Accession Number:

ADA461885

Title:

Analytical Theory of Grating Couplers for Waveguide Sensing: A Perturbational Approach and Its Limitations

Descriptive Note:

Journal article

Corporate Author:

BROWN UNIV PROVIDENCE RI DIV OF APPLIED MATHEMATICS

Report Date:

2004-01-01

Pagination or Media Count:

33.0

Abstract:

The in-coupling process for grating-coupled planar optical waveguide sensors is investigated in the case of TE waves. A simple analytical model based on the Rayleigh-Fourier method is applied together with a perturbational technique to calculate analytical expressions for the guided wave amplitudes. In addition, analytical expressions are derived for the position correction and width of the in-coupling resonant peaks. Numerical computations verify the model for shallow gratings both in terms of peak shape and position and provide the limitations for the analytical formulas.

Subject Categories:

  • Numerical Mathematics
  • Operations Research
  • Atomic and Molecular Physics and Spectroscopy

Distribution Statement:

APPROVED FOR PUBLIC RELEASE