DocumentCode
1432384
Title
An accurate closed-form approximate representation for the Hankel function of the second kind
Author
Gardner, Judd ; Collin, R.E.
Author_Institution
Case Western Reserve Univ., Cleveland, OH, USA
Volume
48
Issue
10
fYear
2000
fDate
10/1/2000 12:00:00 AM
Firstpage
1699
Lastpage
1700
Abstract
A second-order asymptotic evaluation of the Hankel function is presented and its numerical evaluation for the case of large orders and large arguments is compared with the numerical results obtained using forward recursion. It is shown that the second-order results are very accurate as long as the argument is a few percent larger than the order of the function
Keywords
electromagnetic wave scattering; function approximation; integration; numerical analysis; Hankel function; Sommerfeld´s integral representation; closed-form approximate representation; electromagnetic scattering; forward recursion; integration; large arguments; large orders; numerical evaluation; second-order asymptotic evaluation; Books; Geometrical optics; Laser beams; Numerical analysis; Scattering; Taylor series;
fLanguage
English
Journal_Title
Antennas and Propagation, IEEE Transactions on
Publisher
ieee
ISSN
0018-926X
Type
jour
DOI
10.1109/8.899687
Filename
899687
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