Accelerating simulation of ensembles of locally differing optical structures via a Schur complement domain...

Area of Science:

• Computational physics
• Photonics
• Materials science

Background:

• Simulating optical structures requires significant computational resources.
• Designing photonic devices with specific optical properties is challenging.
• Ensembles of locally differing optical structures necessitate efficient simulation techniques.

Purpose of the Study:

• To present a novel Schur complement domain decomposition method.
• To accelerate the simulation of optical structures, particularly those with local variations.
• To apply the method for efficient design of photonic crystal waveguide splitters.

Main Methods:

• Implementation of a Schur complement domain decomposition method.
• Application to the design of a multi-spatial-mode photonic crystal waveguide splitter.
• Evaluation of simulation acceleration and design performance.

Main Results:

• The Schur complement domain decomposition method significantly accelerates simulations.
• Design acceleration exceeds a factor of 20 for the photonic crystal waveguide splitter.
• The designed splitter demonstrates high transmission and preserves modal content.

Conclusions:

• The presented method offers a substantial speedup for optical structure simulations.
• This approach enables faster and more efficient design of complex photonic devices.
• The Schur complement method is effective for optimizing photonic crystal waveguide structures.