Applied physics

, Volume 14, Issue 3, pp 235–254

Analysis and design of grating couplers

  • T. Tamir
  • S. T. Peng
Invited Papers

DOI: 10.1007/BF00882729

Cite this article as:
Tamir, T. & Peng, S.T. Appl. Phys. (1977) 14: 235. doi:10.1007/BF00882729


Based on an accurate perturbation analysis of the guiding properties of dielectric gratings, simple design criteria are developed for grating couplers which transfer the energy of a beam into or out of an optical waveguide. Gratings having arbitrary groove shapes are considered and explicit formulae are given for the leakage parameters of gratings with symmetric profiles. The results cover TEv and TMv modes and they apply to both shallow and deep grating grooves. The variation of the leakage parameter α in rectangular gratings is examined in detail; these rectangular gratings are then used as basic configurations for predicting the characteristics of other grating profiles. Particular attention is given to trapezoidal and triangular profiles and gratings with asymmetric profiles are also discussed.

PACS Codes


Copyright information

© Springer-Verlag 1977

Authors and Affiliations

  • T. Tamir
    • 1
  • S. T. Peng
    • 1
  1. 1.Department of Electrical EngineeringPolytechnic Institute of New YorkBrooklynUSA