Theoretical investigation into Cherenkov radiation in an anisotropic double-negative medium

Cherenkov radiation for particles traveling in an unbounded anisotropic double-negative medium is theoretically investigated to obtain the analytical expressions for the Cherenkov radiation condition, Cherenkov radiation angle and inversed Cherenkov radiation. The total radiated energy (spectral density) per unit length of path is derived by using rigorous field theory. As a specific example, the effects of loss of the anisotropic double-negative medium and the effective plasma frequency on the total radiated energy per unit length of path are also discussed. It turns out that the wave vector and time-averaged Poynting vector in an anisotropic double-negative medium are, in generally, not exactly anti-parallel, and the Cherenkov radiation angle and the total radiated energy in this case is different from that in the isotropic double-negative medium.