Holographic optical elements with optimized phase-transfer functions

To optimize the phase-transfer function of holographic optical elements, a semianalytical method to solve the correction phase is proposed, in which the z-directional cosine of a diffracted light ray is dealt with as an estimated constant. Numerically, the confusion circle radius has been reduced to 1/120 for a holographic laser scanner example by this method, with rapid convergence. It is clarified that, for the generalized holographic zone plate generated with two spherical waves, the hologram phase-transfer function is well optimized for a laser-beam scanner without correction.