A single-mode model of cross-sectional method in a smoothly irregular transition between planar thin-film dielectric waveguides

Dmitriy V. Divakov; Konstantin P. Lovetskiy; Leonid A. Sevastianov; Anastasiia A. Tiutiunnik

doi:10.1117/12.2590916

4 May 2021 A single-mode model of cross-sectional method in a smoothly irregular transition between planar thin-film dielectric waveguides

Dmitriy V. Divakov, Konstantin P. Lovetskiy, Leonid A. Sevastianov, Anastasiia A. Tiutiunnik

Author Affiliations +

Proceedings Volume 11846, Saratov Fall Meeting 2020: Laser Physics, Photonic Technologies, and Molecular Modeling; 118460T (2021) https://doi.org/10.1117/12.2590916
Event: Saratov Fall Meeting 2020, 2020, Saratov, Russian Federation

Abstract

The paper considers the cross-sectional method and the small parameter method in application to the numerical solution of the problem of single-mode propagation of TE-modes in a smoothly irregular integrated optical waveguide invariant in the transverse direction. The cross-sectional method is formulated as a Helmholtz problem for a two-dimensional strip of smoothly irregular thickness. Using the Kantorovich method, the problem is reduced to a parametric problem for eigenvalues and eigenfunctions on a segment. The small parameter method is formulated as a Helmholtz problem on a two-dimensional plane, which in turn is also reduced to a parametric eigenvalue/eigenfunction problem on an axis. We implement various algorithms for the numerical solution of the resulting problems. Their coincidence high accuracy is shown with at the intersection of the definition domains.

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Dmitriy V. Divakov, Konstantin P. Lovetskiy, Leonid A. Sevastianov, and Anastasiia A. Tiutiunnik "A single-mode model of cross-sectional method in a smoothly irregular transition between planar thin-film dielectric waveguides", Proc. SPIE 11846, Saratov Fall Meeting 2020: Laser Physics, Photonic Technologies, and Molecular Modeling, 118460T (4 May 2021); https://doi.org/10.1117/12.2590916

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