The mathematical solution for Čerenkov radiation in a novel medium, left-handed medium (LH medium), which has both negative permittivity and permeability, is introduced in this paper. It is shown that the particle motion in the LH medium generates power that propagates backward. In this paper, both dispersion and dissipation are considered for the LH medium. The results show that in such a material, both forward power and backward power exist. In addition, we show that the losses will affect the Čerenkov angle. The idea of building a Čerenkov detector using LH medium is introduced, which could be useful in particle physics to identify charged particles of various velocities.
©2003 Optical Society of America
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