Abstract
We present an analysis of numerical results illustrating the potentials of a new method for calculating guided waves in optical fibers and dispersion curves of corresponding eigenvalues. The earlier proposed finite element method is based on a special exact non-reflecting boundary condition and mathematically justified. For linear Lagrangian elements, the analysis demonstrates that the speed of convergence of the presented algorithm is quadratic, which corresponds to previously obtained theoretical estimates.
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Dautov, R.Z., Karchevskii, E.M.: Accurate Full-Vectorial Finite Element Method Combined with Exact Non-Reflecting Boundary Condition for Computing Guided Waves in Optical Fibers. Comput. Methods Appl. Math. article number: 000010151520200162 (2021). https://doi.org/10.1515/cmam-2020-0162.
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This paper has been supported by the Kazan Federal University Strategic Academic Leadership Program (“PRIORITY-2030”).
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Dautov, R.Z., Karchevskii, E.M. (2022). Accurate Simulation of Guided Waves in Optical Fibers Using Finite Element Method Combined with Exact Non-reflecting Boundary Condition. In: Badriev, I.B., Banderov, V., Lapin, S.A. (eds) Mesh Methods for Boundary-Value Problems and Applications. Lecture Notes in Computational Science and Engineering, vol 141. Springer, Cham. https://doi.org/10.1007/978-3-030-87809-2_6
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DOI: https://doi.org/10.1007/978-3-030-87809-2_6
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