  A fast charged particle crossing the boundary between the chiral matter and
vacuum radiates the transition radiation. Its most remarkable features --- the
resonant behavior at a certain emission angle and the circular polarization of
the spectrum --- depend on the parameters of the chiral anomaly in a particular
material/matter. The chiral transition radiation can be used to investigate the
chiral anomaly in such diverse media as the quark-gluon plasma, the Weyl
semimetals, and the axionic dark matter.
