• DocumentCode
    1064274
  • Title

    Comments on the accuracy of the "Ludwig" integration algorithm

  • Author

    Ludwig, A.C.

  • Author_Institution
    Gen. Res. Corp., Santa Barbara, CA, USA
  • Volume
    36
  • Issue
    4
  • fYear
    1988
  • fDate
    4/1/1988 12:00:00 AM
  • Firstpage
    578
  • Lastpage
    579
  • Abstract
    The accuracy of the so-called Ludwig algorithm for solution of integrals arising from electromagnetic radiation problems, first reported by the author in 1968 (ibid., vol.AP-16, p.767-9, Nov. 1968), is shown to be better than results reported by others for the case of the pattern of a uniformly illuminated aperture. It is argued that the accuracy is very similar to results obtained using a Romberg-Simpson technique, and computer speed is superior if more than 4-5 sidelobes are computed. A comparison is also made with very recent results, and it is shown that the Ludwig algorithm´s accuracy is very competitive with the best results obtained with alternative techniques. The Ludwig algorithm does not exhibit the catastrophic failure shown by the alternative techniques and has the advantage of accepting data at arbitrary spacings.<>
  • Keywords
    antenna radiation patterns; electromagnetic waves; integration; Ludwig algorithm; Romberg-Simpson technique; antenna radiation patterns; catastrophic failure; electromagnetic radiation problems; integrals; uniformly illuminated aperture; Algorithm design and analysis; Apertures; Computer aided software engineering; Computer errors; Data analysis; Electromagnetic radiation; Gaussian processes; Libraries; Lighting;
  • fLanguage
    English
  • Journal_Title
    Antennas and Propagation, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-926X
  • Type

    jour

  • DOI
    10.1109/8.1150
  • Filename
    1150