Abstract

New techniques are presented that make phase-shifting holography viable for second-harmonic generation (SHG) holography with weak object fields. We developed an intrinsic phase shift calibration of SHG holograms, an algorithm that extracts the reference and object intensity directly from a set of phase-shifted holographic data, and a more robust phase-shifting holography reconstruction algorithm based on π-shifted hologram pairs that permits self-calibration of the phase shift and recovery of the complex field through a Hilbert transform.

© 2012 Optical Society of America

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References

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2011 (1)

S. H. Yue, M. N. Slipchenko, and J. X. Cheng, Laser Photon. Rev. 5, 496 (2011).
[CrossRef]

2010 (3)

2009 (3)

C. L. Hsieh, R. Grange, Y. Pu, and D. Psaltis, Opt. Express 17, 2880 (2009).
[CrossRef]

E. Shaffer, N. Pavillon, J. Kuehn, and C. Depeursinge, Opt. Lett. 34, 2450 (2009).
[CrossRef]

R. Carriles, D. N. Schafer, K. E. Sheetz, J. J. Field, R. Cisek, V. Barzda, A. W. Sylvester, and J. A. Squier, Rev. Sci. Instrum. 80, 081101 (2009).
[CrossRef]

2008 (1)

1999 (1)

1997 (1)

1990 (1)

W. Denk, J. H. Strickler, and W. W. Webb, Science 248, 73 (1990).
[CrossRef]

1978 (1)

J. N. Gannaway and C. J. R. Sheppard, Opt. Quantum Electron. 10, 435 (1978).
[CrossRef]

1962 (1)

Bartels, R. A.

Barzda, V.

R. Carriles, D. N. Schafer, K. E. Sheetz, J. J. Field, R. Cisek, V. Barzda, A. W. Sylvester, and J. A. Squier, Rev. Sci. Instrum. 80, 081101 (2009).
[CrossRef]

Bevilacqua, F.

Carriles, R.

R. Carriles, D. N. Schafer, K. E. Sheetz, J. J. Field, R. Cisek, V. Barzda, A. W. Sylvester, and J. A. Squier, Rev. Sci. Instrum. 80, 081101 (2009).
[CrossRef]

Centurion, M.

Cheng, J. X.

S. H. Yue, M. N. Slipchenko, and J. X. Cheng, Laser Photon. Rev. 5, 496 (2011).
[CrossRef]

Cisek, R.

R. Carriles, D. N. Schafer, K. E. Sheetz, J. J. Field, R. Cisek, V. Barzda, A. W. Sylvester, and J. A. Squier, Rev. Sci. Instrum. 80, 081101 (2009).
[CrossRef]

Cuche, E.

Denk, W.

W. Denk, J. H. Strickler, and W. W. Webb, Science 248, 73 (1990).
[CrossRef]

Depeursinge, C.

Field, J. J.

R. Carriles, D. N. Schafer, K. E. Sheetz, J. J. Field, R. Cisek, V. Barzda, A. W. Sylvester, and J. A. Squier, Rev. Sci. Instrum. 80, 081101 (2009).
[CrossRef]

Gannaway, J. N.

J. N. Gannaway and C. J. R. Sheppard, Opt. Quantum Electron. 10, 435 (1978).
[CrossRef]

Grange, R.

Hsieh, C. L.

Hsieh, C.-L.

Kuehn, J.

Leith, E. N.

Magistretti, P.

Marquet, P.

Masihzadeh, O.

Moratal, C.

Pavillon, N.

Psaltis, D.

Pu, Y.

Schafer, D. N.

R. Carriles, D. N. Schafer, K. E. Sheetz, J. J. Field, R. Cisek, V. Barzda, A. W. Sylvester, and J. A. Squier, Rev. Sci. Instrum. 80, 081101 (2009).
[CrossRef]

Schlup, P.

Shaffer, E.

Sheetz, K. E.

R. Carriles, D. N. Schafer, K. E. Sheetz, J. J. Field, R. Cisek, V. Barzda, A. W. Sylvester, and J. A. Squier, Rev. Sci. Instrum. 80, 081101 (2009).
[CrossRef]

Sheppard, C. J. R.

J. N. Gannaway and C. J. R. Sheppard, Opt. Quantum Electron. 10, 435 (1978).
[CrossRef]

Slipchenko, M. N.

S. H. Yue, M. N. Slipchenko, and J. X. Cheng, Laser Photon. Rev. 5, 496 (2011).
[CrossRef]

Squier, J. A.

R. Carriles, D. N. Schafer, K. E. Sheetz, J. J. Field, R. Cisek, V. Barzda, A. W. Sylvester, and J. A. Squier, Rev. Sci. Instrum. 80, 081101 (2009).
[CrossRef]

Strickler, J. H.

W. Denk, J. H. Strickler, and W. W. Webb, Science 248, 73 (1990).
[CrossRef]

Sylvester, A. W.

R. Carriles, D. N. Schafer, K. E. Sheetz, J. J. Field, R. Cisek, V. Barzda, A. W. Sylvester, and J. A. Squier, Rev. Sci. Instrum. 80, 081101 (2009).
[CrossRef]

Upatniek, J.

Webb, W. W.

W. Denk, J. H. Strickler, and W. W. Webb, Science 248, 73 (1990).
[CrossRef]

Yamaguchi, I.

Yue, S. H.

S. H. Yue, M. N. Slipchenko, and J. X. Cheng, Laser Photon. Rev. 5, 496 (2011).
[CrossRef]

Zhang, T.

Appl. Opt. (1)

J. Opt. Soc. Am. (1)

Laser Photon. Rev. (1)

S. H. Yue, M. N. Slipchenko, and J. X. Cheng, Laser Photon. Rev. 5, 496 (2011).
[CrossRef]

Opt. Express (3)

Opt. Lett. (4)

Opt. Quantum Electron. (1)

J. N. Gannaway and C. J. R. Sheppard, Opt. Quantum Electron. 10, 435 (1978).
[CrossRef]

Rev. Sci. Instrum. (1)

R. Carriles, D. N. Schafer, K. E. Sheetz, J. J. Field, R. Cisek, V. Barzda, A. W. Sylvester, and J. A. Squier, Rev. Sci. Instrum. 80, 081101 (2009).
[CrossRef]

Science (1)

W. Denk, J. H. Strickler, and W. W. Webb, Science 248, 73 (1990).
[CrossRef]

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Figures (3)

Fig. 1.
Fig. 1.

(a) Calibration of reference phase shift, δϕ, (b) Fourier domain of reference hologram with filter indicated, and (c) Fourier domain of ΣIπ.

Fig. 2.
Fig. 2.

Fourier representation of (a) ΔIπ and (b) Ec. The data are holograms recorded from cornstarch granules.

Fig. 3.
Fig. 3.

(a) Magnitude of the field at the image plane showing the SHG image of starch granules, (b) the phase of the field at the image plane, (c) 3D reconstruction of the starch granules with projection of the image plane.

Equations (1)

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Ih(x,y)=Ir(x,y)+Io(x,y)+2Ir(x,y)Io(x,y)×cos[2πα(x+y)Δϕ(x,y)+δϕ].

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