The state of polarization plays an important role in twisted nematic liquid crystal displays. Combined with Jones matrix and j-circle method based on Stokes vectors, a novel method is proposed for the optimization of reflective twisted nematic liquid crystal displays. The difference between the space parameters method and the present method is that by chasing the polarization state in propagation the optimum condition is obtained. The proposed method has the advantage of ease to understand and can simultaneously optimize several parameters. The new optimal displays modes are found.