Differential transfer matrix method for photonic band structure of one dimensional non-uniform distribution plasma photonic crystal

An approach of analytical calculation for photonic band gap structure (PBGS) of one-dimensional periodic media, such as non-uniform distribution plasma photonic crystal (PPC), is given on the basis of the recently reported differential transfer matrix method. The dispersion equation of electromagnetic wave propagating in one dimensional non-uniform distribution PPC is derived and the PBGSs for several numerical cases, such as linear distribution, exponential distribution and Epstein distribution, are calculated and discussed.