in this paper. The developed unfamiliar circuit BP-NGD analysis is applied to an original barcode-shape microwave passive topology. The design method of the BP-NGD barcode microstrip circuit is described. The circuit under study is implemented in order to operate as a tri-band NGD function. Furthermore, the different steps of the BP-NGD transient analysis adapted to triband aspect is explained. Before the time-domain (TD) testing, it is particularly important to define the transient parameters from the frequency domain analysis. In other words, the BP-NGD specifications of the circuit under test (CUT) must be determined. Similar to all RF and microwave circuits, the BP-NGD one is specified based on the S-parameter model. To realize the transient analysis, we have considered a Gaussian pulse as input signal in order to analytically define the TD characteristics in function of the NGD bandwidth (BW) and center frequency. The feasibility of the developed BP-NGD transient study is illustrated by experimentation based on ultra-wide band (UWB) pulse generator. As proof-of-concept, barcode NGD circuit exhibiting tri-band NGD value-center frequency-bandwidth, (-5.9 ns, 2.128 GHz, 20 MHz), 2.3 GHz, 14 MHz) and 2.42 GHz, 14 MHz), respectively, has been fabricated and tested. The transient simulations and experiences confirm the transient BP-NGD behavior. It is emphasized that the output signal envelopes of the barcode NGD prototype present leading and tailing edges in time-advance of input ones when the carrier frequency is equal to the NGD center frequency.

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Time-Domain Analysis of a Lossy Nonuniform Transmission Line

Cited by 22 publications

References 9 publications

A propagator analysis of transmission line on an inhomogeneous substrate

A propagator analysis of transmission line on an inhomogeneous substrate

Analog model for thermoviscous propagation in a cylindrical tube

Innovative Transient Study of Tri-Bandpass Negative Group Delay Applied to Microstrip Barcode-Circuit

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