• DocumentCode
    1150219
  • Title

    A tanh substitution technique for the analysis of abrupt and graded interface multilayer dielectric stacks

  • Author

    Corzine, Scott W. ; Yan, R.H. ; Coldren, Larry A.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., California Univ., Santa Barbara, CA, USA
  • Volume
    27
  • Issue
    9
  • fYear
    1991
  • fDate
    9/1/1991 12:00:00 AM
  • Firstpage
    2086
  • Lastpage
    2090
  • Abstract
    The authors report a new analytical technique for estimating the peak reflectivity of lossless dielectric stacks with combinations of quarter and/or half-wave thicknesses. A simple variable substitution is used to transform the standard formula for the reflectivity of a Fabry-Perot resonator into a remarkably simplified form. The resulting expressions for reflectivity are intuitively appealing, allowing use of additive algebra to calculate the peak reflectivity of a multilayer dielectric stack
  • Keywords
    optical films; optical resonators; reflectivity; Fabry-Perot resonator; additive algebra; analytical technique; graded interface multilayer dielectric stacks; half-wave thicknesses; lossless dielectric stacks; peak reflectivity; quarter wave dielectric stack; simple variable substitution; standard formula; tanh substitution technique; Additives; Algebra; Dielectric losses; Fabry-Perot; Mirrors; Nonhomogeneous media; Optical refraction; Reflectivity;
  • fLanguage
    English
  • Journal_Title
    Quantum Electronics, IEEE Journal of
  • Publisher
    ieee
  • ISSN
    0018-9197
  • Type

    jour

  • DOI
    10.1109/3.135163
  • Filename
    135163