Cherenkov radiation by the charged particle moving in moving Hermitian medium

Detailed theoretical investigation and computer calculations on the Cherenkov radiation (CR) in moving Hermitian medium (CRMH) are presented in this paper. It has been found that, similar to that in stationary Hermitian medium (CRH) case, there are two modes in the CRMH; in general, only one of them is radiative mode, another one is local field, and the comparison of the two modes is given in the paper. The small absorption of CRMH mainly results in the Gaussian-like field intensity pattern. And the group velocity in the CRMH is always slower than the phase velocity in the moving HM, so the fine inner structure occurs. Comparing the behaviors of CRMH and CRH, we have found that the movement of the Hermitian medium (HM) brings significant influences on the CR, so there are some interesting characteristics of CRMH, such as in the CRMH; the radiation power of the “o” mode is much higher than that of “e” mode. And because of the relativistic Doppler effect, the frequency region where both modes are radiative becomes quite different from that for CRH.