• DocumentCode
    2138147
  • Title

    A solution of the wave equation for planar gradient waveguides in a frequency domain

  • Author

    Fitio, V.M. ; Romakh, V.V. ; Bobitski, Y.V.

  • Author_Institution
    Dept. of Photonics, Lviv Polytech. Nat. Univ., Lviv, Ukraine
  • fYear
    2013
  • fDate
    9-13 Sept. 2013
  • Firstpage
    240
  • Lastpage
    242
  • Abstract
    Possibilities of a numerical method for solving the wave equation of gradient planar waveguides are studied. The method is based on both the Fourier transform application and the wave equation solution in a frequency domain. Finally, a task to find propagation constants and field Fourier transforms in a discrete form is led to the eigenvalue/eigenvector problem. The new method provides high accuracy subject to the conditions of the Whittaker-Shannon sampling theorem, and it is characterized by high numerical stability.
  • Keywords
    Fourier transform optics; eigenvalues and eigenfunctions; light propagation; numerical analysis; optical planar waveguides; optical waveguide theory; wave equations; Whittaker-Shannon sampling theorem; discrete field Fourier transforms; frequency domain; numerical stability; planar gradient waveguides; propagation constants; wave equation; Accuracy; Permittivity; Transforms; Transmission line matrix methods;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Advanced Optoelectronics and Lasers (CAOL), 2013 International Conference on
  • Conference_Location
    Sudak
  • ISSN
    2160-1518
  • Print_ISBN
    978-1-4799-0016-9
  • Type

    conf

  • DOI
    10.1109/CAOL.2013.6657593
  • Filename
    6657593