Investigation on Compressed Wavefront Sensing in Freeform Surface Measurements

Eddy Chow Mun Tik, Xin Wang, Ningqun Guo, Ching SeongTan, Kuew Wai Chew

Abstract

In this paper, conventional modal wavefront reconstruction is compared with compressed wavefront sensing to reconstruct freeform surface profiles using the Shack-Hartmann wavefront sensor. The modal wavefront reconstruction represents the phase or the wavefront in the Zernike domain. The compressed wavefront sensing method based on the sparse Zernike representation (SPARZER) represents the phase slopes in the Zernike domain. The effectiveness of compressed wavefront sensing in freeform surface profile measurements is investigated.

References

  1. Basden, A. G., Morris, T. J., Gratadour, D. & Gendron, E., 2015. Sensitivity improvements for Shack-Hartmann wavefront sensors using total variation minimization. Monthly Notices of the Royal Astronomical Society, Volume 449, pp. 3537-3542.
  2. Candes, E. J. & Romberg, J., 2005. Quantitative Robust Uncertainty Principles and Optimally Sparse Decompositions. Classical Analysis and ODEs, pp. 1- 25.
  3. Candes, E., Romberg, J. & Tao, T., 2006. Robust Uncertaunty Principles: Exact Signal Reconstruction from Highly Incomplete Frequency Information. IEEE Transactions on Information Theory, 52(2), pp. 489- 509.
  4. Dai, G.-M., 1994. Modified Hartmann-Shack wavefront sensing and iterative wavefront reconstruction. s.l., s.n.
  5. Dalal, S., Klein, S., Barsky, B. & Corzine, J. C., 2001. Limitations to the Zernike representation of cornea and wavefront for post-refractive surgery eyes, (ARVO avstract). Investigative Ophtalmology and Visual Science, 42(4), p. S603.
  6. Donoho, D. L., 2006. Compressed Sensing. IEEE Transactions on Information Theory, 52(4), pp. 1289- 1306.
  7. Guo, W. et al., 2013. Adaptive centroid-finding algorithm for freeform surface emasurements. Applied Optics, 52(10), pp. D75-D83.
  8. Hosseini, M. & Michailovich, O. V., 2009. Derivative Compressive Sampling with Application ti Phase Unwrapping. Glasgow, s.n.
  9. Lundstrom, L. & Unsbo, P., 2004. Unwrapping HartmannShack Images from Highly Aberrated Eyes Using and Iterative B-Spline Based Extrapolation Method. Optometry and Vision Science, 18(5), pp. 383-388.
  10. Noll, R. J., 1976. Zernike polynomials and atmospheric turbulence. Optical Society of America, Volume 66, pp. 207-211.
  11. Platt, B. C. & Shack, R., 2001. History and Principles of Shack-Hartmann Wavefront Sensing. Joirnal of Regractive Surgery, Volume 17, pp. 573-577.
  12. Polans, J., McNabb, R. P., Izatt, J. A. & Farsiu, S., 2014. Compressed Wavefront Sensing. Optics Letters, 39(5), pp. 1189-1192.
  13. Rostami, M., Michailovich, O. & Wang, Z., 2012. Image Deblurring Using Derivative Compressed Sensing for Optical Imaging Application. IEEE Transactions on Image Processing, 21(7), pp. 3139-3149.
  14. Schwiegerling, J. & Neal, D. R., 2005. Historical Development of the Shack-Hartmann Wavefront Sensor. Robert Shannon and Roland Shack: Legends in Applied Optics, pp. 132-139.
  15. Yin, X., Li, X., Zhao, L. & Fang, Z., 2009. Automatic centroid detection for Shack-Hartmann Wavefront sensor. s.l., s.n.
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Paper Citation


in Harvard Style

Chow Mun Tik E., Wang X., Guo N., SeongTan C. and Chew K. (2016). Investigation on Compressed Wavefront Sensing in Freeform Surface Measurements . In Proceedings of the 4th International Conference on Photonics, Optics and Laser Technology - Volume 1: PHOTOPTICS, ISBN 978-989-758-174-8, pages 152-157. DOI: 10.5220/0005743901520157


in Bibtex Style

@conference{photoptics16,
author={Eddy Chow Mun Tik and Xin Wang and Ningqun Guo and Ching SeongTan and Kuew Wai Chew},
title={Investigation on Compressed Wavefront Sensing in Freeform Surface Measurements},
booktitle={Proceedings of the 4th International Conference on Photonics, Optics and Laser Technology - Volume 1: PHOTOPTICS,},
year={2016},
pages={152-157},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005743901520157},
isbn={978-989-758-174-8},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 4th International Conference on Photonics, Optics and Laser Technology - Volume 1: PHOTOPTICS,
TI - Investigation on Compressed Wavefront Sensing in Freeform Surface Measurements
SN - 978-989-758-174-8
AU - Chow Mun Tik E.
AU - Wang X.
AU - Guo N.
AU - SeongTan C.
AU - Chew K.
PY - 2016
SP - 152
EP - 157
DO - 10.5220/0005743901520157