• DocumentCode
    1840947
  • Title

    Differential method for TM-polarized Floquet-mode analysis of photonic crystal waveguides formed by circular cylinders

  • Author

    Watanabe, Koki ; Nakatake, Yoshimasa

  • Author_Institution
    Dept. of Inf. & Commun. Eng., Fukuoka Inst. of Technol., Fukuoka, Japan
  • fYear
    2009
  • fDate
    14-16 Dec. 2009
  • Firstpage
    1
  • Lastpage
    4
  • Abstract
    The TM-polarized Floquet-modes propagating in a photonic crystal waveguides formed by circular cylinders are formulated based on the differential theory with the scattering-matrix propagation algorithm. The present formulation does not introduce the staircase approximation, which is widely used in the rigorous coupled-wave algorithm (or Fourier modal method), and follows Li´s Fourier factorization rules by using Fourier factorization with the complex polarization bases. The guided Floquet-modes are obtained by solving the dispersion equation numerically.
  • Keywords
    S-matrix theory; dispersion (wave); electromagnetic wave propagation; optical waveguide theory; photonic crystals; Fourier modal method; TM-polarized Floquet-mode analysis; circular cylinders; differential theory; dispersion equation; photonic crystal waveguides; rigorous coupled-wave algorithm; scattering-matrix propagation algorithm;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Applied Electromagnetics Conference (AEMC), 2009
  • Conference_Location
    Kolkata
  • Print_ISBN
    978-1-4244-4818-0
  • Electronic_ISBN
    978-1-4244-4819-7
  • Type

    conf

  • DOI
    10.1109/AEMC.2009.5430650
  • Filename
    5430650