DocumentCode :
1033660
Title :
Prolate spheroidal wave functions of large frequency parameters 
= 
and their applications in electromagnetic theory
= and their applications in electromagnetic theoryAuthor :
Hu, Chuan-shi
Author_Institution :
Shanyu Science & Technology Development Co., LTD, Guangdong, China
Volume :
34
Issue :
1
fYear :
1986
fDate :
1/1/1986 12:00:00 AM
Firstpage :
114
Lastpage :
119
Abstract :
Maxwell\´s equations in prolate spheroidal coordinates have been separated into three second-order differential equations. These differential equations, satisfied by 
and 
, were solved for the frequency parameter c > 10 and the separation constant m = 1, i,e., the uniform circumferential excitations. The asymptotic solutions of the equations for any positive integer m > 1 and c > 10 are given. Thereby, the radiation fields of the metallic prolate spheroid of any length excited by an arbitrary source can be calculated.
and , were solved for the frequency parameter c > 10 and the separation constant m = 1, i,e., the uniform circumferential excitations. The asymptotic solutions of the equations for any positive integer m > 1 and c > 10 are given. Thereby, the radiation fields of the metallic prolate spheroid of any length excited by an arbitrary source can be calculated.Keywords :
Electromagnetic analysis; Spherical wave functions; Antenna theory; Antennas and propagation; Data mining; Differential equations; Electromagnetic scattering; Frequency; Sea surface; Transmitting antennas; Tuned circuits; Wave functions;
fLanguage :
English
Journal_Title :
Antennas and Propagation, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-926X
Type :
jour
DOI :
10.1109/TAP.1986.1143731
Filename :
1143731
Link To Document :
