A Uniform Asymptotic Solution for Whispering Gallery Mode Radiation from a Cylindrically Curved Concave Conducting Surface

Keiji GOTO; Toshihide AJIKI; Toru KAWANO; Toyohiko ISHIHARA

doi:10.1093/ietele/e90-c.2.243

A Uniform Asymptotic Solution for Whispering Gallery Mode Radiation from a Cylindrically Curved Concave Conducting Surface

Keiji GOTO, Toshihide AJIKI, Toru KAWANO, Toyohiko ISHIHARA

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When a cylindrically curved concave conducting surface is terminated abruptly at the edge, the whispering gallery (WG) mode propagating toward the edge direction is radiated into the free space from the aperture plane at the edge. In this paper, by applying the new analysis method, we shall derive a uniform geometrical theory of diffraction solution (UTD) for the electric-type WG mode radiation field applicable in the transition region near the geometrical boundaries produced by the incident modal ray on the edge of the curved surface. The UTD is represented by the summation of the solution for the geometrical ray converted from the modal ray of the WG mode and the solution for the uniform edge diffracted ray scattered at the cylindrically curved edge. By comparing with the reference solution obtained numerically from the integral representation of the radiation field, we will confirm the validity and the utility of the UTD proposed in this paper.

Publication: IEICE TRANSACTIONS on Electronics Vol.E90-C No.2 pp.243-251

Publication Date: 2007/02/01

Publicized

Online ISSN: 1745-1353

DOI: 10.1093/ietele/e90-c.2.243

Type of Manuscript: Special Section PAPER (Special Section on Recent Progress in Electromagnetic Theory and Its Application)

Category: High-Frequency Asymptotic Methods

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Keiji GOTO, Toshihide AJIKI, Toru KAWANO, Toyohiko ISHIHARA, "A Uniform Asymptotic Solution for Whispering Gallery Mode Radiation from a Cylindrically Curved Concave Conducting Surface" in IEICE TRANSACTIONS on Electronics, vol. E90-C, no. 2, pp. 243-251, February 2007, doi: 10.1093/ietele/e90-c.2.243.
Abstract: When a cylindrically curved concave conducting surface is terminated abruptly at the edge, the whispering gallery (WG) mode propagating toward the edge direction is radiated into the free space from the aperture plane at the edge. In this paper, by applying the new analysis method, we shall derive a uniform geometrical theory of diffraction solution (UTD) for the electric-type WG mode radiation field applicable in the transition region near the geometrical boundaries produced by the incident modal ray on the edge of the curved surface. The UTD is represented by the summation of the solution for the geometrical ray converted from the modal ray of the WG mode and the solution for the uniform edge diffracted ray scattered at the cylindrically curved edge. By comparing with the reference solution obtained numerically from the integral representation of the radiation field, we will confirm the validity and the utility of the UTD proposed in this paper.
URL: https://globals.ieice.org/en_transactions/electronics/10.1093/ietele/e90-c.2.243/_p

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@ARTICLE{e90-c_2_243,
author={Keiji GOTO, Toshihide AJIKI, Toru KAWANO, Toyohiko ISHIHARA, },
journal={IEICE TRANSACTIONS on Electronics},
title={A Uniform Asymptotic Solution for Whispering Gallery Mode Radiation from a Cylindrically Curved Concave Conducting Surface},
year={2007},
volume={E90-C},
number={2},
pages={243-251},
abstract={When a cylindrically curved concave conducting surface is terminated abruptly at the edge, the whispering gallery (WG) mode propagating toward the edge direction is radiated into the free space from the aperture plane at the edge. In this paper, by applying the new analysis method, we shall derive a uniform geometrical theory of diffraction solution (UTD) for the electric-type WG mode radiation field applicable in the transition region near the geometrical boundaries produced by the incident modal ray on the edge of the curved surface. The UTD is represented by the summation of the solution for the geometrical ray converted from the modal ray of the WG mode and the solution for the uniform edge diffracted ray scattered at the cylindrically curved edge. By comparing with the reference solution obtained numerically from the integral representation of the radiation field, we will confirm the validity and the utility of the UTD proposed in this paper.},
keywords={},
doi={10.1093/ietele/e90-c.2.243},
ISSN={1745-1353},
month={February},}

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TY - JOUR
TI - A Uniform Asymptotic Solution for Whispering Gallery Mode Radiation from a Cylindrically Curved Concave Conducting Surface
T2 - IEICE TRANSACTIONS on Electronics
SP - 243
EP - 251
AU - Keiji GOTO
AU - Toshihide AJIKI
AU - Toru KAWANO
AU - Toyohiko ISHIHARA
PY - 2007
DO - 10.1093/ietele/e90-c.2.243
JO - IEICE TRANSACTIONS on Electronics
SN - 1745-1353
VL - E90-C
IS - 2
JA - IEICE TRANSACTIONS on Electronics
Y1 - February 2007
AB - When a cylindrically curved concave conducting surface is terminated abruptly at the edge, the whispering gallery (WG) mode propagating toward the edge direction is radiated into the free space from the aperture plane at the edge. In this paper, by applying the new analysis method, we shall derive a uniform geometrical theory of diffraction solution (UTD) for the electric-type WG mode radiation field applicable in the transition region near the geometrical boundaries produced by the incident modal ray on the edge of the curved surface. The UTD is represented by the summation of the solution for the geometrical ray converted from the modal ray of the WG mode and the solution for the uniform edge diffracted ray scattered at the cylindrically curved edge. By comparing with the reference solution obtained numerically from the integral representation of the radiation field, we will confirm the validity and the utility of the UTD proposed in this paper.
ER -