Coaxial-Line Discontinuities

Whinnery, J. R.; Jamieson, H.W.; Robbins, T.E.

doi:10.1109/jrproc.1944.234027

Cited by 151 publications

(33 citation statements)

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“…Replacing C 2 by CJ2 in eqn. 2 leads to the following condition for zero susceptance of a 1-port resistor when the o> 2 terms are negligibly small: and, for the shunt element, C, = ALG 1 (6) If the diameter ratio of the resistor and its outer conductor are adjusted so that R = 2V(LIC{), eqn. 6 is satisfied.…”

Section: Introductionmentioning

confidence: 99%

Coaxial 2-port resistor and its application to r.f. measurements and standards

Woods

1971

Proc. Inst. Electr. Eng. UK

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The cylindrical resistor mounted coaxially in a cylindrical outer conductor has already received considerable attention in the literature as a 1-port circuit element for terminating a coaxial line. Various methods have been described which minimise the reactance and the change of the resistance with frequency. In all cases, a compromise solution has to be adopted. These difficulties are overcome by employing a tractorial profile for the outer conductor of a cylindrical resistor or by using a conical resistor with a cylindrical outer conductor. In contrast, the cylindrical resistor as a coaxial 2-port circuit element has received little attention in spite of its application, in association with precision coaxial connectors, to radio-frequency measurements and standards. The theory of 1-port coaxial resistor design is reviewed and extended to the 2-port resistor. It is shown that the techniques previously employed to minimise the reactance and change of resistance with frequency for 1-port resistors no longer apply in the 2-port case. However, other techniques are possible which extend the frequency range over which the effective series susceptance is zero and the effective series conductance is substantially equal to the d.c. conductance. A preliminary analysis is carried out using lumped-circuit theory followed by a more rigorous treatment in terms of transmission-line theory. A comparison between the 1-port and 2-port parameters is made at all stages of the analysis, because the 1-port admittance is always equal to the sum of the series admittance and one shunt admittance of the 2-port's equivalent -n network. An outline is given of the application of 2-port resistors to the range extension of fixed immittance standards, also to checking system accuracy generally in the fields of immittance measurement and standardisation.List of symbols a = attenuation constant, Np/cm a,b = radii of inner and outer conductors of coaxial system a if a 2 , Ai, A 2 = incident waves b x , b 2 , B u B 2 = reflected waves P = phase constant for lossless coaxial line, rad/cmphase constant for lossy coaxial line discontinuity capacitance capacitance per unit length of coaxial system shunt capacitance of equivalent TT network of resistor internal capacitance of cylindrical resistor pi, rad permittivity of free space, F/m relative permittivity d.c. conductance of resistor propagation constant of lossy coaxial line formed by resistor = a + j'P renormalising reflection coefficient = (Z z -R n )J (Z z + R n ) renormalising reflection coefficient = (R n -Z z )/ length, cm inductance per unit length of coaxial system wavelength, cm angular frequency, rad/s propagation factor of lossy coaxial line formed by resistor = F c / propagation factor related to complex characteristic impedanze Z z = {(a + jp)l}( z ) d.c. resistance of resistor characteristic resistance of ideal lossless coaxial line resistance per unit length of coaxial system = 5" parameters normalised to R n and Z z , respectively surface resistivity, Q.Paper 6566 S, first received ...

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Section: Introductionmentioning

confidence: 99%

Coaxial 2-port resistor and its application to r.f. measurements and standards

Woods

1971

Proc. Inst. Electr. Eng. UK

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“…The results of some n-s measurements of typical connecting transformers, using a precision slotted line as the measuring instru:rnent, are compiled in table 1. The transformation corrections given do not n ecessarily represent average values for the particular types of commercial units listed, but rather demonstrate the typical magnitudes of these corrections.…”

Section: Typ Ical Measurement Resultsmentioning

confidence: 99%

“…For coaxial lines, h (fi g. 2) should be equal to or larger t han th e diameter of th e outer conductor [IV "When used in this sense, connectors can be readily treated as four-terminal networks and their constants defined and measured. Another accepted conven tion is to indicate the quality of a connector by the voltage standing-wave 1 Figures in brackets indicate tile literature refere nces at tile end of tllis paper. ratio (VSWR) introduced on a uniform transmission line feeding the connector when the latter is terminated in a load equal to th e characteristic impedance of the line.…”

Section: Definition Of Connector and Of Its Qualitymentioning

confidence: 99%

“…Th ese "transformation corrections" a 2 and ab' indicate th e qualit.y of the connectors. The simplest form of the corrections are given in eq (1) to (4). Th ese transformation corrections hold only for the chosen combina t ion of connector and suppl em entary line section.…”

Section: Definition Of Connector and Of Its Qualitymentioning

confidence: 99%

“…As ZOl and Z02 are assumed to be known, a 2 and ab' can be determined for use in eq (1) to (4). In addition, relationships for impedance components can be derived to show how the load impedance, R + j X, of a slotted line, for example, is determined from its measured value, R' + jX' , when the transformation corrections of its connecting transformer are known.…”

Section: As Its Slope and (-Ab' Z O I)mentioning

confidence: 99%

See 2 more Smart Citations

Coaxial radio-frequency connectors and their electrical quality

Selby¹,

Wolzien²,

Jickling³

1954

J. RES. NATL. BUR. STAN.

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The widely accepted manner of evaluat in g t he quality of coaxia l radio-freque ncy connectors was in the past limited to a single case, namely, to the condition when t he load terminating t he syste m was equal to t he characteristic impedance of t he li ne on the output eJld of t he connector. The quality was exp ressed as the voltage stan d ing-wave ratio in t he input line.To broaden this method of e valuat ion a "co nnector " is redefined, and seve ral methods are given to find t he correct ions of various types of connectors wi t h any terminat ion. Typical results of measureme nts made by t hese methods are give n for frequencies from 100 to 900 megacycles. Application of t h ese me thods are also indicated in determining t he quality of t ransm issio n lines in ge ne ral.

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