Fig. 1. Scheme of the propagation from the RDHOE with a DOE and a convex lens to the output plane.

Fig. 2. Scheme of the propagation from the RDHOE with a DOE and a concave lens to the output plane.

Fig. 3. Relation between Lz and z by the developed algorithm with a convex and a concave lens and that by the traditional method when only a DOE is used.

Fig. 4. Experimental setup.

Fig. 5. Simulation and experimental results of a convex lens: (a) the desired diffraction pattern, (b) phase distribution of the DOE, (c) simulation result, and (d) experimental result.

Fig. 6. Simulation and experimental results of the traditional method: (a) phase distribution of the DOE, (b) simulation, and (c) experimental.

Fig. 7. Simulation and experimental results of a concave lens: (a) the desired diffraction pattern, (b) phase distribution of the DOE, (c) simulation, and (d) experimental.