ABSTRACT

This chapter applies the general dispersion relations for the dielectric constant to discuss the energy loss by a ultrarelativistic charged particle when it passes through a dielectric medium. The interaction between a charged particle and the medium is described by the macroscopic Maxwell equations. It is simplest, therefore, to start with a vacuum description and then transform to that of the medium. Large momentum transfer events must be dealt with differently, as collisions with individual electrons. The chapter discusses the energy loss by a purely magnetically charged particle (a magnetic monopole) of specific strength, when it passes through a linear, isotropic, non-magnetic medium. The calculation would be relevant for an experimental discovery of a cosmic magnetic monopole. The formula can be immediately obtained by exploiting the symmetry of Maxwell’s equations.