Abstract

We present a new single channel in-line setup for holographic recording that can properly record various objects that cannot be recorded by the Gabor holographic method. This configuration allows the recording of holograms based on several modalities while addressing important issues of the original Gabor setup, including the well-known twin-image problem and the weak scattering condition.

© 2013 Optical Society of America

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References

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  1. T. Kreis, Handbook of Holographic Interferometry: Optical and Digital Methods (Wiley-VCH, 2005).
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  11. J. W. Goodman, Introduction to Fourier Optics, 3rd ed. (Roberts & Company, 2005), Chap. 5, p. 111.

2012

2011

2010

2009

2007

J. Rosen and G. Brooker, Opt. Lett. 32, 912 (2007).
[CrossRef]

T. Latychevskaia and H.-W. Fink, Phys. Rev. Lett. 98, 233901 (2007).
[CrossRef]

2005

1948

D. Gabor, Nature 161, 777 (1948).
[CrossRef]

Asundi, A.

Brady, D. J.

Brooker, G.

Choi, K.

Fink, H.-W.

T. Latychevskaia and H.-W. Fink, Phys. Rev. Lett. 98, 233901 (2007).
[CrossRef]

Gabor, D.

D. Gabor, Nature 161, 777 (1948).
[CrossRef]

Garcia, J.

Goodman, J. W.

J. W. Goodman, Introduction to Fourier Optics, 3rd ed. (Roberts & Company, 2005), Chap. 5, p. 111.

Guo, Z.

Horisaki, R.

Javidi, B.

Katz, B.

Kelner, R.

Kreis, T.

T. Kreis, Handbook of Holographic Interferometry: Optical and Digital Methods (Wiley-VCH, 2005).

Latychevskaia, T.

T. Latychevskaia and H.-W. Fink, Phys. Rev. Lett. 98, 233901 (2007).
[CrossRef]

Lim, S.

Marks, D. L.

Miao, J.

Mico, V.

Peng, X.

Rosen, J.

Siegel, N.

Wang, V.

Xu, L.

Zalevsky, Z.

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Figures (6)

Fig. 1.
Fig. 1.

Schematic of the JORDI recording setup. Pol1 and Pol2 are polarizers. The spatial light modulators are SLM1 and SLM2. The two independent beams are signified by red and blue. This is only a simplified scheme in the sense that the actual incident angles of the beams hitting the SLMs in the experimental setup are less than 10°.

Fig. 2.
Fig. 2.

Schematic of the hologram recorder implemented using the JORDI configuration. The reference beam, which is unscattered by the object (red arrows), interferes with the object wavefront (blue arrows) on the CCD.

Fig. 3.
Fig. 3.

Reconstruction of a three-dimensional object from its acquired Fresnel hologram. (a) Acquired Fresnel hologram for ϕl=0°. (b) Magnitude and (c) phase of the Fresnel hologram after applying the phase-shifting procedure with three exposures. (d) Reconstruction of the hologram at the best focus distance of the 4.0 object. (e) Reconstruction of the hologram at the best focus distance of the X object, which was positioned 10 cm behind the 4.0 object.

Fig. 4.
Fig. 4.

Acquisition of an image hologram using JORDI. (a) Recorded hologram at ϕl=0°. (b) Amplitude and (c) phase (wrapped) of the recorded object, after the application of the phase-shifting procedure.

Fig. 5.
Fig. 5.

Single channel off-axis holography using JORDI. (a) The recorded off-axis hologram. (b) The magnitude of the hologram at the plane in which the +1 order is focused. The reconstructed object’s spectrum (+1 order) is highlighted by a dashed square, while the zero and 1 orders are out of focus. (c) Object reconstruction at best plane of focus.

Fig. 6.
Fig. 6.

Comparison of JORDI and Gabor for the fly’s wing. (a), (c) The recorded JORDI and Gabor Fresnel holograms, respectively. (b), (d) The corresponding reconstructions in the best plane of focus of (a) and (c), respectively.

Equations (4)

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B1=Cθ1U(x,y;zs)*Q(1zs)·Q(1f1)L[a⃗1f1]ejϕl*Q(1z1+z2),
B2=Cθ2U(x,y;zs)*Q(1zs+z1)·Q(1f2)L[a⃗2f2]*Q(1z2),
I|C˜θ1Q(1z1+z2f1)L(a⃗1z1+z2f1)ejϕl+B2|2.
I|C˜θ1Q(1z1+z2f1)L(a⃗1z1+z2f1)ejθl+Cθ2|M|U(x/M,y/M;zs)|2,

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