Full-Vectorial Fiber Mode Solver Based on a Discrete Hankel Transform
It is crucial to be time and resource-efficient when enabling and optimizing novel applications and functionalities of optical fibers, as well as accurate computation of the vectorial field components and the corresponding propagation constants of the guided modes in optical fibers. To address these...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-10-01
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| Series: | Photonics |
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| Online Access: | https://www.mdpi.com/2304-6732/8/10/439 |
| _version_ | 1797513432284528640 |
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| author | Michael Steinke |
| author_facet | Michael Steinke |
| author_sort | Michael Steinke |
| collection | DOAJ |
| description | It is crucial to be time and resource-efficient when enabling and optimizing novel applications and functionalities of optical fibers, as well as accurate computation of the vectorial field components and the corresponding propagation constants of the guided modes in optical fibers. To address these needs, a novel full-vectorial fiber mode solver based on a discrete Hankel transform is introduced and validated here for the first time for rotationally symmetric fiber designs. It is shown that the effective refractive indices of the guided modes are computed with an absolute error of less than 10<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mrow><mo>−</mo><mn>4</mn></mrow></msup></semantics></math></inline-formula> with respect to analytical solutions of step-index and graded-index fiber designs. Computational speeds in the order of a few seconds allow to efficiently compute the relevant parameters, e.g., propagation constants and corresponding dispersion profiles, and to optimize fiber designs. |
| first_indexed | 2024-03-10T06:16:30Z |
| format | Article |
| id | doaj.art-aef1709417af4b478a23b398d63f6102 |
| institution | Directory Open Access Journal |
| issn | 2304-6732 |
| language | English |
| last_indexed | 2024-03-10T06:16:30Z |
| publishDate | 2021-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Photonics |
| spelling | doaj.art-aef1709417af4b478a23b398d63f61022023-11-22T19:41:15ZengMDPI AGPhotonics2304-67322021-10-0181043910.3390/photonics8100439Full-Vectorial Fiber Mode Solver Based on a Discrete Hankel TransformMichael Steinke0Institut für Quantenoptik, Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover, GermanyIt is crucial to be time and resource-efficient when enabling and optimizing novel applications and functionalities of optical fibers, as well as accurate computation of the vectorial field components and the corresponding propagation constants of the guided modes in optical fibers. To address these needs, a novel full-vectorial fiber mode solver based on a discrete Hankel transform is introduced and validated here for the first time for rotationally symmetric fiber designs. It is shown that the effective refractive indices of the guided modes are computed with an absolute error of less than 10<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mrow><mo>−</mo><mn>4</mn></mrow></msup></semantics></math></inline-formula> with respect to analytical solutions of step-index and graded-index fiber designs. Computational speeds in the order of a few seconds allow to efficiently compute the relevant parameters, e.g., propagation constants and corresponding dispersion profiles, and to optimize fiber designs.https://www.mdpi.com/2304-6732/8/10/439optical fibersmodesdiscrete Hankel transform |
| spellingShingle | Michael Steinke Full-Vectorial Fiber Mode Solver Based on a Discrete Hankel Transform Photonics optical fibers modes discrete Hankel transform |
| title | Full-Vectorial Fiber Mode Solver Based on a Discrete Hankel Transform |
| title_full | Full-Vectorial Fiber Mode Solver Based on a Discrete Hankel Transform |
| title_fullStr | Full-Vectorial Fiber Mode Solver Based on a Discrete Hankel Transform |
| title_full_unstemmed | Full-Vectorial Fiber Mode Solver Based on a Discrete Hankel Transform |
| title_short | Full-Vectorial Fiber Mode Solver Based on a Discrete Hankel Transform |
| title_sort | full vectorial fiber mode solver based on a discrete hankel transform |
| topic | optical fibers modes discrete Hankel transform |
| url | https://www.mdpi.com/2304-6732/8/10/439 |
| work_keys_str_mv | AT michaelsteinke fullvectorialfibermodesolverbasedonadiscretehankeltransform |