IEICE TRANSACTIONS on Electronics
Radiation Impedance of a Thin Straight Antenna Derived from Hallen's Equation by the Circuit-Theoretical Method
Summary :
Extending the domain of the vector potential in the so-called Hallen's equation, four unknown constants are determined to satisfy the boundary conditions in the same way as the circuit theory, where the vector potential plays the leading role, from which the current density and the current itself are derived. Vanishing of the current density just outside the ends of the antenna is required. For a tube-shaped antenna with walls of infinitesimal thickness, further the current just inside the ends of the antenna should vanish, as a result, the current distribution becomes sinusoidal. Adoption of either the surface current distribution or axial current distribution incurs a crucial effect on the value of the currents calculated from the vector potential. The numerical results of the radiation impedance of a hslf-wave antenna show a tendency of consistency with that relatively newly obtained by employing the exact kernel. The problem on the nonsolvability of Hallen's equation is cleared up. Comments are given on the moment method in relation to the boundary value problems to recommend to add two more undecided constants to Hallen's equation.
- Publication
- IEICE TRANSACTIONS on Electronics Vol.E89-C No.1 pp.80-87
- Publication Date
- 2006/01/01
- Publicized
- Online ISSN
- 1745-1353
- DOI
- 10.1093/ietele/e89-c.1.80
- Type of Manuscript
- PAPER
- Category
- Electromagnetic Theory
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Keyword
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Akira YOKOYAMA, "Radiation Impedance of a Thin Straight Antenna Derived from Hallen's Equation by the Circuit-Theoretical Method" in IEICE TRANSACTIONS on Electronics,
vol. E89-C, no. 1, pp. 80-87, January 2006, doi: 10.1093/ietele/e89-c.1.80.
Abstract: Extending the domain of the vector potential in the so-called Hallen's equation, four unknown constants are determined to satisfy the boundary conditions in the same way as the circuit theory, where the vector potential plays the leading role, from which the current density and the current itself are derived. Vanishing of the current density just outside the ends of the antenna is required. For a tube-shaped antenna with walls of infinitesimal thickness, further the current just inside the ends of the antenna should vanish, as a result, the current distribution becomes sinusoidal. Adoption of either the surface current distribution or axial current distribution incurs a crucial effect on the value of the currents calculated from the vector potential. The numerical results of the radiation impedance of a hslf-wave antenna show a tendency of consistency with that relatively newly obtained by employing the exact kernel. The problem on the nonsolvability of Hallen's equation is cleared up. Comments are given on the moment method in relation to the boundary value problems to recommend to add two more undecided constants to Hallen's equation.
URL: https://global.ieice.org/en_transactions/electronics/10.1093/ietele/e89-c.1.80/_p
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@ARTICLE{e89-c_1_80,
author={Akira YOKOYAMA, },
journal={IEICE TRANSACTIONS on Electronics},
title={Radiation Impedance of a Thin Straight Antenna Derived from Hallen's Equation by the Circuit-Theoretical Method},
year={2006},
volume={E89-C},
number={1},
pages={80-87},
abstract={Extending the domain of the vector potential in the so-called Hallen's equation, four unknown constants are determined to satisfy the boundary conditions in the same way as the circuit theory, where the vector potential plays the leading role, from which the current density and the current itself are derived. Vanishing of the current density just outside the ends of the antenna is required. For a tube-shaped antenna with walls of infinitesimal thickness, further the current just inside the ends of the antenna should vanish, as a result, the current distribution becomes sinusoidal. Adoption of either the surface current distribution or axial current distribution incurs a crucial effect on the value of the currents calculated from the vector potential. The numerical results of the radiation impedance of a hslf-wave antenna show a tendency of consistency with that relatively newly obtained by employing the exact kernel. The problem on the nonsolvability of Hallen's equation is cleared up. Comments are given on the moment method in relation to the boundary value problems to recommend to add two more undecided constants to Hallen's equation.},
keywords={},
doi={10.1093/ietele/e89-c.1.80},
ISSN={1745-1353},
month={January},}
Copy
TY - JOUR
TI - Radiation Impedance of a Thin Straight Antenna Derived from Hallen's Equation by the Circuit-Theoretical Method
T2 - IEICE TRANSACTIONS on Electronics
SP - 80
EP - 87
AU - Akira YOKOYAMA
PY - 2006
DO - 10.1093/ietele/e89-c.1.80
JO - IEICE TRANSACTIONS on Electronics
SN - 1745-1353
VL - E89-C
IS - 1
JA - IEICE TRANSACTIONS on Electronics
Y1 - January 2006
AB - Extending the domain of the vector potential in the so-called Hallen's equation, four unknown constants are determined to satisfy the boundary conditions in the same way as the circuit theory, where the vector potential plays the leading role, from which the current density and the current itself are derived. Vanishing of the current density just outside the ends of the antenna is required. For a tube-shaped antenna with walls of infinitesimal thickness, further the current just inside the ends of the antenna should vanish, as a result, the current distribution becomes sinusoidal. Adoption of either the surface current distribution or axial current distribution incurs a crucial effect on the value of the currents calculated from the vector potential. The numerical results of the radiation impedance of a hslf-wave antenna show a tendency of consistency with that relatively newly obtained by employing the exact kernel. The problem on the nonsolvability of Hallen's equation is cleared up. Comments are given on the moment method in relation to the boundary value problems to recommend to add two more undecided constants to Hallen's equation.
ER -
English
