Open-geometry Fourier modal method: modeling nanophotonic structures in infinite domains

Area of Science:

• Photonics and Nanophotonics
• Computational Electromagnetics

Background:

• Accurate modeling of open nanophotonic structures is crucial for device design.
• Existing methods often face challenges with convergence and computational cost.

Purpose of the Study:

• To introduce a novel open-geometry Fourier modal method (FMM).
• To enhance the accuracy and efficiency of simulating open nanophotonic systems.

Main Methods:

• Utilizing basis functions for open boundary conditions to represent the entire space.
• Implementing an efficient k-space discretization with nonuniform sampling for radiation modes.
• Applying the method to various photonic structures.

Main Results:

• Demonstrated significantly improved convergence with respect to the number of degrees of freedom.
• Showcased the method's effectiveness across diverse photonic structures.
• Achieved higher accuracy compared to traditional FMM approaches.

Conclusions:

• The developed open-geometry FMM offers a more accurate and efficient solution for nanophotonics.
• This method has the potential to advance the design and analysis of open nanophotonic devices.
• Facilitates more reliable simulations of complex light-matter interactions.