An improved finite-difference vector beam propagation formulationfor graded-index waveguides |
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Authors: | Yip GL Noutsios PC |
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Affiliation: | Dept. of Electr. Eng., McGill Univ., Montreal, Que.; |
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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 |
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