Vavilov-Cherenkov radiation in a Photonic Crystal

Theoretical study and computer simulation on the Vavilov-Cherenkov radiation (VCR) in one dimensional (1D) and two dimensional (2D) photonic crystals are given in the paper. A variety of interesting and important behaviors for the VCR in a 2D photonic crystal have been revealed previously, such as the backward VCR may occur when the electron energy is lower than the threshold, etc.(Chiyan Luo, 2003). Some new important features of the VCR in photonic crystals have been observed and the physical mechanism is studied as well. The possible applications of the VCR in crystal are discussed.