The Nonuniform Transmission Line

Starr, A.T.

doi:10.1109/jrproc.1932.227748

Cited by 31 publications

(7 citation statements)

References 2 publications

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“…22.42 22.42.62 (6) This example, from Heaviside's early work on transmission lines, does not include the effects of series inductance or shunt resistance. In later articles, he incorporated these terms into a solution for the linearly tapered line.…”

Section: Heaviside and Early Solutionsmentioning

confidence: 99%

“…This is recognized as a form of Bessel's equation which, following Starr [42], has the general solution:…”

Section: Transformation To the "Hill" Formmentioning

confidence: 99%

“…The taper profile thus becomes: x'= Jz 0 f(x)dx=z 0 JVI/3xdx (6) For this experiment, the line was assumed to be lossless, which means that the series and shunt impedance terms in the transmission line equations simplify to jroL(x) and jroC(x). With both these assumptions the solution, in terms of voltage can be written:…”

Section: Accuracy Of the Lumped Parameter Modelmentioning

confidence: 99%

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Tapered radio frequency transmission lines

Matarrese¹

2000

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There are other academic disciplines at work here, however. The mathematician, for instance, will enjoy all the mathematical effort which is required to obtain the results of this paper, particularly those of the third chapter. The historian will appreciate the portrait of the early days of communication electronics shown through the references to Heaviside, Carson, Collin, and some of the other "fathers" of the industry, in the second chapter. The test and measurement engineer will take keen interest in the fourth and fifth chapters, which present an overview of design constraints for a tapered transmission line and describe the efforts to measure the performance of a sample line. The breadth of coverage of this project has made the work challenging and rewarding.Special mention must be made of the many people who contributed to this paper.First and foremost, loving thanks to my wife, Robbi, for all the support and hard work, often performing the duties of two parents while I was laboring over the project. Thanks also go to Ed Wardzala, Laudie Doubrava, Bill Schell, and many others at Tektronix for their help, and to Tony Tovar, fellow student at PSU, for his assistance with this paper.

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Section: Heaviside and Early Solutionsmentioning

confidence: 99%

“…This is recognized as a form of Bessel's equation which, following Starr [42], has the general solution:…”

Section: Transformation To the "Hill" Formmentioning

confidence: 99%

Section: Accuracy Of the Lumped Parameter Modelmentioning

confidence: 99%

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Tapered radio frequency transmission lines

Matarrese¹

2000

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“…where the expression for E as given by (10) has been used. The solutions of these equations are (14) and…”

Section: Ill Solutio:'ii Of the Transmission Line Equationsmentioning

confidence: 99%

The Nonuniform Transmission Line as a Broadband Termination

Jacobs¹

1958

Bell System Technical Journal

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The problem of obtaining a broadband microwave termination is coneidered from the point uf view of nonuniform transmission line theory. Attention is restricted to lines in which only the distributed shunt admittance may be varied. An optimization argument is presented which leads to the consideration of a line in which the fractional increase in admittance per wavelength in the line is constant. The nonuniform transmission line equations are solved exactly [or this case, and the results are expressed in terms of readily interpretable elementary [unction», It is shown that a find geometrical length of line can lead to an arbitrarily large effective length without destroying the match at the input. The introduction of a small loss term makes the line almost totally absorbing regardless of its termination.The line has a long-wavelength cutoff given by 4' 11" times the actual length of the line. If the line is short-circuited at its far end, a return loss of greater than 11.4 db is obtained at all frequencies above twice the cutoff frequency. The effect of certain practical limitations on the performance of this line is also discussed.

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“…Then Arnold and Taylor (1932) extended the treatment of this last case by allowing the series resistance and the series inductance to vary linearly with distance at dif-15 ~~™~ ferent rates. Finally, Starr (1932) Nomenclature and Symbolism. --Consider the general transmission line indicated in Fig.…”

Section: -mentioning

confidence: 99%

An Investigation of the Resonant Properties of Short Exponentially and Linearly Tapered Lines

Donaldson¹

1958

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In presenting the dissertation as a partial fulfillment of the requirements for an advanced degree from the Georgia Institute of Technology, I agree that the library of the Institution shall make it available for inspection and circulation in accordance with its regulations governing materials of this type. I agree that permission to copy from, or to publish from, this dissertation may be grafted by the professor under whose direction it was written, or, in his absence, by the Dean of the Graduate Division when such copying or publication is solely for scholarly purposes and does not involve potential financial gain. It is understood that any copying from, or publication of, this dissertation which involves potential financial gain will not be allowed without written permission, SUI

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The Nonuniform Transmission Line

Cited by 31 publications

References 2 publications

Tapered radio frequency transmission lines

Tapered radio frequency transmission lines

The Nonuniform Transmission Line as a Broadband Termination

An Investigation of the Resonant Properties of Short Exponentially and Linearly Tapered Lines

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