Abstract

We present an original heterodyne holography method for digital holography that relies on two-dimensional heterodyne detection to record the phase and the amplitude of a field. The technique has been tested on objects as much as 13 mm in size. Consistency checks were performed, and high-resolution images were computed. We show the requirement for a spatial filter to select properly sampled near-axis photons. Heterodyne holography is superior to off-axis digital holography for both field of view and resolution.

© 2000 Optical Society of America

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References

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  1. D. Gabor, Proc. R. Soc. London Ser. A 197, 454 (1949).
    [CrossRef]
  2. T. M. Kreis, W. P. O. Jüptner, and J. Geldmacher, Proc. SPIE 3478, 45 (1988).
    [CrossRef]
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    [CrossRef]
  4. E. N. Leith and J. Upatnieks, J. Opt. Soc. Am. 52, 1123 (1962).
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    [CrossRef]
  6. U. Schnars, T. M. Kreis, and W. P. O. Jüptner, Opt. Eng. 35, 977 (1996).
    [CrossRef]
  7. M. Gross, F. Le Clerc, and L. Collot, presented at Wave and Imaging in Complex Media, Cargèse, France, August 30–September 3, 1999.

1998

E. Cuche, P. Poscio, and C. Depeursinge, Proc. SPIE 3196, 24 (1998).
[CrossRef]

1996

U. Schnars, T. M. Kreis, and W. P. O. Jüptner, Opt. Eng. 35, 977 (1996).
[CrossRef]

1994

1988

T. M. Kreis, W. P. O. Jüptner, and J. Geldmacher, Proc. SPIE 3478, 45 (1988).
[CrossRef]

1962

1949

D. Gabor, Proc. R. Soc. London Ser. A 197, 454 (1949).
[CrossRef]

Collot, L.

M. Gross, F. Le Clerc, and L. Collot, presented at Wave and Imaging in Complex Media, Cargèse, France, August 30–September 3, 1999.

Cuche, E.

E. Cuche, P. Poscio, and C. Depeursinge, Proc. SPIE 3196, 24 (1998).
[CrossRef]

Depeursinge, C.

E. Cuche, P. Poscio, and C. Depeursinge, Proc. SPIE 3196, 24 (1998).
[CrossRef]

Gabor, D.

D. Gabor, Proc. R. Soc. London Ser. A 197, 454 (1949).
[CrossRef]

Geldmacher, J.

T. M. Kreis, W. P. O. Jüptner, and J. Geldmacher, Proc. SPIE 3478, 45 (1988).
[CrossRef]

Gross, M.

M. Gross, F. Le Clerc, and L. Collot, presented at Wave and Imaging in Complex Media, Cargèse, France, August 30–September 3, 1999.

Jüptner, W. P. O.

U. Schnars, T. M. Kreis, and W. P. O. Jüptner, Opt. Eng. 35, 977 (1996).
[CrossRef]

T. M. Kreis, W. P. O. Jüptner, and J. Geldmacher, Proc. SPIE 3478, 45 (1988).
[CrossRef]

Kreis, T. M.

U. Schnars, T. M. Kreis, and W. P. O. Jüptner, Opt. Eng. 35, 977 (1996).
[CrossRef]

T. M. Kreis, W. P. O. Jüptner, and J. Geldmacher, Proc. SPIE 3478, 45 (1988).
[CrossRef]

Le Clerc, F.

M. Gross, F. Le Clerc, and L. Collot, presented at Wave and Imaging in Complex Media, Cargèse, France, August 30–September 3, 1999.

Leith, E. N.

Poscio, P.

E. Cuche, P. Poscio, and C. Depeursinge, Proc. SPIE 3196, 24 (1998).
[CrossRef]

Schnars, U.

U. Schnars, T. M. Kreis, and W. P. O. Jüptner, Opt. Eng. 35, 977 (1996).
[CrossRef]

U. Schnars, J. Opt. Soc. Am. A 11, 2011 (1994).
[CrossRef]

Upatnieks, J.

J. Opt. Soc. Am.

J. Opt. Soc. Am. A

Opt. Eng.

U. Schnars, T. M. Kreis, and W. P. O. Jüptner, Opt. Eng. 35, 977 (1996).
[CrossRef]

Proc. R. Soc. London Ser. A

D. Gabor, Proc. R. Soc. London Ser. A 197, 454 (1949).
[CrossRef]

Proc. SPIE

T. M. Kreis, W. P. O. Jüptner, and J. Geldmacher, Proc. SPIE 3478, 45 (1988).
[CrossRef]

E. Cuche, P. Poscio, and C. Depeursinge, Proc. SPIE 3196, 24 (1998).
[CrossRef]

Other

M. Gross, F. Le Clerc, and L. Collot, presented at Wave and Imaging in Complex Media, Cargèse, France, August 30–September 3, 1999.

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Figures (5)

Fig. 1
Fig. 1

Experimental setup: L, He–Ne laser; other abbreviations defined in text.

Fig. 2
Fig. 2

SF system:  LO, local oscillator; other abbreviations defined in text.

Fig. 3
Fig. 3

(a) Contact image of the slit (b) cut along AA: filled squares, experimental intensity points; dashed lines, initial slit; solid curve, theoretical intensity profile.

Fig. 4
Fig. 4

Contact image of a U.S. Air Force test chart target at D=58 cm. Right, image on focus; left, 1.2-mm out-of-focus image.

Fig. 5
Fig. 5

Contact images of black characters printed on diffusive plastic sheets with (top) and without (bottom) a SF.

Equations (4)

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

It=ES+ER exp2iπδft2,
ES=1LER*l=0L-1Il expi2πlL,
θθmax=λ/2dpixel,
ESx,y,z=D=expik0DPz=DESx,y,z=0,  Px,y,z=1iλz expik02zx2+y2.

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