Abstract

We propose a single-exposure phase-shifting digital holography based on a wave-splitting method using a random-phase reference wave. A random-phase reference wave gives random-phase distribution on the digital hologram. Using the amplitude and the phase distributions of the reference wave, the fully complex amplitude of the object wave is obtained. The proposed method requires not devised optical systems but ordinary imaging devices, such as CCD cameras. A preliminary experimental result is given to confirm the proposed method.

© 2010 Optical Society of America

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2010

H. Suzuki, T. Nomura, E. Nitanai, and T. Numata, Opt. Rev. 17, 176 (2010).
[CrossRef]

2009

2008

H. Toge, H. Fujiwara, and K. Sato, Proc. SPIE 6912, 69120U (2008).
[CrossRef]

2006

2005

T. Kreis, Handbook of Holographic Interferometry (Wiley VCH, 2005).

J. Millerd, N. Brock, J. Hayes, B. Kimbrough, M. Novak, M. North-Morris, and J. C. Wyant, Proc. SPIE 5856, 14 (2005).
[CrossRef]

2004

J. E. Millerd, N. J. Brock, J. B. Hayes, M. B. North-Morris, M. Novak, and J. C. Wyant, Proc. SPIE 5531, 304 (2004).
[CrossRef]

Y. Yasuno, S. Makita, T. Endo, G. Aoki, H. Sumimura, M. Itoh, and T. Yatagai, Opt. Express 12, 6184 (2004).
[CrossRef] [PubMed]

D. Kim and B. Javidi, Proc. SPIE 5599, 106 (2004).
[CrossRef]

Y. Awatsuji, M. Sasada, and T. Kubota, Appl. Phys. Lett. 85, 1069 (2004).
[CrossRef]

2003

J. C. Wyant, Opt. Photonics News 14(4), 36 (2003).
[CrossRef]

2002

2000

1997

Andrés, P.

Aoki, G.

Araiza-E, M.

Awatsuji, Y.

Baumbach, T.

Brock, N.

J. Millerd, N. Brock, J. Hayes, B. Kimbrough, M. Novak, M. North-Morris, and J. C. Wyant, Proc. SPIE 5856, 14 (2005).
[CrossRef]

Brock, N. J.

J. E. Millerd, N. J. Brock, J. B. Hayes, M. B. North-Morris, M. Novak, and J. C. Wyant, Proc. SPIE 5531, 304 (2004).
[CrossRef]

Climent, V.

Endo, T.

Fujii, A.

Fujiwara, H.

H. Toge, H. Fujiwara, and K. Sato, Proc. SPIE 6912, 69120U (2008).
[CrossRef]

Hayes, J.

J. Millerd, N. Brock, J. Hayes, B. Kimbrough, M. Novak, M. North-Morris, and J. C. Wyant, Proc. SPIE 5856, 14 (2005).
[CrossRef]

Hayes, J. B.

J. E. Millerd, N. J. Brock, J. B. Hayes, M. B. North-Morris, M. Novak, and J. C. Wyant, Proc. SPIE 5531, 304 (2004).
[CrossRef]

Isshiki, M.

Ito, K.

Itoh, M.

Javidi, B.

Jüptner, W.

Kaneko, A.

Kim, D.

D. Kim and B. Javidi, Proc. SPIE 5599, 106 (2004).
[CrossRef]

Kimbrough, B.

J. Millerd, N. Brock, J. Hayes, B. Kimbrough, M. Novak, M. North-Morris, and J. C. Wyant, Proc. SPIE 5856, 14 (2005).
[CrossRef]

Koyama, T.

Kreis, T.

T. Kreis, Handbook of Holographic Interferometry (Wiley VCH, 2005).

Kubota, T.

Lancis, J.

Makita, S.

Martínez-León, L.

Matoba, O.

Millerd, J.

J. Millerd, N. Brock, J. Hayes, B. Kimbrough, M. Novak, M. North-Morris, and J. C. Wyant, Proc. SPIE 5856, 14 (2005).
[CrossRef]

Millerd, J. E.

J. E. Millerd, N. J. Brock, J. B. Hayes, M. B. North-Morris, M. Novak, and J. C. Wyant, Proc. SPIE 5531, 304 (2004).
[CrossRef]

Murata, S.

Nakadate, S.

Nishio, K.

Nitanai, E.

H. Suzuki, T. Nomura, E. Nitanai, and T. Numata, Opt. Rev. 17, 176 (2010).
[CrossRef]

T. Nomura, S. Murata, E. Nitanai, and T. Numata, Appl. Opt. 45, 4873 (2006).
[CrossRef] [PubMed]

Nomura, T.

North-Morris, M.

J. Millerd, N. Brock, J. Hayes, B. Kimbrough, M. Novak, M. North-Morris, and J. C. Wyant, Proc. SPIE 5856, 14 (2005).
[CrossRef]

North-Morris, M. B.

J. E. Millerd, N. J. Brock, J. B. Hayes, M. B. North-Morris, M. Novak, and J. C. Wyant, Proc. SPIE 5531, 304 (2004).
[CrossRef]

Novak, M.

J. Millerd, N. Brock, J. Hayes, B. Kimbrough, M. Novak, M. North-Morris, and J. C. Wyant, Proc. SPIE 5856, 14 (2005).
[CrossRef]

J. E. Millerd, N. J. Brock, J. B. Hayes, M. B. North-Morris, M. Novak, and J. C. Wyant, Proc. SPIE 5531, 304 (2004).
[CrossRef]

Numata, T.

H. Suzuki, T. Nomura, E. Nitanai, and T. Numata, Opt. Rev. 17, 176 (2010).
[CrossRef]

T. Nomura, S. Murata, E. Nitanai, and T. Numata, Appl. Opt. 45, 4873 (2006).
[CrossRef] [PubMed]

Osten, W.

Sasada, M.

Y. Awatsuji, M. Sasada, and T. Kubota, Appl. Phys. Lett. 85, 1069 (2004).
[CrossRef]

Sato, K.

H. Toge, H. Fujiwara, and K. Sato, Proc. SPIE 6912, 69120U (2008).
[CrossRef]

Shimozato, Y.

Sumimura, H.

Suzuki, H.

H. Suzuki, T. Nomura, E. Nitanai, and T. Numata, Opt. Rev. 17, 176 (2010).
[CrossRef]

Tahara, T.

Tajahuerce, E.

Toge, H.

H. Toge, H. Fujiwara, and K. Sato, Proc. SPIE 6912, 69120U (2008).
[CrossRef]

Ura, S.

Wyant, J. C.

J. Millerd, N. Brock, J. Hayes, B. Kimbrough, M. Novak, M. North-Morris, and J. C. Wyant, Proc. SPIE 5856, 14 (2005).
[CrossRef]

J. E. Millerd, N. J. Brock, J. B. Hayes, M. B. North-Morris, M. Novak, and J. C. Wyant, Proc. SPIE 5531, 304 (2004).
[CrossRef]

J. C. Wyant, Opt. Photonics News 14(4), 36 (2003).
[CrossRef]

Yamaguchi, I.

Yasuno, Y.

Yatagai, T.

Zhang, T.

Appl. Opt.

Appl. Phys. Lett.

Y. Awatsuji, M. Sasada, and T. Kubota, Appl. Phys. Lett. 85, 1069 (2004).
[CrossRef]

Opt. Express

Opt. Lett.

Opt. Photonics News

J. C. Wyant, Opt. Photonics News 14(4), 36 (2003).
[CrossRef]

Opt. Rev.

H. Suzuki, T. Nomura, E. Nitanai, and T. Numata, Opt. Rev. 17, 176 (2010).
[CrossRef]

Proc. SPIE

D. Kim and B. Javidi, Proc. SPIE 5599, 106 (2004).
[CrossRef]

J. E. Millerd, N. J. Brock, J. B. Hayes, M. B. North-Morris, M. Novak, and J. C. Wyant, Proc. SPIE 5531, 304 (2004).
[CrossRef]

J. Millerd, N. Brock, J. Hayes, B. Kimbrough, M. Novak, M. North-Morris, and J. C. Wyant, Proc. SPIE 5856, 14 (2005).
[CrossRef]

H. Toge, H. Fujiwara, and K. Sato, Proc. SPIE 6912, 69120U (2008).
[CrossRef]

Other

T. Kreis, Handbook of Holographic Interferometry (Wiley VCH, 2005).

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Figures (5)

Fig. 1
Fig. 1

Intensity distribution of a digital hologram.

Fig. 2
Fig. 2

Amplitude and phase distributions of the reference and object waves on four neighboring pixels on the digital hologram.

Fig. 3
Fig. 3

Calculated amplitude and phase distributions of the object waves from four neighboring pixels on the digital hologram.

Fig. 4
Fig. 4

Optical experimental setup: SF, spatial filter; L, lens; M, mirror; HM, half mirror.

Fig. 5
Fig. 5

Reconstructed images based on a single-shot digital hologram using a random-phase reference wave; (a) the propagation distance of the hologram is 220 mm to reconstruct an image, and (b) the propagation distance of the hologram is 220 mm to reconstruct a conjugate image.

Equations (13)

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

I 1 = a o 2 + a r 2 + 2 a o a r cos ( ϕ o ϕ r 1 ) ,
I 2 = a o 2 + a r 2 + 2 a o a r cos ( ϕ o ϕ r 2 ) ,
I 3 = a o 2 + a r 2 + 2 a o a r cos ( ϕ o ϕ r 3 ) ,
I 4 = a o 2 + a r 2 + 2 a o a r cos ( ϕ o ϕ r 4 ) .
ϕ o = tan 1 ( I 3 I 4 ) Φ a ( I 1 I 2 ) Φ c ( I 1 I 2 ) Φ d ( I 3 I 4 ) Φ b ,
a o = I 1 I 2 2 a r ( Φ a cos ϕ o + Φ b sin ϕ o ) ,
Φ a = cos ϕ r 1 cos ϕ r 2 ,
Φ b = sin ϕ r 1 sin ϕ r 2 ,
Φ c = cos ϕ r 3 cos ϕ r 4 ,
Φ d = sin ϕ r 3 sin ϕ r 4 .
I r ( x , y ) = | A r ( x , y ) | 2 + | A p ( x , y ) | 2 + A r ( x , y ) A p * ( x , y ) + A r * ( x , y ) A p ( x , y ) .
I r ( x , y ) = A r ( x , y ) A p * ( x , y ) + A r * ( x , y ) A p ( x , y ) .
A o ( x , y ) = a o ( x , y ) exp { i ϕ o ( x , y ) } ,

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