Tunable Gaussian mask for extending the depth of field


  • Jorge Ojeda-Castaneda University of Guanajuato, Mexico
  • Emmanuel Yépez-Vidal University of Guanajuato, Mexico
  • Eloy García-Almanza University of Guanajuato, Mexico
  • Cristina M. Gómez-Sarabia University of Guanajuato, Mexico




We present the use of two asymmetrical amplitude masks, for generating a tunable Gaussian filter. The two masks work as a pair. By introducing a lateral displacement, between the members of the pair, one can tune the width of the Gaussian filter. This tunable mask is useful for controlling unwanted oscillations in the MTFs, which are associated to the use of phase filters extending the depth of field.

Full Text: PDF

  1. G. Hauesler, "A method to increase the depth of focus by two step image processing", Opt. Commun. 6, 38 (1972).CrossRef
  2. J. Ojeda-Casta?eda, R. Ramos, A. Noyola-Isgleas, "High focal depth by apodization and digital restoration", Appl. Opt. 27, 2583 (1988).CrossRef
  3. M. Mino, Y. Okano, "Improvement in the OTF of a Defocused Optical System Through the Use of Shaded Apertures", Appl. Opt. 10, 2219 (1971).CrossRef
  4. J. Ojeda-Casta?eda, L.R. Berriel Valdos, E. L. Montes, "Line-spread function relatively insensitive to defocus", Opt. Lett. 8(8), 458 (1983).CrossRef
  5. J. Ojeda-Casta?eda, L.R. Berriel-Valdos, E. Montes, "Spatial filter for increasing the depth of focus", Opt. Lett. 10(11), 520 (1985).CrossRef
  6. J. Ojeda-Casta?eda, A. Díaz, "High focal depth by quasibifocus", Appl. Opt. 27, 4163 (1988).CrossRef
  7. J. Ojeda-Casta?eda, L.R Berriel-Valdos, E. Montes, "Ambiguity function as a design tool for high focal depth", Appl. Opt. 27(4), 790 (1988).CrossRef
  8. E.R. Dowski, T.W. Cathey, "Extended depth of field through wave-front coding", Appl. Opt. 34, 1859 (1995).CrossRef
  9. H. Wang, F. Gan, "High Focal Depth with a Pure-Phase Apodizer", Appl. Opt. 40, 5658 (2001).CrossRef
  10. N. George, W. Chi, "Extended depth of field using a logarithmic asphere", J. Opt. A: Pure Appl. Opt. 5, S157 (2003).CrossRef
  11. A. Castro, J. Ojeda-Casta?eda, "Asymmetric Phase Masks for Extended Depth of Field", Appl. Opt. 43(17), 1 (2004).CrossRef
  12. Á. Sauceda-Carvajal, J. Ojeda-Casta?eda, "High focal depth with fractional-power wave fronts", Opt. Lett. 29(6), 560 (2004).CrossRef
  13. G. Mikula, Z. Jaroszewicz, A. Kolodziejczyk, K. Petelczyc, M. Sypek, "Imaging with extended focal depth by means of lenses with radial and angular modulation", Opt. Exp. 15, 9184 (2007).CrossRef
  14. J. Ojeda-Castaneda, J.E.A. Landgrave, C.M. Gómez-Sarabia, "Conjugate phase plate use in analysis of the frequency response of imaging systems designed for extended depth of field", Appl. Opt. 47, E99 ? E105 (2008).CrossRef
  15. J. Ares García, S. Bará, M. Gomez García, Z. Jaroszewicz, A. Kolodziejczyk, K. Petelczyc, "Imaging with extended focal depth by means of the refractive light sword optical element", Opt. Exp. 16, 18371 (2008).CrossRef
  16. G. Muyo, A. Singh, M. Andersson, D. Huckridge, A. Wood, A.R. Harvey, "Infrared imaging with a wavefront-coded singlet lens", Opt. Exp. 17(23), 21118 (2009).CrossRef
  17. J. Ojeda-Casta?eda, E. Yépez-Vidal, E. García-Almanza, "Noncoherent imagery: a novel approach", Phot. Lett. Poland 2(4), 162 (2010).CrossRef
  18. H.H. Hopkins, Wave Theory of Aberrations (Oxford, 1950).
  19. K.-H. Brenner, A.W. Lohmann, J. Ojeda-Castaneda, "The ambiguity function as a polar display of the OTF", Opt. Comm. 77, 89 (1982).CrossRef

Author Biography

Jorge Ojeda-Castaneda, University of Guanajuato, Mexico

Electronics Department, Professor




How to Cite

J. Ojeda-Castaneda, E. Yépez-Vidal, E. García-Almanza, and C. M. Gómez-Sarabia, “Tunable Gaussian mask for extending the depth of field”, Photonics Lett. Pol., vol. 4, no. 3, pp. pp. 115–117, Sep. 2012.