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Adaptive meshing strategies for nanophotonics using a posteriori error estimation.
Optics Express
|November 14, 2024
Summary
Adaptive mesh refinement speeds up nanophotonic device simulations by reducing computational cost and memory usage. Careful implementation is needed to avoid mesh propagation issues for successful application.
Area of Science:
- Computational physics and engineering
- Nanophotonics and optical device design
- Numerical simulation methods
Background:
- Nanophotonic device complexity necessitates advanced simulation techniques.
- Computational expense of traditional simulations hinders optimization and inverse design.
- Finite-element method (FEM) is a common simulation approach.
Purpose of the Study:
- To investigate adaptive mesh refinement (AMR) for FEM simulations of nanophotonic devices.
- To assess the efficiency and accuracy improvements offered by AMR.
- To identify potential challenges in applying AMR to complex structures.
Main Methods:
- Utilized an a posteriori error estimation method for adaptive meshing.
- Applied FEM simulations to complex three-dimensional nanophotonic structures.
- Analyzed convergence rates and memory footprint with and without AMR.
Main Results:
- Adaptive meshing demonstrated faster convergence for complex 3D nanophotonic structures.
- AMR resulted in a lower memory footprint compared to traditional meshing.
- A potential mesh propagation effect was identified as a critical factor for successful AMR.
Conclusions:
- Adaptive mesh refinement is a viable strategy for accelerating nanophotonic device simulations.
- AMR offers significant computational advantages in terms of speed and memory.
- Careful handling of mesh propagation is crucial for reliable AMR implementation.
