Aspheric measurement based on the curvature sensing method

Kwon, YongKwan; Kim, ByoungChang; Wang, Duck Hyun; Lee, Yun Woo; Yang, Ho‐Soon; Rhee, Hyug-Gyo

doi:10.1117/12.734117

Cited by 2 publications

(1 citation statement)

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“…[10,11] 하지만, 곡률의 기하학적 정의로부터 전체형상을 복원할 수 있는 비선형 미분방정식 식 (1)은 1차원적으로만 존재하고 있어, 1축 방향을 따라 프 로파일이 복원되는 수준에 그치고 있다. [12] (1)…”

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Free-Form Surface Reconstruction Method from Second-Derivative Data

Kim¹,

Kim²,

Kim³

2014

Korean Journal of Optics and Photonics

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We present an algorithm for surface reconstruction from the second-derivative data for free-form aspherics, which uses a subaperture scanning system that measures the local surface profile and determines the three second-derivative values at those local sampling points across the free-form surface. The three second-derivative data were integrated to get a map of x-and y-slopes, which went through a second Southwell integration step to reconstruct the surface profile. A synthetic free-form surface 200 mm in diameter was simulated. The simulation results show that the reconstruction error is 19 nm RMS residual difference. Finally, the sensitivity to noise is diagnosed for second-derivative Gaussian random noise with a signal to noise ratio (SNR) of 16, the simulation results proving that the suggested method is robust to noise.

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Section: 서 론unclassified

Free-Form Surface Reconstruction Method from Second-Derivative Data

Kim¹,

Kim²,

Kim³

2014

Korean Journal of Optics and Photonics

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Measurement of Freeform Optical Surfaces: Trade‐Off between Accuracy and Dynamic Range

Chen

Xue

Zhai

et al. 2020

Laser & Photonics Reviews

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Freeform optical surfaces are advantageous to optical designers, as they provide additional degrees of freedom for optimization. The loss of rotational symmetry, however, makes measurement of freeforms more challenging. Herein, advances in interferometric areal measurement of freeform optical surfaces, including null tests, non-null tests, near-null tests, and adaptive null tests, are reviewed. Some new developments, in the Hartmann test, deflectometry, and phase retrieval, as representatives of non-interferometric areal measurement, are then presented. Overall, the focus is on single-point-probe-based profilometry categorized into coordinate measurements and slope-or curvature-based measurements. Innovative measurement technology is trying to bridge the gap between high accuracy and high dynamic range as freeform optical surfaces are finding more applications in visible and shorter-wavelength optics.

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Aspheric measurement based on the curvature sensing method

Cited by 2 publications

References 0 publications

Free-Form Surface Reconstruction Method from Second-Derivative Data

Free-Form Surface Reconstruction Method from Second-Derivative Data

Measurement of Freeform Optical Surfaces: Trade‐Off between Accuracy and Dynamic Range

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