Finite-Differences-Based Solvers for Wave Propagation in Dielectric Waveguides and Rings
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Simsek, Ergun. “Finite-Differences-Based Solvers for Wave Propagation in Dielectric Waveguides and Rings.” 2025 International Applied Computational Electromagnetics Society Symposium (ACES), July 2, 2025, 1–2. https://doi.org/10.23919/ACES66556.2025.11052504.
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Abstract
Dielectric waveguides and ring resonators are foundational structures in photonics, enabling applications such as optical frequency comb generation, filtering, and sensing. This work presents a complete formulation to analyze electromagnetic wave propagation in these structures, incorporating the shooting method to accurately calculate propagation constants, effective indices, and modal fields. With the help of the coupled-mode theory, we investigate the transmission spectrum of a Si3N4 waveguide coupled to a Si3N4 ring under the critical resonance condition. Our numerical results agree with the ones generated with COMSOL Multiphysics.