Title :
An improved finite-difference vector beam propagation formulation for graded-index waveguides
Author :
Yip, G.L. ; Noutsios, P.C.
Author_Institution :
Dept. of Electr. Eng., McGill Univ., Montreal, Que., Canada
fDate :
4/1/1994 12:00:00 AM
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 Hehmholtz 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.<>
Keywords :
directional couplers; finite difference methods; gradient index optics; optical couplers; optical waveguide theory; optical waveguides; Fresnel operator; TM mode propagation constants; coupling lengths; finite-difference vector beam propagation formulation; graded-index waveguides; refractive index; single-mode planar guides; vector Hehmholtz equation; vertical directional coupler; Design optimization; Directional couplers; Electromagnetic waveguides; Equations; Fast Fourier transforms; Finite difference methods; Propagation constant; Refractive index; Tellurium;
Journal_Title :
Photonics Technology Letters, IEEE
