• DocumentCode
    1122373
  • Title

    A functional approach to the Luneburg´s integral for the planar Luneburg lenses design

  • Author

    Sochacki, Jacek

  • Author_Institution
    Central Laboratory of Optics, ul. Kamionkowska, Warsaw, Poland
  • Volume
    3
  • Issue
    3
  • fYear
    1985
  • fDate
    6/1/1985 12:00:00 AM
  • Firstpage
    684
  • Lastpage
    687
  • Abstract
    Close-form approximate expression for the Luneburg\´s integral is derived, which warrants an accuracy within 1.5 \\times 10^{-6} in the index profile computation for lenses with focal distances exceeding twice the lens radius. Simple integral condition for the computation accuracy controlling is evaluated.
  • Keywords
    Integral equations; Lenses; Lenses; Optical design; Optical imaging; Optical planar waveguides; Optical refraction; Optical variables control; Optical waveguide theory; Optical waveguides; Refractive index;
  • fLanguage
    English
  • Journal_Title
    Lightwave Technology, Journal of
  • Publisher
    ieee
  • ISSN
    0733-8724
  • Type

    jour

  • DOI
    10.1109/JLT.1985.1074222
  • Filename
    1074222