Asphericity and Discrete Phase Calculation for Optical Freeform Surface Test with Computer Generated Holograms

Abstract:

Optical freeform surfaces are complex surfaces with non-rotational symmetry that break through the limitations of conventional optical element, and are widely used in advanced optics application for system configuration simplifying and performance enhancing. Interferometric test with computer generated holograms (CGH) has been widely used in the aspherical surfaces testing for their unique wavefront transformation, as well as the freeform surfaces testing with high precision. As an important parameter, it is different at the definition of asphericity in freeform surfaces manufacture and test. Asphericity for interferometric test which verifies the testing ability of the CGH and determines testing system initial configuration was calculated with minimum maximum angle deviation. Reverse ray tracing could get the optimal solution of CGH local phase at certain location in the CGH design. For the non-rotational symmetry of freeform surfaces, the phase of sample point in CGH surface should be calculated in three-dimensional coordinate system. The calculation method of discrete phase was deduced by ray tracing, as well as the phase distribution on freeform surface were proven by calculating in such way. The results were compared with simulation by optical design software. It shows that the method is right and high accuracy to be used in the CGH design for the freeform surfaces.

• Periodical: Advanced Materials Research (Volumes 718-720)
• Pages: 1797-1803
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.718-720.1797
• Online since: July 2013
• Authors: Ya Huang, Ri Hong Zhu, Jun Ma, Hua Shen
• Keywords: Asphericity, Computer Generated Holograms, Discrete Phase, Freeform Surfaces, Off-Axis Aspherical Surfaces

References

[1] Kevin P. Thompson, Jannick P. Rolland, Freeform optical surfaces: a revolution in imaging optical design, Optics and Photonics News. 23 (2012) 30-35.

DOI: 10.1364/opn.23.6.000030

[2] Li Rongbin, Zhang Zhihui, Du Xue, et al, Integrated Manufacturing Technology for Design, Machining and Measurement of Freeform Optics, Journal of Mechanical Engineering. 46(2010), 137-148

DOI: 10.3901/jme.2010.11.137

[3] Robert Upton, Optical control of the Advanced Technology Solar Telescope, Applied optics. 25(2006) 5881-5896.

[4] Pan Junhua. The design, manufacture and test of the aspherical optical surfaces, first ed , Suzhou University Press, Suzhou, (2004)

[5] Sha Dingguo, Quan Shuxue, Song Qiudong, Su Datu, The definition and calculation of optical Asphericity, Acta Photonica Sinica., 24(1995) 91-95.

[6] Yan Dingyao, Liu Mincai, Liu Yibin, et al, Study on asphericity of large aperture square off-axis aspherics and applications, Optical Technique, 33(2007), 595-598.

[7] Wang Quandou, Yu Jingchi, Zhang Xuejun, Zhang Zhongyu, Solution for Best Fitting Spherical CurvatureRadius and Asphericity of Off-Axis Aspherics, Opto-Eletronic Engineering. 27(2000), 16-19.

[8] Du Yujun, Ren Haixia, Liu Zhongben, The method of calculation to Asphericity of optical aspheic surface component, Journal of Applied Optics. 23(2002): 42-45

[9] Wu We, Data Processing for Measuring Circular Parts, Acta Metrologica Sinica. 7(1986), 141-144.

[10] Xie Feng, Hao Qun, Zhu Qiudong, Best-fit spheric surface definition based on slope Asphericity for aspheric surface, Acta Optica Sinica. 30(2010), 3197-3020

DOI: 10.3788/aos20103011.3197

[11] Li Shijie, Chen Qiang, Wu Gaofeng, et al, Discrete phase calculation of computer generated hologram for off-axis aspheric surface test, High Power Laser and Particle Beams. 23(2011), 3163-3166

DOI: 10.3788/hplpb20112312.3163

[12] Li Fazhi, Luo Xiao, Zhao Jingli, et al, Test of off-axis aspheric surfaces with CGH, Optics and Precision Engineering. 19(2011), 709-716

DOI: 10.3788/ope.20111904.0709

[13] Su Ping, Tan Qiaofeng, Kang Guoguo, Jin Guofan , B-Spline interpolation of scattered phase data of computer generated hologram for null test of freeform surface, Acta Optica Sinica. 30(2010), 1767-1771

DOI: 10.3788/aos20103006.1767