Resonance modes in microstructured photonic waveguides: efficient and accurate computation based on AAA rational approximation
We present a framework for the efficient and accurate computation of resonance modes in photonic waveguides. The framework is based on AAA rational approximation with the application of special light sources. It allows one to calculate only relevant modes, such as the fundamental resonance modes loc...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2025-03-01
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| Series: | Nanophotonics |
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| Online Access: | https://doi.org/10.1515/nanoph-2024-0755 |
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| _version_ | 1849700054742335488 |
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| author | Binkowski Felix Betz Fridtjof Hammerschmidt Martin Zschiedrich Lin Burger Sven |
| author_facet | Binkowski Felix Betz Fridtjof Hammerschmidt Martin Zschiedrich Lin Burger Sven |
| author_sort | Binkowski Felix |
| collection | DOAJ |
| description | We present a framework for the efficient and accurate computation of resonance modes in photonic waveguides. The framework is based on AAA rational approximation with the application of special light sources. It allows one to calculate only relevant modes, such as the fundamental resonance modes localized in the central core of the waveguides. We demonstrate the framework using an example from the literature, a hollow-core photonic crystal fiber. This waveguide supports many other modes, such as cladding modes and higher-order modes. These nonrelevant modes are not calculated, so that challenging post-processing with mode filtering is not required. |
| format | Article |
| id | doaj-art-92d4923f77204e0daee03217ec8f8c93 |
| institution | DOAJ |
| issn | 2192-8614 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Nanophotonics |
| spelling | doaj-art-92d4923f77204e0daee03217ec8f8c932025-08-20T03:18:23ZengDe GruyterNanophotonics2192-86142025-03-0114101665167110.1515/nanoph-2024-0755Resonance modes in microstructured photonic waveguides: efficient and accurate computation based on AAA rational approximationBinkowski Felix0Betz Fridtjof1Hammerschmidt Martin2Zschiedrich Lin3Burger Sven4Zuse Institute Berlin, 14195Berlin, GermanyZuse Institute Berlin, 14195Berlin, GermanyJCMwave GmbH, 14050Berlin, GermanyJCMwave GmbH, 14050Berlin, GermanyZuse Institute Berlin, 14195Berlin, GermanyWe present a framework for the efficient and accurate computation of resonance modes in photonic waveguides. The framework is based on AAA rational approximation with the application of special light sources. It allows one to calculate only relevant modes, such as the fundamental resonance modes localized in the central core of the waveguides. We demonstrate the framework using an example from the literature, a hollow-core photonic crystal fiber. This waveguide supports many other modes, such as cladding modes and higher-order modes. These nonrelevant modes are not calculated, so that challenging post-processing with mode filtering is not required.https://doi.org/10.1515/nanoph-2024-0755photonic crystal fiberfundamental modesaaa rational approximationnanostructured waveguideleaky modes |
| spellingShingle | Binkowski Felix Betz Fridtjof Hammerschmidt Martin Zschiedrich Lin Burger Sven Resonance modes in microstructured photonic waveguides: efficient and accurate computation based on AAA rational approximation Nanophotonics photonic crystal fiber fundamental modes aaa rational approximation nanostructured waveguide leaky modes |
| title | Resonance modes in microstructured photonic waveguides: efficient and accurate computation based on AAA rational approximation |
| title_full | Resonance modes in microstructured photonic waveguides: efficient and accurate computation based on AAA rational approximation |
| title_fullStr | Resonance modes in microstructured photonic waveguides: efficient and accurate computation based on AAA rational approximation |
| title_full_unstemmed | Resonance modes in microstructured photonic waveguides: efficient and accurate computation based on AAA rational approximation |
| title_short | Resonance modes in microstructured photonic waveguides: efficient and accurate computation based on AAA rational approximation |
| title_sort | resonance modes in microstructured photonic waveguides efficient and accurate computation based on aaa rational approximation |
| topic | photonic crystal fiber fundamental modes aaa rational approximation nanostructured waveguide leaky modes |
| url | https://doi.org/10.1515/nanoph-2024-0755 |
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