Improved finite-difference vector beam propagation formulation for graded-index waveguides
Abstract
An improved finite-difference vector beam propagation formulation for graded-index waveguides is presented. The modification over the existing version involves a more accurate representation of the Fresnel operator in finite-difference form that accounts for the gradient of the refractive index in the vector Helmholtz equation. The modified scheme is assessed by calculating the TM mode propagation constants of single-mode planar guides that yield better agreement to the exact values over the existing scheme. Furthermore, the calculated coupling lengths of a vertical directional coupler show improved comparison to experimental data.
- Publication:
-
IEEE Photonics Technology Letters
- Pub Date:
- April 1994
- DOI:
- 10.1109/68.281821
- Bibcode:
- 1994IPTL....6..543Y
- Keywords:
-
- Fiber Optics;
- Finite Difference Theory;
- Gradient Index Optics;
- Light Transmission;
- Optical Waveguides;
- Refractivity;
- Fast Fourier Transformations;
- Helmholtz Equations;
- Mathematical Models;
- Optical Coupling;
- Communications and Radar