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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 53, Iss. 17 — Jun. 10, 2014
  • pp: 3782–3786

Axial intensity distribution analysis for a depth-of-field-extended optical system using a low-frequency binary phase mask

Tingyu Zhao, Aiping Liu, Qinxiao Liu, and Feihong Yu  »View Author Affiliations

Applied Optics, Vol. 53, Issue 17, pp. 3782-3786 (2014)

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This paper theoretically analyzes the axial intensity distribution of an optical imaging system with a low-frequency binary phase mask. Based on the derivation, a novel but simple one-step phase mask is designed to extend the depth of field. A comparison is made between the novel phase mask and the one designed in previous research [Opt. Express 14, 2631 (2006)]. Both masks are numerically tested in an achromatic doublet system. The numerical results show that two phase masks have comparable performance in depth of field extension. However, the phase mask designed in this paper has a simpler structure because it has only one step while the previous one has two. Consequently, the easy fabrication of the novel phase mask leads to cost reduction. This novel low-frequency binary phase mask provides a new choice to design depth-of-field-extended optical systems without digital image processing.

© 2014 Optical Society of America

OCIS Codes
(080.2740) Geometric optics : Geometric optical design
(170.0110) Medical optics and biotechnology : Imaging systems
(220.4830) Optical design and fabrication : Systems design
(110.1085) Imaging systems : Adaptive imaging
(110.1758) Imaging systems : Computational imaging
(110.7348) Imaging systems : Wavefront encoding

ToC Category:
Imaging Systems

Original Manuscript: March 4, 2014
Revised Manuscript: May 5, 2014
Manuscript Accepted: May 7, 2014
Published: June 10, 2014

Virtual Issues
Vol. 9, Iss. 8 Virtual Journal for Biomedical Optics

Tingyu Zhao, Aiping Liu, Qinxiao Liu, and Feihong Yu, "Axial intensity distribution analysis for a depth-of-field-extended optical system using a low-frequency binary phase mask," Appl. Opt. 53, 3782-3786 (2014)

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  1. E. R. Dowski and W. T. Cathey, “Extended depth of field through wave-front coding,” Appl. Opt. 34, 1859–1866 (1995). [CrossRef]
  2. G. Muyo, A. Singh, M. Andersson, D. Huckridge, A. Wood, and A. R. Harvey, “Infrared imaging with a wavefront-coded singlet lens,” Opt. Express 17, 21118–21123 (2009). [CrossRef]
  3. T. Zhao and F. Yu, “Point spread function analysis of a cubic phase wavefront coding system with a circular pupil,” Opt. Express 20, 2408–2419 (2012). [CrossRef]
  4. J. O. Castaneda, E. Tepichin, and A. Diaz, “Arbitrary high focal depth with a quasi optimum real and positive transmittance apodizer,” Appl. Opt. 28, 2666–2669 (1989). [CrossRef]
  5. S. Chen, Z. Fan, Z. Xu, B. Zuo, S. Wang, and H. Xiao, “Wavefront coding technique for controlling thermal defocus aberration in an infrared imaging system,” Opt. Lett. 36, 3021–3023 (2011). [CrossRef]
  6. M. Liu, L. Dong, Y. Zhao, M. Hui, and W. Jia, “Stationary phase analysis of generalized cubic phase mask wavefront coding,” Opt. Commun. 298, 67–74 (2013). [CrossRef]
  7. Q. Yang, L. Liu, and J. Sun, “Optimized phase pupil masks for extended depth of field,” Opt. Commun. 272, 56–66 (2007). [CrossRef]
  8. H. Zhao and Y. Li, “Optimized logarithmic phase masks used to generate defocus invariant modulation transfer function for wavefront coding system,” Opt. Lett. 35, 2630–2632 (2010). [CrossRef]
  9. H. Zhao and Y. Li, “Optimized sinusoidal phase mask to extend the depth of field of an incoherent imaging system,” Opt. Lett. 35, 267–269 (2010). [CrossRef]
  10. C. J. R. Sheppard, “Synthesis of filters for specified axial properties,” J. Mod. Opt. 43, 525–536 (1996). [CrossRef]
  11. A. P. Konijnenberg, L. Wei, N. Kumar, L. C. C. P. Filho, L. Cisotto, S. F. Pereira, and H. P. Urbach, “Demonstration of an optimized focal field with long focal depth and high transmission obtained with the extended Nijboer–Zernike theory,” Opt. Express 22, 311–323 (2014). [CrossRef]
  12. Y. Xu, J. Singh, and C. J. R. Sheppard, “Ultra long high resolution beam by multi-zone rotationally symmetrical complex pupil filter,” Opt. Express 15, 6409–6413 (2007). [CrossRef]
  13. F. Zhou, R. Ye, G. Li, H. Zhang, and D. Wang, “Optimized circularly symmetric phase mask to extend the depth of focus,” J. Opt. Soc. Am. A 26, 1889–1895 (2009). [CrossRef]
  14. Z. Zalevsky, A. Shemer, A. Zlotnik, E. B. Eliezer, and E. Marom, “All-optical axial super resolving imaging using a low-frequency binary-phase mask,” Opt. Express 14, 2631–2643 (2006). [CrossRef]
  15. Z. Zalevsky, S. B. Yaish, O. Yehezkel, and M. Belkin, “Thin spectacles for myopia, presbyopia and astigmatism insensitive vision,” Opt. Express 15, 10790–10803 (2007). [CrossRef]
  16. I. Raveh and Z. Zalevsky, “All-optical axially multi-regional super resolved imaging,” Opt. Express 15, 17912–17921 (2007). [CrossRef]
  17. H. Wang and F. Gan, “High focal depth with a pure-phase apodizer,” Appl. Opt. 40, 5658–5662 (2001). [CrossRef]
  18. H. Wang, C. J. R. Sheppard, K. Ravi, S. T. Ho, and G. Vienne, “Fighting against diffraction: apodization and near field diffraction structures,” Laser Photon. Rev. 6, 354–392 (2012). [CrossRef]
  19. W. D. Furlan, G. Saavedra, E. Silvestre, and M. Martinez-Corral, “On-axis irradiance for spherically aberrated optical systems with obscured rectangular apertures: a study using Wigner distribution function,” J. Mod. Opt. 45, 69–77 (1998). [CrossRef]

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