Study of Jones Matrix of The Birefringent Crystal

Eigen optical wave vector being as basic vector, the general Jones matrix of the birefringent crystal is derived according to the transmitting theory of light in the crystal. The Jones matrices of the crystal with linear, circular and elliptical eigen optical wave are analyzed and discussed. The conditions are given in this paper, in which the crystal becomes the wave plate, the optical activity crystal or others. For emergent light's polarization state a new method is adopted by the ellipsoid rate angle and azimuth angle. It provides theory bases for the application of the birefringent crystals.