Skip to main content

Aberration Analysis for the Computing Optical Design Method

  • Conference paper
  • First Online:
  • 1219 Accesses

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 192))

Abstract

Traditional imaging methods often separate the two technical procedures of optical system design and imaging processing, where the lens subsystem is firstly optimized using an optical measure of performance and the image processing subsystem is optimized subsequently, resulting in the failures in efficient cooperation between the optical and digital elements and missing of the optimal solution. Therefore, an innovative approach is presented to combine optical system design and image processing together to obtain high resolution images from the final system. In this paper, the theoretical foundations for this computing optical design method is analyzed by considering the modulation transfer functions (MTF) and aberrations. According to the wave aberration theory and Zernicke formula, the relationship between the point spread function (PSF) and a certain monochromatic aberration can be obtained. Fourier transformation is taken on these PSFs and then modulus value calculation is adopted to get the MTFs. By analyzing the MTFs of idealized optical systems, the influence of each monochromatic aberration on the image can be concluded. Note that some of the MTFs values have zeros and others do not. Considering that imaging processing algorithm cannot recover the information lost at such zeros, thus some aberrations can be easily corrected through imaging processing algorithm, while others not. Aimed at a single monochromatic aberrations respectively, the optical system with single lens is designed in ZEMAX software and the relevant imaging processing algorithm is adopted. From the comparison among the final images, the theoretical foundations for the computing optical design method considering the MTF and aberrations can be verified. The compensation for aberration of imaging processing can be utilized to reduce the pressure of optical system design. The computing optical design method provides a new approach to simplify structure and reduce cost, as well as to gain high resolution images simultaneously, especially for designing certain complex optical system, which shows promising perspective of industrial application.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. Cathey W T, Dowski E R. New paradigm for imaging systems [J]. Applied optics, 41(29): 6080–6092, (2002).

    Google Scholar 

  2. Johnson G E, Macon A K, Rauker G M. Computational imaging design tools and methods [C]. Optical Science and Technology, the SPIE 49th Annual Meeting. International Society for Optics and Photonics, 284–294, (2004).

    Google Scholar 

  3. Harvey A R, Vettenburg T, Demenikov M, et al. Digital image processing as an integral component of optical design [C]. Optical Engineering + Applications. International Society for Optics and Photonics, 706104-706104-11, (2008).

    Google Scholar 

  4. Robinson M D, Stork D G. Joint design of lens systems and digital image processing [C]. Contract Proceedings 2006. International Society for Optics and Photonics, 63421G-63421G-10, (2007).

    Google Scholar 

  5. Stork D G, Robinson M D. Theoretical foundations for joint digital-optical analysis of electro-optical imaging systems [J]. Applied Optics, 47(10): B64–B75, (2008).

    Google Scholar 

  6. David Voelz, Computational fourier optics [M]. SPIE press, 2011.

    Google Scholar 

  7. Liu Jifang, Modern optics [M]. Xidian university press, 2004.

    Google Scholar 

  8. Goodman J W. Introduction to Fourier optics [M]. Roberts and Company Publishers, (2005).

    Google Scholar 

  9. Fischer R E, Tadic-Galeb B, Yoder P R, et al. Optical system design [M]. New York: McGraw Hill, (2000).

    Google Scholar 

  10. Annadurai S. Fundamentals of digital image processing [M]. Pearson Education India, (2007).

    Google Scholar 

  11. Shixian L, Lenian Z. Optical Design Manual [M]. Beijing Institute of technology Publishers, 274, (1990).

    Google Scholar 

  12. Nasonov A V, Krylov A S. Scale-space method of image ringing estimation [C]. ICIP, 2793–2796, (2009).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xiaopeng Shao .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Shao, X., Wang, J., Xu, J., Liu, J. (2017). Aberration Analysis for the Computing Optical Design Method. In: Urbach, H., Zhang, G. (eds) 3rd International Symposium of Space Optical Instruments and Applications. Springer Proceedings in Physics, vol 192. Springer, Cham. https://doi.org/10.1007/978-3-319-49184-4_18

Download citation

Publish with us

Policies and ethics