Abstract

A technique for enhanced deterministic phase retrieval using a partially developed speckle field (PDSF) and a spatial light modulator (SLM) is demonstrated experimentally. A smooth test wavefront impinges on a phase diffuser, forming a PDSF that is directed to a 4f setup. Two defocused speckle intensity measurements are recorded at the output plane corresponding to axially-propagated representations of the PDSF in the input plane. The speckle intensity measurements are then used in a conventional transport of intensity equation (TIE) to reconstruct directly the test wavefront. The PDSF in our technique increases the dynamic range of the axial intensity derivative for smooth phase objects, resulting in a more robust solution to the TIE. The SLM setup enables a fast and accurate recording of speckle intensity. Experimental results are in good agreement with those obtained using the iterative phase retrieval and digital holographic methods of wavefront reconstruction.

© 2012 Optical Society of America

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References

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M. Bellegia, M. Schofield, V. Volkov, and Z. Zhu, Ultramicroscopy 102, 37 (2004).
[CrossRef]

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1983 (1)

Agour, M.

Almoro, P. F.

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[CrossRef]

Bergmann, R. B.

Dorrer, C.

Falldorf, C.

Hanson, S. G.

Kohler, C.

Nugent, K. A.

Osten, W.

Paganin, D.

Pedrini, G.

Ponda, S.

Roberts, A.

Schofield, M.

M. Bellegia, M. Schofield, V. Volkov, and Z. Zhu, Ultramicroscopy 102, 37 (2004).
[CrossRef]

Teague, M. R.

Tian, L.

Tsang, M.

Volkov, V.

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[CrossRef]

von Kopylow, C.

Waller, L.

Yang, S. Y.

Zhang, F.

Zhu, Z.

M. Bellegia, M. Schofield, V. Volkov, and Z. Zhu, Ultramicroscopy 102, 37 (2004).
[CrossRef]

Zuegel, J. D.

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Figures (4)

Fig. 1.
Fig. 1.

Schematic of deterministic phase retrieval using a partially developed speckle field and a spatial light modulator.

Fig. 2.
Fig. 2.

Intensity patterns and the axial intensity derivative for setups (a)–(c) without and (d)–(f) with a phase diffuser.

Fig. 3.
Fig. 3.

Reconstructed wavefront phase, focused intensity, and digitally wrapped phase map for setups (a)–(c) without and (d)–(f) with a phase diffuser.

Fig. 4.
Fig. 4.

(a)–(c) Intensity patterns and (d)–(f) phase maps reconstructed using digital holography, multiple-intensity iterative PR, and the proposed determinsitic PR technique.

Equations (1)

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ψ˜(u,v)=F(u,v)4π2(u2+v2+ε),

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