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Paper Abstract and Keywords
Presentation 2010-11-11 14:35
On the exact solution of Hallen's integral equation
Takashi Katagi, Hiroyuki Ohmine, Hiroaki Miyashita (Mitsubishi Electric Corp.) AP2010-105
Abstract (in Japanese) (See Japanese page) 
(in English) Hallén’s integral equation is widely used to calculate the self impedance of dipole antennas. To solve it, numerical methods such as moment method, variational method and iterative method, are commonly used. The problem is that Hallén’s integral equation with approximate kernel has no solution. In this report, direct method to solve an integral equation using matrix derived from the kernel is proposed. A modification function which converts the approximate kernel to the exact kernel is derived. As the modification function diverges, a 3 points correction method which alters values of 3 points in a row of the matrix including the diverging point is proposed. Another problem is that there is no solution for a function source. Using the solution of offset feed by a function source, a problem with a finite feeding gap source is solved. Comparing the calculated result and the measured result, the validity of this theory is confirmed.
Keyword (in Japanese) (See Japanese page) 
(in English) dipole antenna / self-impedance / Hallén’s integral equation / exact kernel / feeding gap / / /  
Reference Info. IEICE Tech. Rep., vol. 110, no. 267, AP2010-105, pp. 75-80, Nov. 2010.
Paper # AP2010-105 
Date of Issue 2010-11-03 (AP) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
Copyright
and
reproduction		 All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF AP2010-105

Conference Information
Committee AP RCS  
Conference Date 2010-11-10 - 2010-11-12 
Place (in Japanese) (See Japanese page) 
Place (in English) Fukui Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English) AP, RCS 
Paper Information
Registration To AP 
Conference Code 2010-11-AP-RCS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) On the exact solution of Hallen's integral equation 
Sub Title (in English)  
Keyword(1) dipole antenna  
Keyword(2) self-impedance  
Keyword(3) Hallén’s integral equation  
Keyword(4) exact kernel  
Keyword(5) feeding gap  
Keyword(6)  
Keyword(7)  
Keyword(8)  
1st Author's Name Takashi Katagi  
1st Author's Affiliation Mitsubishi Electric Corporation (Mitsubishi Electric Corp.)
2nd Author's Name Hiroyuki Ohmine  
2nd Author's Affiliation Mitsubishi Electric Corporation (Mitsubishi Electric Corp.)
3rd Author's Name Hiroaki Miyashita  
3rd Author's Affiliation Mitsubishi Electric Corporation (Mitsubishi Electric Corp.)
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Speaker Author-1 
Date Time 2010-11-11 14:35:00 
Presentation Time 25 minutes 
Registration for AP 
Paper # AP2010-105 
Volume (vol) vol.110 
Number (no) no.267 
Page pp.75-80 
#Pages 6 
Date of Issue 2010-11-03 (AP) 

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