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arXiv · 2412.13826

Resonance modes in microstructured photonic waveguides: Efficient and accurate computation based on AAA rational approximation

Felix Binkowski·Fridtjof Betz·Martin Hammerschmidt·Lin Zschiedrich·Sven Burger
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Abstract

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.

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Felix Binkowski, Fridtjof Betz, Martin Hammerschmidt, Lin Zschiedrich, Sven Burger. 2024-12-18. Resonance modes in microstructured photonic waveguides: Efficient and accurate computation based on AAA rational approximation. https://doi.org/10.1515/nanoph-2024-0755

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