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
fDate :
10/1/2000 12:00:00 AM
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;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
