Title :
Numerical evaluation of parabolic cylinder functions
Author :
Blanchard, J.L. ; Newman, E.H.
Author_Institution :
Dept. of Math., Ohio State Univ., Columbus, OH, USA
fDate :
4/1/1989 12:00:00 AM
Abstract :
The numerical evaluation of the parabolic cylinder functions D p(z) in two cases is described. Case I is for the argument z=xe-iπ/4, with x real, and the order p=-1/2+iy, with y real. Case II is for z arbitrary, but p an integer. These cases are of special importance in the analysis of wave scattering from a parabolic cylinder. Expressions for Dp(z) are presented which are numerically accurate and efficient
Keywords :
electromagnetic wave scattering; numerical analysis; EM wave scattering; numerical evaluation; parabolic cylinder functions; Differential equations; Engine cylinders; Mathematics; Physics; Propagation losses; Scattering; Turning;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
