Best-Fit Spheric Surface Definition Based on Slope Asphericity for Aspheric Surface

Feng, 谢枫 Xie; Qun, 郝群 Hao; Qiudong, 朱秋东 Zhu

doi:10.3788/aos20103011.3197

Cited by 2 publications

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“…Substitution equation (10) into equation ( 9), we could get a, b, c by three equations within three unkown quantities. R coud be got either.…”

Section: Asphericity Calculation For Off-axis Surfaces Testingmentioning

confidence: 99%

“…2)The compensator was used to turn the ray direction to make light normal incidence to the surface undertest in null testing with compensation. The deviation angle between the normal of freeform surface local point and connection line of best fitting sphere center and the point reflects the compensation amount of compensator such as CGH [10] .…”

Section: Asphericity Calculation For Off-axis Surfaces Testingmentioning

confidence: 99%

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

Huang

Zhu

et al. 2013

AMR

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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.

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“…Substitution equation (10) into equation ( 9), we could get a, b, c by three equations within three unkown quantities. R coud be got either.…”

Section: Asphericity Calculation For Off-axis Surfaces Testingmentioning

confidence: 99%

Section: Asphericity Calculation For Off-axis Surfaces Testingmentioning

confidence: 99%