Abstract

In color digital holography the recording and reconstruction of three holograms, by an optical setup operating in multi-wavelength mode, is necessary. Incorrect superposition of different images at various wavelengths may occur due to the presence of chromatic aberrations. We demonstrate that the compensation of the chromatic aberrations can be achieved by using all of the information contained in the multi-wavelength digital holograms. Chromatic aberration is extracted from phase maps reconstructed at different wavelengths, resulting in perfect full color amplitude reconstructions. The method has important applications in color 3-D holographic imaging and display.

© 2007 IEEE

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  1. H. Arimoto, B. Javidi, "Integral three-dimensional imaging with digital reconstruction," Opt. Lett. 26, 157-159 (2001).
  2. Y. Jeong, S. Jung, J. H. Park, B. Lee, "Reflection-type integral imaging scheme for displaying three-dimensional images," Opt. Lett. 27, 704-706 (2002).
  3. J.-S. Jang, B. Javidi, "Three-dimensional integral imaging of micro-objects," Opt. Lett. 29, 1230-1232 (2004).
  4. G. Indebetouw, P. Klysubun, T. Kim, T.-C. Poon, "Imaging properties of scanning holographic microscopy," J. Opt. Soc. Amer. A 17, 380-390 (2000).
  5. J. Swoger, M. Martínez-Corral, J. Huisken, E. H. K. Stelzer, "Optical scanning holography as a technique for high-resolution three-dimensional biological microscopy," J. Opt. Soc. Amer. A 19, 1910-1918 (2002).
  6. G. Indebetouw, A. El Maghnouji, R. Foster, "Scanning holographic microscopy with transverse resolution exceeding the Rayleigh limit and extended depth of focus," J. Opt. Soc. Amer. A 22, 892-898 (2005).
  7. G. Indebetouw, "A posteriori quasi-sectioning of the three-dimensional reconstructions of scanning holographic microscopy," J. Opt. Soc. Amer. A 23, 2657-2661 (2006).
  8. J. Rosen, G. Indebetouw, G. Brooker, "Homodyne scanning holography," Opt. Expr. 14, 4280-4285 (2006).
  9. W. Xu, M. H. Jericho, H. J. Kreuzer, I. A. Meinertzhagen, "Tracking particles in four dimensions with in-line holographic microscopy," Opt. Lett. 28, 164-166 (2003).
  10. W. Xu, M. H. Jerico, I. A. Meinertzhagen, H. J. Kreuzer, "Digital in-line holography for biological applications," Proc. Nat. Acad. Sci. USA 98, 11301-11305 (2001).
  11. J. Garcia-Sucerquia, W. Xu, M. H. Jerico, H. J. Kreuzer, "Immersion digital in-line holographic microscopy," Opt. Lett. 31, 1211-1213 (2006).
  12. M. S. Millán, J. Otón, E. Pérez-Cabré, "Chromatic compensation of programmable Fresnel lenses," Opt. Express 14, 6226-6242 (2006).
  13. M. S. Millán, J. Otón, E. Pérez-Cabré, "Dynamic compensation of chromatic aberration in a programmable diffractive lens," Opt. Express 14, 9103-9012 (2006).
  14. M. Hain, W. von Spiegel, M. Schmiedchen, T. Tschudi, B. Javidi, "3D integral imaging using diffractive Fresnel lens arrays," Opt. Expr. 13, 315-326 (2005).
  15. B. Javidi, P. Ferraro, S.-H. Hong, S. De Nicola, A. Finizio, D. Alfieri, G. Pierattini, "Three-dimensional image fusion by use of multiwavelength digital holography," Opt. Lett. 30, 144-146 (2005).
  16. D. Parshall, M. K. Kim, "Digital holographic microscopy with dual-wavelength phase unwrapping," Appl. Opt. 45, 451-459 (2006).
  17. J. Kato, I. Yamaguchi, T. Matsumura, "Multicolor digital holography with an achromatic phase shifter," Opt. Lett. 27, 1403-1405 (2002).
  18. J. Gass, A. Dakoff, M. K. Kim, "Phase imaging without $2\pi$-ambiguity by multiple-wavelength digital holography," Opt. Lett. 28, 1141-1143 (2003).
  19. Yamaguchi, T. Matsumura, J. Kato, "Phase-shifting color digital holography," Opt. Lett. 27, 1108-1110 (2002).
  20. N. Demoli, D. Vukicevic, M. Torzynski, "Dynamic digital holographic interferometry with three wavelengths," Opt. Expr. 11, 767-774 (2003).
  21. S. De Nicola, A. Finizio, G. Pierattini, D. Alfieri, S. Grilli, L. Sansone, P. Ferraro, "Recovering correct phase information in multiwavelength digital holographic microscopy by compensation for chromatic aberrations," Opt. Lett. 30, 2706-2708 (2005).
  22. T. Colomb, F. Montfort, J. Kühn, N. Aspert, E. Cuche, A. Marian, F. Charrière, S. Bourquin, P. Marquet, C. Depeursinge, "Numerical parametric lens for shifting, magnification, and complete aberration compensation in digital holographic microscopy," J. Opt. Soc. Amer. A. 23, 3177-3190 (2006).
  23. K. Choi, H. Kim, B. Lee, "Full-colour autostereoscopic 3D display system using colour-dispersion-compensated synthetic phase holograms," Opt. Expr. 12, 5229-5236 (2004).
  24. L. Miccio, D. Alfieri, S. Grilli, P. Ferraro, A. Finizio, L. De Petrocellis, S. De Nicola, "Direct full compensation of the aberrations in quantitative phase microscopy of thin objects by a single digital hologram," Appl. Phys. Lett. 90, 041104 (2007).
  25. P. Ferraro, S. De Nicola, G. Coppola, A. Finizio, D. Alfieri, G. Pierattini, "Controlling image size as a function of distance and wavelength in Fresnel-transform reconstruction of digital holograms," Opt. Lett. 29, 854-856 (2004).
  26. D. Alfieri, G. Coppola, S. De Nicola, P. Ferraro, A. Finizio, G. Pierattini, B. Javidi, "Method for superposing reconstructed images from digital holograms of the same object recorded at different distance and wavelength," Opt. Commun. 260, 113-116 (2006).
  27. P. Ferraro, S. De Nicola, G. Coppola, Optical Imaging Sensors and Systems for Homeland Security Applications (Springer, 2005) pp. 47-84.
  28. P. Ferraro, S. De Nicola, G. Coppola, Digital Holography and Three-Dimensional Display, Principles and Applications (Springer, 2006) pp. 173-212.

2007 (1)

L. Miccio, D. Alfieri, S. Grilli, P. Ferraro, A. Finizio, L. De Petrocellis, S. De Nicola, "Direct full compensation of the aberrations in quantitative phase microscopy of thin objects by a single digital hologram," Appl. Phys. Lett. 90, 041104 (2007).

2006 (8)

T. Colomb, F. Montfort, J. Kühn, N. Aspert, E. Cuche, A. Marian, F. Charrière, S. Bourquin, P. Marquet, C. Depeursinge, "Numerical parametric lens for shifting, magnification, and complete aberration compensation in digital holographic microscopy," J. Opt. Soc. Amer. A. 23, 3177-3190 (2006).

D. Alfieri, G. Coppola, S. De Nicola, P. Ferraro, A. Finizio, G. Pierattini, B. Javidi, "Method for superposing reconstructed images from digital holograms of the same object recorded at different distance and wavelength," Opt. Commun. 260, 113-116 (2006).

G. Indebetouw, "A posteriori quasi-sectioning of the three-dimensional reconstructions of scanning holographic microscopy," J. Opt. Soc. Amer. A 23, 2657-2661 (2006).

J. Rosen, G. Indebetouw, G. Brooker, "Homodyne scanning holography," Opt. Expr. 14, 4280-4285 (2006).

J. Garcia-Sucerquia, W. Xu, M. H. Jerico, H. J. Kreuzer, "Immersion digital in-line holographic microscopy," Opt. Lett. 31, 1211-1213 (2006).

M. S. Millán, J. Otón, E. Pérez-Cabré, "Chromatic compensation of programmable Fresnel lenses," Opt. Express 14, 6226-6242 (2006).

M. S. Millán, J. Otón, E. Pérez-Cabré, "Dynamic compensation of chromatic aberration in a programmable diffractive lens," Opt. Express 14, 9103-9012 (2006).

D. Parshall, M. K. Kim, "Digital holographic microscopy with dual-wavelength phase unwrapping," Appl. Opt. 45, 451-459 (2006).

2005 (4)

G. Indebetouw, A. El Maghnouji, R. Foster, "Scanning holographic microscopy with transverse resolution exceeding the Rayleigh limit and extended depth of focus," J. Opt. Soc. Amer. A 22, 892-898 (2005).

M. Hain, W. von Spiegel, M. Schmiedchen, T. Tschudi, B. Javidi, "3D integral imaging using diffractive Fresnel lens arrays," Opt. Expr. 13, 315-326 (2005).

B. Javidi, P. Ferraro, S.-H. Hong, S. De Nicola, A. Finizio, D. Alfieri, G. Pierattini, "Three-dimensional image fusion by use of multiwavelength digital holography," Opt. Lett. 30, 144-146 (2005).

S. De Nicola, A. Finizio, G. Pierattini, D. Alfieri, S. Grilli, L. Sansone, P. Ferraro, "Recovering correct phase information in multiwavelength digital holographic microscopy by compensation for chromatic aberrations," Opt. Lett. 30, 2706-2708 (2005).

2004 (3)

2003 (3)

W. Xu, M. H. Jericho, H. J. Kreuzer, I. A. Meinertzhagen, "Tracking particles in four dimensions with in-line holographic microscopy," Opt. Lett. 28, 164-166 (2003).

N. Demoli, D. Vukicevic, M. Torzynski, "Dynamic digital holographic interferometry with three wavelengths," Opt. Expr. 11, 767-774 (2003).

J. Gass, A. Dakoff, M. K. Kim, "Phase imaging without $2\pi$-ambiguity by multiple-wavelength digital holography," Opt. Lett. 28, 1141-1143 (2003).

2002 (4)

2001 (2)

H. Arimoto, B. Javidi, "Integral three-dimensional imaging with digital reconstruction," Opt. Lett. 26, 157-159 (2001).

W. Xu, M. H. Jerico, I. A. Meinertzhagen, H. J. Kreuzer, "Digital in-line holography for biological applications," Proc. Nat. Acad. Sci. USA 98, 11301-11305 (2001).

2000 (1)

G. Indebetouw, P. Klysubun, T. Kim, T.-C. Poon, "Imaging properties of scanning holographic microscopy," J. Opt. Soc. Amer. A 17, 380-390 (2000).

Appl. Opt. (1)

Appl. Phys. Lett. (1)

L. Miccio, D. Alfieri, S. Grilli, P. Ferraro, A. Finizio, L. De Petrocellis, S. De Nicola, "Direct full compensation of the aberrations in quantitative phase microscopy of thin objects by a single digital hologram," Appl. Phys. Lett. 90, 041104 (2007).

J. Opt. Soc. Amer. A (1)

G. Indebetouw, "A posteriori quasi-sectioning of the three-dimensional reconstructions of scanning holographic microscopy," J. Opt. Soc. Amer. A 23, 2657-2661 (2006).

J. Opt. Soc. Amer. A (3)

G. Indebetouw, P. Klysubun, T. Kim, T.-C. Poon, "Imaging properties of scanning holographic microscopy," J. Opt. Soc. Amer. A 17, 380-390 (2000).

J. Swoger, M. Martínez-Corral, J. Huisken, E. H. K. Stelzer, "Optical scanning holography as a technique for high-resolution three-dimensional biological microscopy," J. Opt. Soc. Amer. A 19, 1910-1918 (2002).

G. Indebetouw, A. El Maghnouji, R. Foster, "Scanning holographic microscopy with transverse resolution exceeding the Rayleigh limit and extended depth of focus," J. Opt. Soc. Amer. A 22, 892-898 (2005).

J. Opt. Soc. Amer. A. (1)

T. Colomb, F. Montfort, J. Kühn, N. Aspert, E. Cuche, A. Marian, F. Charrière, S. Bourquin, P. Marquet, C. Depeursinge, "Numerical parametric lens for shifting, magnification, and complete aberration compensation in digital holographic microscopy," J. Opt. Soc. Amer. A. 23, 3177-3190 (2006).

Opt. Expr. (1)

J. Rosen, G. Indebetouw, G. Brooker, "Homodyne scanning holography," Opt. Expr. 14, 4280-4285 (2006).

Opt. Express (1)

M. S. Millán, J. Otón, E. Pérez-Cabré, "Dynamic compensation of chromatic aberration in a programmable diffractive lens," Opt. Express 14, 9103-9012 (2006).

Opt. Lett. (1)

J. Gass, A. Dakoff, M. K. Kim, "Phase imaging without $2\pi$-ambiguity by multiple-wavelength digital holography," Opt. Lett. 28, 1141-1143 (2003).

Opt. Commun. (1)

D. Alfieri, G. Coppola, S. De Nicola, P. Ferraro, A. Finizio, G. Pierattini, B. Javidi, "Method for superposing reconstructed images from digital holograms of the same object recorded at different distance and wavelength," Opt. Commun. 260, 113-116 (2006).

Opt. Expr. (3)

K. Choi, H. Kim, B. Lee, "Full-colour autostereoscopic 3D display system using colour-dispersion-compensated synthetic phase holograms," Opt. Expr. 12, 5229-5236 (2004).

N. Demoli, D. Vukicevic, M. Torzynski, "Dynamic digital holographic interferometry with three wavelengths," Opt. Expr. 11, 767-774 (2003).

M. Hain, W. von Spiegel, M. Schmiedchen, T. Tschudi, B. Javidi, "3D integral imaging using diffractive Fresnel lens arrays," Opt. Expr. 13, 315-326 (2005).

Opt. Express (1)

Opt. Lett. (10)

J. Garcia-Sucerquia, W. Xu, M. H. Jerico, H. J. Kreuzer, "Immersion digital in-line holographic microscopy," Opt. Lett. 31, 1211-1213 (2006).

B. Javidi, P. Ferraro, S.-H. Hong, S. De Nicola, A. Finizio, D. Alfieri, G. Pierattini, "Three-dimensional image fusion by use of multiwavelength digital holography," Opt. Lett. 30, 144-146 (2005).

Yamaguchi, T. Matsumura, J. Kato, "Phase-shifting color digital holography," Opt. Lett. 27, 1108-1110 (2002).

J. Kato, I. Yamaguchi, T. Matsumura, "Multicolor digital holography with an achromatic phase shifter," Opt. Lett. 27, 1403-1405 (2002).

W. Xu, M. H. Jericho, H. J. Kreuzer, I. A. Meinertzhagen, "Tracking particles in four dimensions with in-line holographic microscopy," Opt. Lett. 28, 164-166 (2003).

H. Arimoto, B. Javidi, "Integral three-dimensional imaging with digital reconstruction," Opt. Lett. 26, 157-159 (2001).

Y. Jeong, S. Jung, J. H. Park, B. Lee, "Reflection-type integral imaging scheme for displaying three-dimensional images," Opt. Lett. 27, 704-706 (2002).

J.-S. Jang, B. Javidi, "Three-dimensional integral imaging of micro-objects," Opt. Lett. 29, 1230-1232 (2004).

S. De Nicola, A. Finizio, G. Pierattini, D. Alfieri, S. Grilli, L. Sansone, P. Ferraro, "Recovering correct phase information in multiwavelength digital holographic microscopy by compensation for chromatic aberrations," Opt. Lett. 30, 2706-2708 (2005).

P. Ferraro, S. De Nicola, G. Coppola, A. Finizio, D. Alfieri, G. Pierattini, "Controlling image size as a function of distance and wavelength in Fresnel-transform reconstruction of digital holograms," Opt. Lett. 29, 854-856 (2004).

Proc. Nat. Acad. Sci. USA (1)

W. Xu, M. H. Jerico, I. A. Meinertzhagen, H. J. Kreuzer, "Digital in-line holography for biological applications," Proc. Nat. Acad. Sci. USA 98, 11301-11305 (2001).

Other (2)

P. Ferraro, S. De Nicola, G. Coppola, Optical Imaging Sensors and Systems for Homeland Security Applications (Springer, 2005) pp. 47-84.

P. Ferraro, S. De Nicola, G. Coppola, Digital Holography and Three-Dimensional Display, Principles and Applications (Springer, 2006) pp. 173-212.

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