In this paper, a new type of light field display by combining additive and multiplicative light field displays is proposed. Combination of the two types of compressive light field displays makes the system compact, improves the light efficiency, and alleviates the diffraction effect. The system implements four physical image planes to widen the depth range. Layer image optimization algorithm suitable for the proposed system is introduced. In result, the target light field is decomposed into four different layer images. We explain the principle of the proposed system and verify its feasibility with simulation and experimental results.