Published In
Siam Journal on Scientific Computing
Document Type
Article
Publication Date
3-16-2025
Subjects
Eigenfunctions -- Mathematical and Computational Physics
Abstract
An adaptive algorithm for computing eigenmodes and propagation constants of optical fibers is proposed. The algorithm is built using a dual-weighted residual error estimator. The residuals are based on the eigensystem for leaky hybrid modes obtained from Maxwell equations truncated to a finite domain after a transformation by a perfectly matched layer. The adaptive algorithm is then applied to compute practically interesting modes for multiple fiber microstructures. Emerging microstructured optical fibers are characterized by complex geometrical features in their transverse cross section. Their leaky modes, useful for confining and propagating light in their cores, often exhibit fine-scale features. The adaptive algorithm automatically captures these features without any expert input. The results also show that confinement losses of these modes are captured accurately on the adaptively found meshes.
Rights
Copyright (c) 2025 The Authors Creative Commons License This work is licensed under a Creative Commons Attribution 4.0 International License.
Locate the Document
DOI
10.1137/24M1651605
Persistent Identifier
https://archives.pdx.edu/ds/psu/43129
Citation Details
Gopalakrishnan, J., Grosek, J., Pinochet-Soto, G., & VandenBerge, P. (2025). Adaptive Resolution of Fine Scales in Modes of Microstructured Optical Fibers. SIAM Journal on Scientific Computing, 47(1), B108–B130. https://doi.org/10.1137/24m1651605
