In this thesis, we study the optical properties in the one-dimensional plasma photonic crystals (PPCs). Two topics will be involved here. The first topic is to investigate the effective plasma frequency for the binary and ternary PPCs. The effective plasma frequency is extracted based on the calculated photonic band structure. We analyze the effective plasma frequency as a function of electron concentration, thickness of dielectric layer, and the thickness of plasma layer. We also compare the results with the effective medium theory. In the second topic, we consider the finite PPC operating at frequencies below the plasma frequency. We find that this structure can be used to design a multichannel transmission filter. The number of channels is equal to N-1, where N is number of periods. This multichannel channel is of use in the microwave applications.