Higher-order incidence transfer matrix method used in three-dimensional photonic crystal coupled-resonator array...

Area of Science:

• Photonics and optical physics.
• Computational physics and materials science.

Background:

• Photonic crystals offer unique light manipulation properties.
• Simulating complex 3D photonic crystal devices requires efficient computational methods.

Purpose of the Study:

• To propose an efficient computational approach for simulating 3D photonic crystal devices.
• To investigate the optical properties of resonant cavity arrays in a woodpile photonic crystal.

Main Methods:

• Development of a plane-wave-based transfer matrix method incorporating rational function interpolation.
• Application of higher-order plane-wave incidence for enhanced accuracy.
• Calculation of dispersion relations and quality factors for specific photonic crystal structures.

Main Results:

• The proposed method provides an efficient approach for simulating 3D photonic crystal devices.
• Dispersion relations and quality factors were successfully calculated for resonant cavity arrays in a woodpile photonic crystal.
• Observation of ultraslow negative group velocity in the studied structure.

Conclusions:

• The developed transfer matrix method is effective for simulating complex 3D photonic crystal devices.
• The observed ultraslow negative group velocity highlights unique wave propagation phenomena in engineered photonic structures.
• This work contributes to the advancement of computational tools for photonic device design and analysis.