Calculation of optical-waveguide grating characteristics using Green's functions and Dyson's equation
- Authors:
- DOI:
- 10.1103/PhysRevE.74.036616
- Abstract:
- We present a method for calculating the transmission spectra, dispersion, and time delay characteristics of optical-waveguide gratings based on Green's functions and Dyson's equation. Starting from the wave equation for transverse electric modes we show that the method can solve exactly both the problems of coupling of counterpropagating waves (Bragg gratings) and co-propagating waves (long-period gratings). In both cases the method applies for gratings with arbitrary dielectric modulation, including all kinds of chirp and apodization and possibly also imperfections in the dielectric modulation profile of the grating. Numerically, the method scales as O(N) where N is the number of points used to discretize the grating along the propagation axis. We consider optical fiber gratings although the method applies to all one-dimensional (1D) optical waveguide gratings including high-index contrast gratings and 1D photonic crystals.
- Type:
- Journal article
- Language:
- English
- Published in:
- Physical Review E (statistical, Nonlinear, and Soft Matter Physics), 2006, Vol 74, Issue 3
- Keywords:
- DESIGN; GENERALIZED FIELD PROPAGATOR; INVERSE SCATTERING; FILTERS; FIBER BRAGG GRATINGS; MARCHENKO COUPLED EQUATIONS; ITERATIVE SOLUTION
- Main Research Area:
- Science/technology
- Publication Status:
- Published
- Review type:
- Peer Review
- Submission year:
- 2006
- Scientific Level:
- Scientific
- ID:
- 8099278
0000-0001-7936-6264
