Abstract

We present a numerical procedure that compensates for tilt phase aberration in in-line digital holography by computing the period of interference patterns in the reconstructed phase image. This method enables the reconstruction of correct and accurate phase information, even if strong tilt aberrations exist. Example applications of tilt aberration compensation are shown for a tilted plate, a micro-lens array, and a thin film transistor. This method is convenient because it uses only one hologram and no hardware to minimize the tilt aberration.

© 2009 Optical Society of Korea

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  1. E. Cuche, P. Marquet, and C. Depeursinge, "Simultaneous amplitude-contrast and quantitative phase-contrast microscopy by numerical reconstruction of Fresnel offaxis holograms," Appl. Opt. 38, 6994-7001 (1999)
    [CrossRef]
  2. L. Xu, X. Peng, Z. Guo, J. Miao, and A. Asundi, "Studies of digital microscopic with application to microstructure testing," Appl. Opt. 40, 5046-5051 (2001)
    [CrossRef]
  3. M. Jeong, N. Kim, and J. H. Park, "Elemental image synthesis for integral imaging using phase-shifting digital holography," J. Opt. Soc. Korea 12, 275-280 (2008)
    [CrossRef]
  4. M. A. Kronrod, N. S. Merzlyakov, and L. P. Yaroslavski, "Reconstruction of hologram with a computer," Sov. Phys. Tech. Phys. 17, 434-444 (1972)
  5. L. P. Yaroslavskii and N. S. Merzlyakov, Methods of Digital Holography (Consultants Bureau, New York, USA, 1980)
  6. L. Onural and P. D. Scott, "Digital decoding of in-line holograms," Opt. Eng. 26, 1124-1132 (1987)
  7. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw Hill, New York, USA, 2005), Chaper 9
  8. U. Schnars and W. Juepther, Digital Holography (Springer, Heidelberg, Germany, 2005)
  9. L. Xu, J. Miao, and A. Asundi, "Properties of digital holography based on in-line configuration," Opt. Eng. 39, 3214-3219 (1999)
    [CrossRef]
  10. C. Depeursinge, Digital Holography and Three-dimensional Display, T. C. Poon, ed. (Springer, New York, USA, 2006)
  11. D. Kim, B. J. Baek, Y. D. Kim, and B. Javidi, "3D nano object recognition based on phase measurement technique," J. Opt. Soc. Korea 11, 108-112 (2007)
    [CrossRef]
  12. J. W. Kang and C. K. Hong, "Three dimensional shape measurement of a micro Fresnel lens with in-line phaseshifting digital holographic microscopy," J. Opt. Soc. Korea 10, 178-183 (2006)
    [CrossRef]
  13. T. Colomb, E. Cuche, F. Charriere, J. Kuhn, N. Aspert, F. Montfort, P. Marquet, and C. Depeursinge, "Automatic procedure for aberration compensation in digital holographic microscopy and applications to specimen shape compensation," Appl. Opt. 45, 851-863 (2006)
    [CrossRef]
  14. E. Cuche, P. Marquet, and C. Depeursinge, "Simultaneous amplitude and quantitative phase-contrast microscopy by numerical reconstruction of Fresnel off-axis holograms," Appl. Opt. 38, 6994-7001 (1999)
    [CrossRef]
  15. T. Colomb, J. Kuhn, F. Charriere, C. Depeursinge, P. Marquet, and N. Aspert, "Total aberrations compensation in digital holographic microscopy with a reference conjugated hologram," Opt. Exp. 14, 4300-4306 (2006)
    [CrossRef]
  16. M. Liebling, "On Fresnelets, interference fringes, and digital holography," Ph.D. Dissertation, Swiss Federal Institute of Technology, Lausanne, Switzerland (2004)

2008 (1)

M. Jeong, N. Kim, and J. H. Park, "Elemental image synthesis for integral imaging using phase-shifting digital holography," J. Opt. Soc. Korea 12, 275-280 (2008)
[CrossRef]

2007 (1)

D. Kim, B. J. Baek, Y. D. Kim, and B. Javidi, "3D nano object recognition based on phase measurement technique," J. Opt. Soc. Korea 11, 108-112 (2007)
[CrossRef]

2006 (4)

J. W. Kang and C. K. Hong, "Three dimensional shape measurement of a micro Fresnel lens with in-line phaseshifting digital holographic microscopy," J. Opt. Soc. Korea 10, 178-183 (2006)
[CrossRef]

T. Colomb, E. Cuche, F. Charriere, J. Kuhn, N. Aspert, F. Montfort, P. Marquet, and C. Depeursinge, "Automatic procedure for aberration compensation in digital holographic microscopy and applications to specimen shape compensation," Appl. Opt. 45, 851-863 (2006)
[CrossRef]

T. Colomb, J. Kuhn, F. Charriere, C. Depeursinge, P. Marquet, and N. Aspert, "Total aberrations compensation in digital holographic microscopy with a reference conjugated hologram," Opt. Exp. 14, 4300-4306 (2006)
[CrossRef]

C. Depeursinge, Digital Holography and Three-dimensional Display, T. C. Poon, ed. (Springer, New York, USA, 2006)

2005 (2)

J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw Hill, New York, USA, 2005), Chaper 9

U. Schnars and W. Juepther, Digital Holography (Springer, Heidelberg, Germany, 2005)

2004 (1)

M. Liebling, "On Fresnelets, interference fringes, and digital holography," Ph.D. Dissertation, Swiss Federal Institute of Technology, Lausanne, Switzerland (2004)

2001 (1)

L. Xu, X. Peng, Z. Guo, J. Miao, and A. Asundi, "Studies of digital microscopic with application to microstructure testing," Appl. Opt. 40, 5046-5051 (2001)
[CrossRef]

1999 (3)

E. Cuche, P. Marquet, and C. Depeursinge, "Simultaneous amplitude-contrast and quantitative phase-contrast microscopy by numerical reconstruction of Fresnel offaxis holograms," Appl. Opt. 38, 6994-7001 (1999)
[CrossRef]

L. Xu, J. Miao, and A. Asundi, "Properties of digital holography based on in-line configuration," Opt. Eng. 39, 3214-3219 (1999)
[CrossRef]

E. Cuche, P. Marquet, and C. Depeursinge, "Simultaneous amplitude and quantitative phase-contrast microscopy by numerical reconstruction of Fresnel off-axis holograms," Appl. Opt. 38, 6994-7001 (1999)
[CrossRef]

1987 (1)

L. Onural and P. D. Scott, "Digital decoding of in-line holograms," Opt. Eng. 26, 1124-1132 (1987)

1980 (1)

L. P. Yaroslavskii and N. S. Merzlyakov, Methods of Digital Holography (Consultants Bureau, New York, USA, 1980)

1972 (1)

M. A. Kronrod, N. S. Merzlyakov, and L. P. Yaroslavski, "Reconstruction of hologram with a computer," Sov. Phys. Tech. Phys. 17, 434-444 (1972)

Applied Optics (4)

E. Cuche, P. Marquet, and C. Depeursinge, "Simultaneous amplitude-contrast and quantitative phase-contrast microscopy by numerical reconstruction of Fresnel offaxis holograms," Appl. Opt. 38, 6994-7001 (1999)
[CrossRef]

L. Xu, X. Peng, Z. Guo, J. Miao, and A. Asundi, "Studies of digital microscopic with application to microstructure testing," Appl. Opt. 40, 5046-5051 (2001)
[CrossRef]

T. Colomb, E. Cuche, F. Charriere, J. Kuhn, N. Aspert, F. Montfort, P. Marquet, and C. Depeursinge, "Automatic procedure for aberration compensation in digital holographic microscopy and applications to specimen shape compensation," Appl. Opt. 45, 851-863 (2006)
[CrossRef]

E. Cuche, P. Marquet, and C. Depeursinge, "Simultaneous amplitude and quantitative phase-contrast microscopy by numerical reconstruction of Fresnel off-axis holograms," Appl. Opt. 38, 6994-7001 (1999)
[CrossRef]

Journal of the Optical Society of Korea (3)

D. Kim, B. J. Baek, Y. D. Kim, and B. Javidi, "3D nano object recognition based on phase measurement technique," J. Opt. Soc. Korea 11, 108-112 (2007)
[CrossRef]

J. W. Kang and C. K. Hong, "Three dimensional shape measurement of a micro Fresnel lens with in-line phaseshifting digital holographic microscopy," J. Opt. Soc. Korea 10, 178-183 (2006)
[CrossRef]

M. Jeong, N. Kim, and J. H. Park, "Elemental image synthesis for integral imaging using phase-shifting digital holography," J. Opt. Soc. Korea 12, 275-280 (2008)
[CrossRef]

Optical Engineering (2)

L. Onural and P. D. Scott, "Digital decoding of in-line holograms," Opt. Eng. 26, 1124-1132 (1987)

L. Xu, J. Miao, and A. Asundi, "Properties of digital holography based on in-line configuration," Opt. Eng. 39, 3214-3219 (1999)
[CrossRef]

Optics Express (1)

T. Colomb, J. Kuhn, F. Charriere, C. Depeursinge, P. Marquet, and N. Aspert, "Total aberrations compensation in digital holographic microscopy with a reference conjugated hologram," Opt. Exp. 14, 4300-4306 (2006)
[CrossRef]

Soviet physics. Technical physics (1)

M. A. Kronrod, N. S. Merzlyakov, and L. P. Yaroslavski, "Reconstruction of hologram with a computer," Sov. Phys. Tech. Phys. 17, 434-444 (1972)

Other (5)

L. P. Yaroslavskii and N. S. Merzlyakov, Methods of Digital Holography (Consultants Bureau, New York, USA, 1980)

C. Depeursinge, Digital Holography and Three-dimensional Display, T. C. Poon, ed. (Springer, New York, USA, 2006)

J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw Hill, New York, USA, 2005), Chaper 9

U. Schnars and W. Juepther, Digital Holography (Springer, Heidelberg, Germany, 2005)

M. Liebling, "On Fresnelets, interference fringes, and digital holography," Ph.D. Dissertation, Swiss Federal Institute of Technology, Lausanne, Switzerland (2004)

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