Study photonic crystals defect model property with quantum theory

In this paper, we have presented a quantum theory approach to study one-dimensional photonic crystals with and without defect layer. We give quantum dispersion relation, quantum transmissivity, reflectivity and absorptivity, and compare them with the classical dispersion relation, transmissivity, reflectivity and absorptivity. By the calculation, we find that the classical and quantum dispersion relation, transmissivity reflectivity and absorptivity are identical. With the quantum theory new approach, we can study two-dimensional and three-dimensional photonic crystals in the future.