Abstract: Using the lattice Boltzmann method, we considered  Maxwell’s equations without source terms in space. We first constructed a lattice Boltzmann model for Maxwell’s equations and performed numerical experiments. Then we compared the numerical solutions obtained by lattice Boltzmann method with those obtained by other traditional methods. The results show that the lattice Boltzmann method is an effective method for solving Maxwell’s equations.

Key words: lattice Boltzmann method, Maxwell’s equations, electromagnetic wave propagation