In this paper

by means of finding the solutions of Maxwell’s equitions which have a tensor dielectric permittivity

the wave equitions were obtained in rotation dielectric under the condition of longitudinal direct current magnetic field. The concept of twin scalar quantity waves was put forward because electric waves and magnetic waves are coupled each other

and it was proved that the scalar quantity waves meet Helmholtz equition. By means of finding the solutions of Helmholtz equition in cylindrical coordinates

the expressions of the scalar quantity waves

propagation constants

eigenvalue equitions and the expressions of field components were obtained

and the rotation character was discussed in a rotation optical fiber.