• DocumentCode
    1230588
  • Title

    Polynomial approximations to Bessel functions

  • Author

    Millane, R.P. ; Eads, J.L.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Univ. of Canterbury, Christchurch, New Zealand
  • Volume
    51
  • Issue
    6
  • fYear
    2003
  • fDate
    6/1/2003 12:00:00 AM
  • Firstpage
    1398
  • Lastpage
    1400
  • Abstract
    A polynomial approximation to Bessel functions that arises from an electromagnetic scattering problem is examined. The approximation is extended to Bessel functions of any integer order, and the relationship to the Taylor series is derived. Numerical calculations show that the polynomial approximation and the Taylor series truncated to the same order have similar accuracies.
  • Keywords
    Bessel functions; electromagnetic wave scattering; polynomial approximation; series (mathematics); Bessel functions; Taylor series; electromagnetic scattering; polynomial approximation; truncation; Antennas and propagation; Dipole antennas; Electromagnetic scattering; Optical diffraction; Optical scattering; Optical surface waves; Optimized production technology; Physical optics; Polynomials; Taylor series;
  • fLanguage
    English
  • Journal_Title
    Antennas and Propagation, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-926X
  • Type

    jour

  • DOI
    10.1109/TAP.2003.812234
  • Filename
    1208761