• DocumentCode
    1152835
  • Title

    The effect of the ▿n2term on the modes of an optical square-law medium

  • Author

    Marcuse, D.

  • Author_Institution
    Bell Laboratories, Holmdel, NJ, USA
  • Volume
    9
  • Issue
    9
  • fYear
    1973
  • fDate
    9/1/1973 12:00:00 AM
  • Firstpage
    958
  • Lastpage
    960
  • Abstract
    Solutions of the mode problem of an optical waveguide with a square-law medium are usually based on the scalar wave equation. An exact derivation of the wave equation from Maxwell\´s equations results in an additional term containing the gradient \\nabla n^{2} of the square of the refractive index n . It is the purpose of this correspondence to evaluate the change of the propagation constants of the modes of the square-law medium that is caused by the \\nabla n^{2} term. We find that the change is significant only for TM modes of low order, but insignificant for all other modes of a dielectric slab with parabolic index distribution.
  • Keywords
    Electron optics; Energy exchange; Energy states; Neodymium; Optical mixing; Optical waveguides; Optimized production technology; Partial differential equations; Particle beam optics; Solids;
  • fLanguage
    English
  • Journal_Title
    Quantum Electronics, IEEE Journal of
  • Publisher
    ieee
  • ISSN
    0018-9197
  • Type

    jour

  • DOI
    10.1109/JQE.1973.1077758
  • Filename
    1077758