Analytical Theory of Grating Couplers for Waveguide Sensing: A Perturbational Approach and Its Limitations
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 2004
- Accession Number
- ADA461885
Entities
People
- H. C. Pedersen
- J. S. Hesthaven
- L. C. Wilcox
- N. Skivesen
- P. M. Johansen
- R. Horvath
Organizations
- Brown University