The theoretical properties of a composite chiral-plasma medium are dev
eloped. By using the reaction theorem for a magnetized chiroplasma, we
obtain the proof of nonreciprocity based upon the constitutive relati
onships between electromagnetic vectors-E, B, H, D. Using the Maxwell'
s equations and the proposed constitutive relations for a chiral-plasm
a medium, we derive the vectors E and H and from these equations, disp
ersion relations and E-field polarizations are based. The obtained res
ults for waves propagating parallel to the external magnetic field in
a cold magnetized chiro-plasma are compared with typical results obtai
ned for a cold plasma. For circulary polarized waves, a new mode conve
rsion is founded with the chiral effect. The chiral rotation is obtain
ed and compared with the Faraday rotation. For waves propagating acros
s the magnetic held, we found a shift of the cut-offs of ordinary and
extraordinary waves. On the lower branch of the extraordinary wave mod
e there is no bands of forbidden frequencies and the reflection point
vanishes when the chiral parameter increases.