Lattice Boltzmann model for photonic band gap materials

Area of Science:

• Computational physics
• Photonics
• Materials science

Background:

• Photonic band gap materials require efficient computation of band structure and defect modes.
• Existing methods often rely on macroscopic Maxwell equations, which can be computationally intensive.
• A novel approach is needed for faster and more scalable simulations.

Purpose of the Study:

• To propose an efficient technique for computing photonic band structure and defect modes.
• To introduce a method based on the lattice Boltzmann model (LBM).
• To demonstrate the advantages of LBM for photonic applications.

Main Methods:

• The study utilizes the lattice Boltzmann model, a kinetic theory-based approach.
• This method simulates virtual microscopic processes instead of solving macroscopic Maxwell equations.
• The technique is designed for massively parallel computation.

Main Results:

• The lattice Boltzmann model provides an efficient technique for calculating photonic band structure.
• The method accurately computes defect modes within photonic structures.
• It offers significant speed and convenience compared to traditional methods.

Conclusions:

• The lattice Boltzmann model presents a viable alternative methodology for photonic band gap materials.
• The technique is well-suited for massively parallel computing architectures.
• It can be extended to address general electromagnetic scattering problems using perfectly matched layers.