The birefringence behaviors of absorption, reflection and transmission of a light pulse are investigated in a four-level birefringent atomic medium under Kerr nonlinearity. The transmission, reflection and absorption split into birefringent beams through the medium. The sum of the real parts of the birefringent transmission, reflection and absorption coefficients are found to be equal to unity while the sum of the corresponding imaginary parts is zero. These coefficients are normalized as
. The event cloaking is noticed in the absorption, reflection and transmission birefringent spectra. Our results can significantly contribute to the realization of the data hiding theory.