Analysis of Spatially Doped Fused Silica Fiber Optic by Means of a Hamiltonian Formulation of the Helmholtz Equation
This paper discusses an alternative method for calculating modal parameters in optical fibers such as propagation constants, transverse distributions, and anisotropy, due to linear and nonlinear phenomena acting as perturbations caused by doped silica regions. This method is based on a Hamiltonian f...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Materials Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2018/5806947 |
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| _version_ | 1850166974575804416 |
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| author | Raúl E. Jiménez-Mejía Rodrigo Acuna Herrera Pedro Torres |
| author_facet | Raúl E. Jiménez-Mejía Rodrigo Acuna Herrera Pedro Torres |
| author_sort | Raúl E. Jiménez-Mejía |
| collection | DOAJ |
| description | This paper discusses an alternative method for calculating modal parameters in optical fibers such as propagation constants, transverse distributions, and anisotropy, due to linear and nonlinear phenomena acting as perturbations caused by doped silica regions. This method is based on a Hamiltonian formulation of the Helmholtz equation and the stationary perturbation theory, which allows a full-vectorial description of the electric field components when linear anisotropic inhomogeneities and Kerr nonlinearity are included. Linear and nonlinear parameters can be found for each propagating mode, and its accuracy has been successfully tested when compared to numerical calculations from the vector finite element method, and the results are published in the literature. This method facilitates the calculation of the spatial-distributed perturbation effects on individual electric field components for each propagating mode. |
| format | Article |
| id | doaj-art-e4d3b58b1f0e4f409e827f213c144b04 |
| institution | OA Journals |
| issn | 1687-8434 1687-8442 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Materials Science and Engineering |
| spelling | doaj-art-e4d3b58b1f0e4f409e827f213c144b042025-08-20T02:21:18ZengWileyAdvances in Materials Science and Engineering1687-84341687-84422018-01-01201810.1155/2018/58069475806947Analysis of Spatially Doped Fused Silica Fiber Optic by Means of a Hamiltonian Formulation of the Helmholtz EquationRaúl E. Jiménez-Mejía0Rodrigo Acuna Herrera1Pedro Torres2Escuela de Física, Universidad Nacional de Colombia, Medellín, ColombiaEscuela de Física, Universidad Nacional de Colombia, Medellín, ColombiaEscuela de Física, Universidad Nacional de Colombia, Medellín, ColombiaThis paper discusses an alternative method for calculating modal parameters in optical fibers such as propagation constants, transverse distributions, and anisotropy, due to linear and nonlinear phenomena acting as perturbations caused by doped silica regions. This method is based on a Hamiltonian formulation of the Helmholtz equation and the stationary perturbation theory, which allows a full-vectorial description of the electric field components when linear anisotropic inhomogeneities and Kerr nonlinearity are included. Linear and nonlinear parameters can be found for each propagating mode, and its accuracy has been successfully tested when compared to numerical calculations from the vector finite element method, and the results are published in the literature. This method facilitates the calculation of the spatial-distributed perturbation effects on individual electric field components for each propagating mode.http://dx.doi.org/10.1155/2018/5806947 |
| spellingShingle | Raúl E. Jiménez-Mejía Rodrigo Acuna Herrera Pedro Torres Analysis of Spatially Doped Fused Silica Fiber Optic by Means of a Hamiltonian Formulation of the Helmholtz Equation Advances in Materials Science and Engineering |
| title | Analysis of Spatially Doped Fused Silica Fiber Optic by Means of a Hamiltonian Formulation of the Helmholtz Equation |
| title_full | Analysis of Spatially Doped Fused Silica Fiber Optic by Means of a Hamiltonian Formulation of the Helmholtz Equation |
| title_fullStr | Analysis of Spatially Doped Fused Silica Fiber Optic by Means of a Hamiltonian Formulation of the Helmholtz Equation |
| title_full_unstemmed | Analysis of Spatially Doped Fused Silica Fiber Optic by Means of a Hamiltonian Formulation of the Helmholtz Equation |
| title_short | Analysis of Spatially Doped Fused Silica Fiber Optic by Means of a Hamiltonian Formulation of the Helmholtz Equation |
| title_sort | analysis of spatially doped fused silica fiber optic by means of a hamiltonian formulation of the helmholtz equation |
| url | http://dx.doi.org/10.1155/2018/5806947 |
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