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

Shijie, 李世杰 Li; Qiang, 陈强 Chen; Gaofeng, 吴高峰 Wu; Lianghong, 李良红 Li; Linhan, 鲜林翰 Xian

doi:10.3788/hplpb20112312.3163

“…Because of rotational asymmetry of free-form surfaces, phase distribution on CGH surface and discrete sampling points don't have rotational symmetry, either. As a result, we have to realize the calculation with 3-dimension coordinates but 2-dimension coordinates 8 .…”

Section: Discrete Phase Calculation Of Cgh Planementioning

confidence: 99%

“…Each surface piece has 16 control points for 3 order parameter polynomial. It can be described as follow: (8) Where ω i,j , i = 0,1,2,…m, j = 0,1,2,…n, means the power of each control point. d i,j shows every control point.…”

Section: Phase Function Interpolation Of Discrete Phase In Cgh Planementioning

confidence: 99%

Computer generated holograms design in null testing of optical freeform surfaces

Huang

¹

,

Ma

²

,

Zhu

³

et al. 2013

SPIE Proceedings

1

0

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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. Due to the geometrical complexity and optical particularity of optical freeform surfaces, there is, as yet, a lack of precision freeform surfaces testing. Computer generated hologram (CGH) null testing method are discussed in this paper to test the optical freeform surfaces such as off-axis aspheric surfaces. CGH design based on ray tracing and NURBS interpolation are included. Simuation in Zemax is given to verify the result of calculation. The alignment and fiducial sections are added to the CGH to lead the alignment of the freeform surface and CGH with sixdimensional adjustment. The CGH was designed and fabricated to test an off-axis aspheric with Fizeau configuration.

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“…Because of Rotational asymmetry of free-form surfaces, phase distribution on CGH surface and discrete sampling points don't have rotational symmetry, either. As a result, we have to realize the calculation with 3-dimension coordinates but 2-dimension coordinates [11,13] .…”

Section: Discrete Phase Calculation Of Cgh Surfacesmentioning

confidence: 99%

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

Huang

¹

,

Zhu

²

,

Ma

³

et al. 2013

AMR

0

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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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A practical method for determining the accuracy of computer-generated holograms for off-axis aspheric surfaces

Li

¹

,

Liu

²

,

Tian

³

et al. 2016

Optics and Lasers in Engineering

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

Cited by 4 publications

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Computer generated holograms design in null testing of optical freeform surfaces

Computer generated holograms design in null testing of optical freeform surfaces

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

A practical method for determining the accuracy of computer-generated holograms for off-axis aspheric surfaces

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