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We reveal the nature of propagation and reflection of light in Weyl metalswith broken time reversal symmetry, whose electromagnetic properties aredescribed by axion electrodynamics. These Weyl metals turn out to play the roleof a chiral prism: An incident monochromatic wave can split into three wavespropagating with different wave numbers, depending on its chirality andpolarization (right $\&$ left circular polarizations and linear polarizationalong the propagating direction). The helicity of the propagating/reflectedlight is determined by $\textbf{B}_{ext}$ and $\textbf{E}_{light}$, where$\textbf{B}_{ext}$ is the gradient of the $\theta-$field in the axion termgiven by the applied magnetic field and $\textbf{E}_{light}$ is theelectric-field component of the incident light. This implies that the directionof the external magnetic field controls the Faraday/Kerr rotation. Inparticular, we find that the linear polarization of the oscillating electricfield along the propagating direction, which cannot occur in conventionalmetals, arises when Weyl nodes are aligned along the oscillating magneticfield. We evaluate both transmission/reflection coefficients and Faraday/Kerrrotation angles as a function of both an external magnetic field and frequencyfor various configurations of light propagation. We propose their strongmagnetic-field dependencies as one of the fingerprints of the axionelectrodynamics.

Transmission/reflection coefficients and Faraday/Kerr rotations as a function of applied magnetic fields in spin-orbit coupled Dirac metals