Discrete phase calculation of computer generated hologram for off-axis aspheric surface test

作者：Li Shijie; Chen Qiang; Wu Gaofeng; Li Lianghong; Xian Linhan

来源：High Power Laser and Particle Beams, 2011, 23(12): 3163-3166.

DOI：10.3788/HPLPB20112312.3163

• Aspheric surfaces
• Calculation accuracy
• Calculation methods
• Computer generated holograms
• Discrete phase
• Geometric center
• Off-axis aspheric
• Optical axis
• Phase distribution
• Rotational symmetries
• Sample point
• Shift-and
• Three dimensional coordinate system

The phase of sample point should be calculated to design the computer generated hologram (CGH) for testing off-axis aspheric surface. The normal of the geometric center of off-axis aspheric surface was seen as the detection optical axis through shift and rotation. Then the phase distribution on off-axis aspheric surface was studied by ray tracing, and a calculation method of discrete phase was deduced, as well as the formulas for phase computation in three-dimensional coordinate system. The validity of this method is proven by calculating and comparing the phase distribution of a rotational symmetry aspheric surface. The results show that this method is correct, and the calculation accuracy can meet the requirement of CGH for off-axis aspheric surface test.

• 出版日期2011
• 单位中国科学院大学