Abstract

We present a numerical method for reconstructing large objects using a convolution method with an adjustable magnification. The method is based on the image locations and magnification relations of holography when the illuminating beam is a spherical wavefront. A modified version of the angular spectrum transfer function is proposed that allows the filtering in the spatial frequency spectrum. Experimental results confirm the suitability of the proposed method.

© 2009 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. Th. Kreis, M. Adams, and W. Jüptner, Proc. SPIE 3098, 224 (1997).
    [CrossRef]
  2. D. Mas, J. Perez, C. Hernandez, C. Vazquez, J. J. Miret, and C. Illueca, Opt. Commun. 227, 245 (2003).
    [CrossRef]
  3. J. C. Li, Z. Peng, and Y. Fu, Opt. Commun. 280, 243 (2007).
    [CrossRef]
  4. L. Yu and M. K. Kim, Opt. Lett. 30, 2092 (2005).
    [CrossRef] [PubMed]
  5. L. Yu and M. K. Kim, Opt. Lett. 31, 897 (2006).
    [CrossRef] [PubMed]
  6. P. Ferraro, S. De Nicola, G. Coppola, A. Finizio, D. Alfieri, and G. Pierattini, Opt. Lett. 29, 854 (2004).
    [CrossRef] [PubMed]
  7. I. Yamaguchi, T. Matsumura, and J. Kato, Opt. Lett. 27, 1108 (2002).
    [CrossRef]
  8. F. Zhang, I. Yamaguchi, and L. P. Yaroslavsky, Opt. Lett. 29, 1668 (2004).
    [CrossRef] [PubMed]
  9. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1996).
  10. I. Yamaguchi, J. Kato, S. Ohta, and J. Mizuno, Appl. Opt. 40, 6177 (2001).
    [CrossRef]
  11. P. Picart and J. Leval, J. Opt. Soc. Am. A 25, 1744 (2008).
    [CrossRef]

2008 (1)

2007 (1)

J. C. Li, Z. Peng, and Y. Fu, Opt. Commun. 280, 243 (2007).
[CrossRef]

2006 (1)

2005 (1)

2004 (2)

2003 (1)

D. Mas, J. Perez, C. Hernandez, C. Vazquez, J. J. Miret, and C. Illueca, Opt. Commun. 227, 245 (2003).
[CrossRef]

2002 (1)

2001 (1)

1997 (1)

Th. Kreis, M. Adams, and W. Jüptner, Proc. SPIE 3098, 224 (1997).
[CrossRef]

Adams, M.

Th. Kreis, M. Adams, and W. Jüptner, Proc. SPIE 3098, 224 (1997).
[CrossRef]

Alfieri, D.

Coppola, G.

De Nicola, S.

Ferraro, P.

Finizio, A.

Fu, Y.

J. C. Li, Z. Peng, and Y. Fu, Opt. Commun. 280, 243 (2007).
[CrossRef]

Goodman, J. W.

J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1996).

Hernandez, C.

D. Mas, J. Perez, C. Hernandez, C. Vazquez, J. J. Miret, and C. Illueca, Opt. Commun. 227, 245 (2003).
[CrossRef]

Illueca, C.

D. Mas, J. Perez, C. Hernandez, C. Vazquez, J. J. Miret, and C. Illueca, Opt. Commun. 227, 245 (2003).
[CrossRef]

Jüptner, W.

Th. Kreis, M. Adams, and W. Jüptner, Proc. SPIE 3098, 224 (1997).
[CrossRef]

Kato, J.

Kim, M. K.

Kreis, Th.

Th. Kreis, M. Adams, and W. Jüptner, Proc. SPIE 3098, 224 (1997).
[CrossRef]

Leval, J.

Li, J. C.

J. C. Li, Z. Peng, and Y. Fu, Opt. Commun. 280, 243 (2007).
[CrossRef]

Mas, D.

D. Mas, J. Perez, C. Hernandez, C. Vazquez, J. J. Miret, and C. Illueca, Opt. Commun. 227, 245 (2003).
[CrossRef]

Matsumura, T.

Miret, J. J.

D. Mas, J. Perez, C. Hernandez, C. Vazquez, J. J. Miret, and C. Illueca, Opt. Commun. 227, 245 (2003).
[CrossRef]

Mizuno, J.

Ohta, S.

Peng, Z.

J. C. Li, Z. Peng, and Y. Fu, Opt. Commun. 280, 243 (2007).
[CrossRef]

Perez, J.

D. Mas, J. Perez, C. Hernandez, C. Vazquez, J. J. Miret, and C. Illueca, Opt. Commun. 227, 245 (2003).
[CrossRef]

Picart, P.

Pierattini, G.

Vazquez, C.

D. Mas, J. Perez, C. Hernandez, C. Vazquez, J. J. Miret, and C. Illueca, Opt. Commun. 227, 245 (2003).
[CrossRef]

Yamaguchi, I.

Yaroslavsky, L. P.

Yu, L.

Zhang, F.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1
Fig. 1

Experimental setup ( d 0 = 1500 mm , x 0 = 53.6 mm , y 0 = 51.9 mm ).

Fig. 2
Fig. 2

Spatial frequency spectrum for (a) γ = 0.079 , (b) γ = 0.158 , (c) γ = 0.140 , and (d) γ = 0.118 .

Fig. 3
Fig. 3

Reconstructed field of view for (a) γ = 0.079 , K = M = 1024 , L = N = 1360 , (b) γ = 0.158 , K = L = 2048 , (c) γ = 0.140 , K = L = 2048 , and (d) γ = 0.118 , K = L = 2048 .

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

w ( x , y , R c ) = i R c λ exp 2 i π sgn ( R c ) λ R c 2 + x 2 + y 2 R c 2 + x 2 + y 2 ,
δ u 1 λ 2 Δ u 2 4 λ d R Δ u 1 λ d R Δ u .
H ̃ ( u , v , d R ) = { exp [ 2 i π d R λ 1 λ 2 ( u u 0 ) 2 λ 2 ( v v 0 ) 2 ] , if u u 0 L p x λ d R , v v 0 K p y λ d R 0 , elsewhere } .
N p x 2 λ R c + L p x 2 λ d R < u 0 .
( L + N ) p x 2 λ d 0 u 0 + N p x < γ < L p x Δ A x .

Metrics