• DocumentCode
    2702994
  • Title

    Study of eigen value equation of hyperbolic waveguide under slow wave consideration

  • Author

    Kumar, Deepak ; Pillay, Shamini ; Abdul-Rashid, H.A.

  • Author_Institution
    Fac. of Eng., Multimedia Univ., Cyberjaya, Malaysia
  • fYear
    2011
  • fDate
    17-19 Oct. 2011
  • Firstpage
    1
  • Lastpage
    5
  • Abstract
    The modal characteristics of a step-index waveguide with a hyperbolic core-cladding boundary have been studied. For the study of this new waveguide we select an elliptical coordinate system ,so that cross-sectional boundary is represented by a hyperbola .Using suitable boundary condition, and the field components,determined for a fourth order determinantal characteristic equation is obtained. The characteristic equation involve modified Mathieu functions, Mathieu functions and their derivative.
  • Keywords
    eigenvalues and eigenfunctions; optical fibre cladding; cross-sectional boundary; eigenvalue equation; elliptical coordinate system; hyperbolic core-cladding boundary; hyperbolic waveguide; modified Mathieu functions; slow wave consideration; step-index waveguide; Electrooptical waveguides; Vectors; elliptical coordinate sysyem; hyperbolic waveguide; modified mathieu functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Photonics (ICP), 2011 IEEE 2nd International Conference on
  • Conference_Location
    Kata Kinabalu
  • Print_ISBN
    978-1-61284-265-3
  • Electronic_ISBN
    978-1-61284-263-9
  • Type

    conf

  • DOI
    10.1109/ICP.2011.6106876
  • Filename
    6106876