Photonic-crystal time-domain simulations using Wannier functions.

Area of Science:

• Photonics
• Computational Electromagnetics
• Materials Science

Background:

• Photonic-crystal integrated optical circuits are crucial for advanced optical systems.
• Existing simulation methods face challenges with large-scale system analysis.
• Efficient design tools are needed for complex photonic devices.

Purpose of the Study:

• To introduce a novel Wannier-function-based time-domain method for simulating photonic-crystal integrated optical circuits.
• To present a computational approach that allows flexible trade-offs between CPU time and memory consumption.
• To demonstrate the method's suitability for analyzing large-scale photonic systems.

Main Methods:

• Development of a time-domain simulation technique utilizing Wannier functions.
• Implementation of a computational framework enabling adjustable resource allocation (CPU time vs. memory).
• Application of the method to design a photonic-crystal-based sensor.

Main Results:

• The proposed method effectively simulates photonic-crystal integrated optical circuits.
• The approach demonstrates scalability for large-scale systems by managing computational resources.
• Successful application in designing a photonic-crystal sensor incorporating a dual Mach-Zehnder-Fano interferometer.

Conclusions:

• The Wannier-function-based time-domain method offers an efficient and flexible alternative for simulating complex photonic-crystal circuits.
• This method is particularly advantageous for large-scale simulations where resource management is critical.
• The successful design of a photonic-crystal sensor validates the method's practical utility.