The paper focuses on developing an adaptive algorithm for computing the eigenmodes and propagation constants of optical fibers, particularly microstructured fibers with complex geometrical features. The key points are:
Microstructured optical fibers often exhibit fine-scale features in their leaky modes, which are important for accurately capturing confinement losses. Resolving these features requires expert guidance in numerical simulations.
The authors propose an adaptive algorithm based on dual-weighted residual (DWR) error estimation to automatically detect and refine regions with high error contributions, without requiring expert input.
The algorithm is applied to the weak formulation of the eigenproblem for hybrid leaky modes, obtained by combining a finite element discretization with a perfectly matched layer (PML) to handle the outgoing nature of the modes.
The error estimator is derived theoretically, proving reliability of the adaptive process in accurately capturing the eigenvalues.
The methodology is first verified on a Bragg fiber, for which semi-analytical solutions are available, demonstrating the ability to resolve the fine-scale features.
The adaptive algorithm is then applied to three other practically important microstructured fiber designs - anti-resonant fibers, nested anti-resonant nodeless fibers, and photonic bandgap fibers. In all cases, the fine-scale features in the modes are automatically captured by the adaptive refinement.
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by Jay Gopalakr... kl. arxiv.org 03-29-2024
https://arxiv.org/pdf/2403.19485.pdfDybere Forespørgsler