IEICE TRANSACTIONS on Electronics
Exact Solution of Propagation Constant of Cylindrical Waveguide with Finite Conductivity
Summary :
An exact solution of the propagation constant of a cylindrical waveguide has been obtained in the event of the conductivity of the waveguide-composing conductor being finite. The said analysis has been reduced to a problem to solve a transcendental equation concerning an eigenvalue of the individual modes of the in-guide electromagnetic wave, and calculation of Jn-1(z)/Jn(z) by using of Bessel function becomes necessary. With a large conductivity the absolute value of the complex number z becomes excessively large, and none of calculation method with high accuracy has been found with the aid of a computer. This paper has solved the problem by using a continued fraction for the calculation with regard to which a recurrence formula is utilized. With the TE01 wave that has conventionally been used as a millimeter-wave guide, it is cleared that it is sufficient to select the number of the calculation terms of the continued fraction to the extent of approximately 1000 in the accuracy in accordance with this calculation method. It is also cleared that the approximation solution obtained by a method of perturbation coincides with the exact solution for the conductivity σ
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- IEICE TRANSACTIONS on Electronics Vol.E78-C No.10 pp.1419-1426
- Publication Date
- 1995/10/25
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- Type of Manuscript
- Special Section PAPER (Special Issue on Electromagnetic Theory)
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Wei-Dong WANG, Minoru ABE, Toshio SEKIGUCHI, "Exact Solution of Propagation Constant of Cylindrical Waveguide with Finite Conductivity" in IEICE TRANSACTIONS on Electronics,
vol. E78-C, no. 10, pp. 1419-1426, October 1995, doi: .
Abstract: An exact solution of the propagation constant of a cylindrical waveguide has been obtained in the event of the conductivity of the waveguide-composing conductor being finite. The said analysis has been reduced to a problem to solve a transcendental equation concerning an eigenvalue of the individual modes of the in-guide electromagnetic wave, and calculation of Jn-1(z)/Jn(z) by using of Bessel function becomes necessary. With a large conductivity the absolute value of the complex number z becomes excessively large, and none of calculation method with high accuracy has been found with the aid of a computer. This paper has solved the problem by using a continued fraction for the calculation with regard to which a recurrence formula is utilized. With the TE01 wave that has conventionally been used as a millimeter-wave guide, it is cleared that it is sufficient to select the number of the calculation terms of the continued fraction to the extent of approximately 1000 in the accuracy in accordance with this calculation method. It is also cleared that the approximation solution obtained by a method of perturbation coincides with the exact solution for the conductivity σ
URL: https://global.ieice.org/en_transactions/electronics/10.1587/e78-c_10_1419/_p
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@ARTICLE{e78-c_10_1419,
author={Wei-Dong WANG, Minoru ABE, Toshio SEKIGUCHI, },
journal={IEICE TRANSACTIONS on Electronics},
title={Exact Solution of Propagation Constant of Cylindrical Waveguide with Finite Conductivity},
year={1995},
volume={E78-C},
number={10},
pages={1419-1426},
abstract={An exact solution of the propagation constant of a cylindrical waveguide has been obtained in the event of the conductivity of the waveguide-composing conductor being finite. The said analysis has been reduced to a problem to solve a transcendental equation concerning an eigenvalue of the individual modes of the in-guide electromagnetic wave, and calculation of Jn-1(z)/Jn(z) by using of Bessel function becomes necessary. With a large conductivity the absolute value of the complex number z becomes excessively large, and none of calculation method with high accuracy has been found with the aid of a computer. This paper has solved the problem by using a continued fraction for the calculation with regard to which a recurrence formula is utilized. With the TE01 wave that has conventionally been used as a millimeter-wave guide, it is cleared that it is sufficient to select the number of the calculation terms of the continued fraction to the extent of approximately 1000 in the accuracy in accordance with this calculation method. It is also cleared that the approximation solution obtained by a method of perturbation coincides with the exact solution for the conductivity σ
keywords={},
doi={},
ISSN={},
month={October},}
Copy
TY - JOUR
TI - Exact Solution of Propagation Constant of Cylindrical Waveguide with Finite Conductivity
T2 - IEICE TRANSACTIONS on Electronics
SP - 1419
EP - 1426
AU - Wei-Dong WANG
AU - Minoru ABE
AU - Toshio SEKIGUCHI
PY - 1995
DO -
JO - IEICE TRANSACTIONS on Electronics
SN -
VL - E78-C
IS - 10
JA - IEICE TRANSACTIONS on Electronics
Y1 - October 1995
AB - An exact solution of the propagation constant of a cylindrical waveguide has been obtained in the event of the conductivity of the waveguide-composing conductor being finite. The said analysis has been reduced to a problem to solve a transcendental equation concerning an eigenvalue of the individual modes of the in-guide electromagnetic wave, and calculation of Jn-1(z)/Jn(z) by using of Bessel function becomes necessary. With a large conductivity the absolute value of the complex number z becomes excessively large, and none of calculation method with high accuracy has been found with the aid of a computer. This paper has solved the problem by using a continued fraction for the calculation with regard to which a recurrence formula is utilized. With the TE01 wave that has conventionally been used as a millimeter-wave guide, it is cleared that it is sufficient to select the number of the calculation terms of the continued fraction to the extent of approximately 1000 in the accuracy in accordance with this calculation method. It is also cleared that the approximation solution obtained by a method of perturbation coincides with the exact solution for the conductivity σ
ER -
English
