We propose a numerical wavefront manipulation method for synthesizing a new interference term from two digital holograms recorded using the same reference wavefront. The interference term of interest is synthesized indirectly, and its reconstructed image is unaffected by the reference wavefront used during hologram recording. We present experimental results of the indirect synthesis of the interference term corresponding to the lensless Fourier hologram using the Fresnel hologram.

© 2008 Optical Society of America

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2006 (1)

2003 (1)

2000 (3)

1999 (1)

1997 (1)

1994 (1)

Aspert, N.

Charrière, F.

Colomb, T.

Coppola, G.

Cuche, E.

Depeursinge, C.

Ferraro, P.

Finizio, A.

Grilli, S.

Javidi, B.

Jüptner, W.

Kühn, J.

Magro, C.

Marquet, P.

Massig, J. H.

Nicola, S. D.

Pierattini, G.

Schnars, U.

Stadelmaier, A.

Tajahuerce, E.

Yamaguchi, I.

Zhang, T.

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Figures (4)

Fig. 1
Fig. 1

Experimental setup: BS, beam splitter; BE, beam expander; NDF, neutral-density filter; M, mirror; OL, objective lens; S, shutter; O, object; and PH, pinhole.

Fig. 2
Fig. 2

Phase distribution of the reference wavefront in the case of (a) a plane wave and (b) a phase-distorted wave.

Fig. 3
Fig. 3

Reconstructed images of the digital Fresnel hologram using the plane reference wave of (a) the point source and (b) the target, (c) magnified phase distribution of the target image in (b), and (d) magnified phase distribution of the target image obtained after using a phase-distorted wave as the reference wavefront.

Fig. 4
Fig. 4

Reconstructed image and phase distribution using (a) and (b) indirect synthesis with a plane reference wave, and (c) and (d) indirect synthesis with a phase-distorted reference wave.

Equations (2)

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I ̂ A R I ̂ B R = A B R 2 e j 2 k x sin θ + A * B * R 2 e j 2 k x sin θ + A B * R 2 + A * B R 2 ,
LPF [ I ̂ A R I ̂ B R ] = ( A B * + A * B ) R 2 ,