The ultra slow light in a cholesteric liquid crystal given by similar Schrödinger equation

Abstract In this paper, we use Pauli matrix and Maxwell's equations to study the optical properties of the cholesteric liquid crystal. By applying matrix equation in cholesteric liquid crystal, we give the solution of similar Schrodinger equation. The solution of matrix equation shows that the elliptically polarized light can transmit at the half of the light velocity in a vacuum, and the linear polarized light is forbidden to transmit along its helical axis when the optical pitch of cholesteric liquid crystal is equal to the wavelength of the polarized light. It is also found that the linear polarized light can transmit when the light wavelength is far less than the optical pitch of cholesteric liquid crystal. Especially, the elliptically polarized light transmits at very slow wave velocity, even stop when the optical pitch of cholesteric liquid crystal is far less than light wavelength.