High-performance optical differentiation wavefront sensing towards freeform metrology.

We report the demonstration of freeform optics metrology with an optical differentiation wavefront sensor that relies on spatially dithered distributions of binary pixels to synthesize a far-field amplitude filter. Analysis of experimental results and comparison with a commercial low-coherence-length interferometer shows that freeform phase plates with different magnitude of wavefront slopes can be accurately characterized. RMS accuracy of ∼ λ/10 and precision of ∼ λ/70 at 633 nm were achieved with pixelated filters having 2.5-µm pixels. Simulations that describe the characterization of a freeform optical component in the presence of photodetection noise and filter nonlinearity demonstrate the robustness of this wavefront-sensing approach for freeform optics characterization.

[1]  Fengzhou Fang,et al.  Manufacturing and measurement of freeform optics , 2013 .

[2]  Christophe Dorrer,et al.  Design and analysis of binary beam shapers using error diffusion , 2007 .

[3]  T. Szoplik,et al.  Three filters for visualization of phase objects with large variations of phase gradients. , 2009, Applied optics.

[4]  Heejoo Choi,et al.  Adaptive interferometric null testing for unknown freeform optics metrology. , 2016, Optics letters.

[5]  H. Furuhashi,et al.  Visualization of phase objects by use of a differentiation filter. , 2003, Applied optics.

[6]  C Dorrer,et al.  Model-based optimization of near-field binary-pixelated beam shapers. , 2017, Applied optics.

[7]  J. Schwider,et al.  Algorithm for expanding the dynamic range of a Shack-Hartmann sensor by using a spatial light modulator array , 2001 .

[8]  S Y Haffert Generalised optical differentiation wavefront sensor: a sensitive high dynamic range wavefront sensor. , 2016, Optics express.

[9]  Junwon Lee,et al.  Sorting method to extend the dynamic range of the Shack-Hartmann wave-front sensor. , 2005, Applied optics.

[10]  W. Southwell Wave-front estimation from wave-front slope measurements , 1980 .

[11]  Jannick P. Rolland,et al.  Freeform Optical Surfaces: A Revolution in Imaging Optical Design , 2012 .

[12]  M. Cagigal,et al.  Analysis of the signal-to-noise ratio in the optical differentiation wavefront sensor. , 2003, Optics express.

[13]  Di Xu,et al.  Telecentric broadband objective lenses for optical coherence tomography (OCT) in the context of low uncertainty metrology of freeform optical components: from design to testing for wavefront and telecentricity. , 2019, Optics express.

[14]  J. Schwider,et al.  Dynamic range expansion of a Shack-Hartmann sensor by use of a modified unwrapping algorithm. , 1998, Optics letters.

[15]  T Szoplik,et al.  Phase-change visualization in two-dimensional phase objects with a semiderivative real filter. , 1998, Applied optics.

[16]  John C. Bortz,et al.  Wave-front sensing by optical phase differentiation , 1984 .

[17]  H. Tiziani,et al.  Limitations of the Shack-Hartmann sensor for testing optical aspherics , 2002 .

[18]  Chandra Shakher,et al.  Development of a metrology technique suitable for in situ measurement and corrective manufacturing of freeform optics , 2019 .

[19]  Stefan Sinzinger,et al.  Subaperture stitching for measurement of freeform wavefront. , 2015, Applied optics.

[20]  Vidal F. Canales,et al.  Improvements on the optical differentiation wavefront sensor , 2005 .

[21]  Heejoo Choi,et al.  Adaptive Shack-Hartmann wavefront sensor accommodating large wavefront variations. , 2018, Optics express.

[22]  Christof Pruss,et al.  Calibration of a non-null test interferometer for the measurement of aspheres and free-form surfaces. , 2014, Optics express.

[23]  Jannick P Rolland,et al.  System design of a single-shot reconfigurable null test using a spatial light modulator for freeform metrology. , 2019, Optics letters.

[24]  Takanori Nomura,et al.  Holographic Shack–Hartmann wavefront sensor based on the correlation peak displacement detection method for wavefront sensing with large dynamic range , 2015 .

[25]  Alois Herkommer Advances in the design of freeform systems for imaging and illumination applications , 2014 .

[26]  L R Graves,et al.  Infinite deflectometry enabling 2π-steradian measurement range. , 2019, Optics express.

[27]  C Dorrer,et al.  Optical differentiation wavefront sensing with binary pixelated transmission filters. , 2016, Optics express.

[28]  Jianing Yao,et al.  Point-cloud noncontact metrology of freeform optical surfaces. , 2018, Optics express.

[29]  Enrico Savio,et al.  Metrology of freeform shaped parts , 2007 .

[30]  x-y curvature wavefront sensor. , 2015, Optics letters.

[31]  F. Hénault Wavefront sensor based on varying transmission filters: theory and expected performance , 2005, physics/0510224.

[32]  FranÇois Hénault * Wavefront sensor based on varying transmission filters: theory and expected performance , 2005 .