Effect of tilting phase mask on point spread function in wavefront coding system
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摘要:分析了装配误差引起的相位板倾斜对波前编码系统的影响,通过坐标变换推导了相应条件下的广义光瞳函数。结果表明:倾斜因子对系统的相位板系数具有放大效果,其随倾斜角绝对值的增大而增大,而与倾斜角的正负无关。相位板倾斜会放大系统点扩散函数包络面的两条直角边,相应地降低其光学传递函数值。在子午倾斜的条件下,子午方向的相位板系数放大效果大于弧矢方向,从而导致点扩散函数包络面在子午方向的放大效果大于弧矢方向,子午方向光学传递函数值的降低效果大于弧矢方向。采用MATLAB以及商用光学软件进行仿真实验,验证了上述结论。Abstract:Effects of the tilt of a phase mask on wavefront coding systems are analyzed and the generalized pupil function is derived by a coordinate transformation in this paper. The approximate expression shows that the tilt of the phase mask brings a magnification effect on the cubic phase mask coefficient. The effect is independent on the sign of the angle, however, it will get larger with the absolute value of the angle increases. Moreover, the tilt of the phase mask extends both the sides of the Point Spread Function(PSF) envelope and causes a decrease of Modulation Transfer Function(MTF). When the tilt is in the meridian, the magnification effect of cubic phase mask coefficient in the meridian plane is larger than that in sagittal direction, which results in larger extension of PSF and lower MTF in the sagittal direction. All above conclusions are proved by the simulation with MATLAB and optical software.
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