Numerical modeling of photonic crystal fibers using the finite element method

Даутов, Р. З.; Karchevskii, Evgenii M.

doi:10.1088/1757-899x/158/1/012029

IOP Conf. Ser.: Mater. Sci. Eng.

2016

DOI: 10.1088/1757-899x/158/1/012029

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Numerical modeling of photonic crystal fibers using the finite element method

Р. З. Даутов

Evgenii M. Karchevskii

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2017

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Numerical Modeling of Optical Fibers Using the Finite Element Method and an Exact Non-reflecting Boundary Condition

Даутов

Karchevskii

2017

Computational Methods in Applied Mathematics

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The original problem for eigenwaves of weakly guiding optical fibers formulated on the plane is reduced to a convenient for numerical solution linear parametric eigenvalue problem posed in a disk. The study of the solvability of this problem is based on the spectral theory of compact self-adjoint operators. Properties of dispersion curves are investigated for the new formulation of the problem. An efficient numerical method based on FEM approximations is developed. Error estimates for approximate solutions are derived. The rate of convergence for the presented algorithm is investigated numerically.

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Numerical Modeling of Optical Fibers Using the Finite Element Method and an Exact Non-reflecting Boundary Condition

Даутов

Karchevskii

2017

Computational Methods in Applied Mathematics

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show abstract

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Numerical modeling of photonic crystal fibers using the finite element method

Cited by 1 publication

References 8 publications

Numerical Modeling of Optical Fibers Using the Finite Element Method and an Exact Non-reflecting Boundary Condition

Numerical Modeling of Optical Fibers Using the Finite Element Method and an Exact Non-reflecting Boundary Condition

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