A New Lattice Boltzmann Scheme for Photonic Bandgap and Defect Mode Simulation in One-Dimensional Plasma Photonic Crystals

A novel lattice Boltzmann method (LBM) with a pseudo-equilibrium potential is proposed for electromagnetic wave propagation in one-dimensional (1D) plasma photonic crystals. The final form of the LBM incorporates dispersive effect media equilibrium distribution functions. consistency between scheme and Maxwell’s equations was rigorously proven based on Chapman–Enskog expansion technique. Based scheme, we investigated effects thickness relative dielectric constant defect layer EM modes 1D We have illustrated that several can be tuned to appear within bandgaps. Both frequency number could by changing modes. These strategies would assist design narrowband filters.