• DocumentCode
    965130
  • 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
  • Volume
    37
  • Issue
    4
  • fYear
    1989
  • fDate
    4/1/1989 12:00:00 AM
  • Firstpage
    519
  • Lastpage
    522
  • 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;
  • fLanguage
    English
  • Journal_Title
    Antennas and Propagation, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-926X
  • Type

    jour

  • DOI
    10.1109/8.24175
  • Filename
    24175