Total aberrations compensation in digital holographic microscopy with a reference conjugated hologram

Tristan Colomb; Jonas Kühn; Florian Charrière; Christian Depeursinge; Pierre Marquet; Nicolas Aspert

doi:10.1364/OE.14.004300

Total aberrations compensation in digital holographic microscopy with a reference conjugated hologram

Tristan Colomb, Jonas Kühn, Florian Charrière, Christian Depeursinge, Pierre Marquet, and Nicolas Aspert

Optics Express
Vol. 14,
Issue 10,
pp. 4300-4306
(2006)
•https://doi.org/10.1364/OE.14.004300

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Tristan Colomb, Jonas Kühn, Florian Charrière, Christian Depeursinge, Pierre Marquet, and Nicolas Aspert, "Total aberrations compensation in digital holographic microscopy with a reference conjugated hologram," Opt. Express 14, 4300-4306 (2006)

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Related Topics
Table of Contents Category
- Holography
Optics & Photonics Topics
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The topics in this list come from the OSA Optics and Photonics Topics applied to this article.
Previously assigned OCIS codes
- Aberration compensation (090.1000)
- Computer holography (090.1760)
- Interference microscopy (180.3170)

About this Article
History
- Original Manuscript: March 21, 2006
- Revised Manuscript: May 3, 2006
- Manuscript Accepted: May 5, 2006
- Published: May 15, 2006
Virtual Issues
Virtual Journal for Biomedical Optics Vol. 1, Iss. 6

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Abstract

In this paper we present a new method to achieve quantitative phase contrast imaging in Digital Holographic Microscopy (DHM) that allows to compensate for phase aberrations and image distortion by recording of a single reference hologram. We demonstrate that in particular cases in which the studied specimen does not have abrupt edges, the specimen’s hologram itself can be used as reference hologram. We show that image distortion and phase aberrations introduced by a lens ball used as microscope objective are completely suppressed with our method. Finally the concept of self-conjugated reference hologram is applied on a biological sample (Trypanosoma Brucei) to maintain a spatial phase noise level under 3 degrees.

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References

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Year
|
Author
|
Publication

E. Cuche, P. Marquet, and C. Depeursinge, “Spatial filtering for zero-order and twin-image elimination in digital off-axis holography,” Appl. Opt. 39, 4070–4075 (2000).
[Crossref]
E. Cuche, P. Marquet, and C. Depeursinge, “Simultaneous amplitude-contrast and quantitative phase-contrast microscopy by numerical reconstruction of Fresnel off-axis holograms,” Appl. Opt. 38, 6994–7001 (1999).
[Crossref]
G. Pedrini, S. Schedin, and H. J. Tiziani, “Aberration compensation in digital holographic reconstruction of microscopic objects,” J. Mod. Opt. 48, 1035–1041 (2001).
P. Ferraro, S. D. Nicola, A. Finizio, G. Coppola, S. Grilli, C. Magro, and G. Pierattini, “Compensation of the inherent wave front curvature in digital holographic coherent microscopy for quantitative phase-contrast imaging,” Appl. Opt. 42, 1938–1946 (2003).
[Crossref] [PubMed]
A. Stadelmaier and J. H. Massig, “Compensation of lens aberrations in digital holography,” Opt. Lett. 25, 1630–1632 (2000).
[Crossref]
S. Grilli, P. Ferraro, S. D. Nicola, A. Finizio, G. Pierattini, and R. Meucci, “Whole optical wavefields reconstruction by digital holography,” Opt. Express 9, 294–302 (2001).
[Crossref] [PubMed]
S. de Nicola, A. Finizio, G. Pierattini, P. Ferraro, and D. Alfieri, “Angular spectrum method with correction of anamorphism for numerical reconstruction of digital holograms on tilted planes,” Opt. Express 13, 9935–9940 (2005).
[Crossref] [PubMed]
T. Colomb, E. Cuche, F. Charrière, J. Kühn, N. Aspert, F. Montfort, P. Marquet, and C. Depeursinge, “Automatic procedure for aberration compensation in digital holographic microscopy and applications to specimen shape compensation,” Appl. Opt. 45, 851–863 (2006).
[Crossref] [PubMed]
T. Colomb, F. Montfort, J. Kühn, N. Aspert, E. Cuche, A. Marian, F. Charrière, S. Bourquin, and C. Depeursinge, “A numerical parametric lens for shifting, magnification and complete aberration compensation in digital holographic microscopy,” J. Opt. Soc. Am. A (submitted) (2006).
[Crossref]
J. Upatnieks, A. V. Lugt, and E. Leith, “Correction of lens aberrations by means of holograms,” Appl. Opt. 5, 589–593 (1966).
[Crossref] [PubMed]
J. Ward, D. Auth, and F. P. Carlson, “Lens Aberration Correction by Holography,” Appl. Opt. 10, 896–900 (1971).
[Crossref] [PubMed]
C. J. Mann, L. Yu, C.-M. Lo, and M. K. Kim, “High-resolution quantitative phase-contrast microscopy by digital holography,” Opt. Express 13, 8693–8698 (2005).
[Crossref] [PubMed]

2001 (2)

G. Pedrini, S. Schedin, and H. J. Tiziani, “Aberration compensation in digital holographic reconstruction of microscopic objects,” J. Mod. Opt. 48, 1035–1041 (2001).

S. Grilli, P. Ferraro, S. D. Nicola, A. Finizio, G. Pierattini, and R. Meucci, “Whole optical wavefields reconstruction by digital holography,” Opt. Express 9, 294–302 (2001).
[Crossref] [PubMed]

2000 (2)

A. Stadelmaier and J. H. Massig, “Compensation of lens aberrations in digital holography,” Opt. Lett. 25, 1630–1632 (2000).
[Crossref]

E. Cuche, P. Marquet, and C. Depeursinge, “Spatial filtering for zero-order and twin-image elimination in digital off-axis holography,” Appl. Opt. 39, 4070–4075 (2000).
[Crossref]

1999 (1)

E. Cuche, P. Marquet, and C. Depeursinge, “Simultaneous amplitude-contrast and quantitative phase-contrast microscopy by numerical reconstruction of Fresnel off-axis holograms,” Appl. Opt. 38, 6994–7001 (1999).
[Crossref]

1971 (1)

J. Ward, D. Auth, and F. P. Carlson, “Lens Aberration Correction by Holography,” Appl. Opt. 10, 896–900 (1971).
[Crossref] [PubMed]

1966 (1)

J. Upatnieks, A. V. Lugt, and E. Leith, “Correction of lens aberrations by means of holograms,” Appl. Opt. 5, 589–593 (1966).
[Crossref] [PubMed]

Alfieri, D.

Aspert, N.

T. Colomb, F. Montfort, J. Kühn, N. Aspert, E. Cuche, A. Marian, F. Charrière, S. Bourquin, and C. Depeursinge, “A numerical parametric lens for shifting, magnification and complete aberration compensation in digital holographic microscopy,” J. Opt. Soc. Am. A (submitted) (2006).
[Crossref]

Auth, D.

J. Ward, D. Auth, and F. P. Carlson, “Lens Aberration Correction by Holography,” Appl. Opt. 10, 896–900 (1971).
[Crossref] [PubMed]

Bourquin, S.

Carlson, F. P.

J. Ward, D. Auth, and F. P. Carlson, “Lens Aberration Correction by Holography,” Appl. Opt. 10, 896–900 (1971).
[Crossref] [PubMed]

Charrière, F.

Colomb, T.

Coppola, G.

Cuche, E.

E. Cuche, P. Marquet, and C. Depeursinge, “Spatial filtering for zero-order and twin-image elimination in digital off-axis holography,” Appl. Opt. 39, 4070–4075 (2000).
[Crossref]

de Nicola, S.

Depeursinge, C.

E. Cuche, P. Marquet, and C. Depeursinge, “Spatial filtering for zero-order and twin-image elimination in digital off-axis holography,” Appl. Opt. 39, 4070–4075 (2000).
[Crossref]

Ferraro, P.

Finizio, A.

Grilli, S.

Kim, M. K.

C. J. Mann, L. Yu, C.-M. Lo, and M. K. Kim, “High-resolution quantitative phase-contrast microscopy by digital holography,” Opt. Express 13, 8693–8698 (2005).
[Crossref] [PubMed]

Kühn, J.

Leith, E.

J. Upatnieks, A. V. Lugt, and E. Leith, “Correction of lens aberrations by means of holograms,” Appl. Opt. 5, 589–593 (1966).
[Crossref] [PubMed]

Lo, C.-M.

C. J. Mann, L. Yu, C.-M. Lo, and M. K. Kim, “High-resolution quantitative phase-contrast microscopy by digital holography,” Opt. Express 13, 8693–8698 (2005).
[Crossref] [PubMed]

Lugt, A. V.

J. Upatnieks, A. V. Lugt, and E. Leith, “Correction of lens aberrations by means of holograms,” Appl. Opt. 5, 589–593 (1966).
[Crossref] [PubMed]

Magro, C.

Mann, C. J.

C. J. Mann, L. Yu, C.-M. Lo, and M. K. Kim, “High-resolution quantitative phase-contrast microscopy by digital holography,” Opt. Express 13, 8693–8698 (2005).
[Crossref] [PubMed]

Marian, A.

Marquet, P.

E. Cuche, P. Marquet, and C. Depeursinge, “Spatial filtering for zero-order and twin-image elimination in digital off-axis holography,” Appl. Opt. 39, 4070–4075 (2000).
[Crossref]

Massig, J. H.

A. Stadelmaier and J. H. Massig, “Compensation of lens aberrations in digital holography,” Opt. Lett. 25, 1630–1632 (2000).
[Crossref]

Meucci, R.

Montfort, F.

Nicola, S. D.

Pedrini, G.

G. Pedrini, S. Schedin, and H. J. Tiziani, “Aberration compensation in digital holographic reconstruction of microscopic objects,” J. Mod. Opt. 48, 1035–1041 (2001).

Pierattini, G.

Schedin, S.

G. Pedrini, S. Schedin, and H. J. Tiziani, “Aberration compensation in digital holographic reconstruction of microscopic objects,” J. Mod. Opt. 48, 1035–1041 (2001).

Stadelmaier, A.

A. Stadelmaier and J. H. Massig, “Compensation of lens aberrations in digital holography,” Opt. Lett. 25, 1630–1632 (2000).
[Crossref]

Tiziani, H. J.

G. Pedrini, S. Schedin, and H. J. Tiziani, “Aberration compensation in digital holographic reconstruction of microscopic objects,” J. Mod. Opt. 48, 1035–1041 (2001).

Upatnieks, J.

J. Upatnieks, A. V. Lugt, and E. Leith, “Correction of lens aberrations by means of holograms,” Appl. Opt. 5, 589–593 (1966).
[Crossref] [PubMed]

Ward, J.

J. Ward, D. Auth, and F. P. Carlson, “Lens Aberration Correction by Holography,” Appl. Opt. 10, 896–900 (1971).
[Crossref] [PubMed]

Yu, L.

C. J. Mann, L. Yu, C.-M. Lo, and M. K. Kim, “High-resolution quantitative phase-contrast microscopy by digital holography,” Opt. Express 13, 8693–8698 (2005).
[Crossref] [PubMed]

Appl. Opt. (6)

E. Cuche, P. Marquet, and C. Depeursinge, “Spatial filtering for zero-order and twin-image elimination in digital off-axis holography,” Appl. Opt. 39, 4070–4075 (2000).
[Crossref]

J. Upatnieks, A. V. Lugt, and E. Leith, “Correction of lens aberrations by means of holograms,” Appl. Opt. 5, 589–593 (1966).
[Crossref] [PubMed]

J. Ward, D. Auth, and F. P. Carlson, “Lens Aberration Correction by Holography,” Appl. Opt. 10, 896–900 (1971).
[Crossref] [PubMed]

J. Mod. Opt. (1)

G. Pedrini, S. Schedin, and H. J. Tiziani, “Aberration compensation in digital holographic reconstruction of microscopic objects,” J. Mod. Opt. 48, 1035–1041 (2001).

Opt. Express (3)

C. J. Mann, L. Yu, C.-M. Lo, and M. K. Kim, “High-resolution quantitative phase-contrast microscopy by digital holography,” Opt. Express 13, 8693–8698 (2005).
[Crossref] [PubMed]

Opt. Lett. (1)

A. Stadelmaier and J. H. Massig, “Compensation of lens aberrations in digital holography,” Opt. Lett. 25, 1630–1632 (2000).
[Crossref]

Other (1)

Supplementary Material (1)

» Media 1: MOV (2433 KB)

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Fig. 1. Digital holographic microscope, (a) transmission and (b) reflection setups. O object wave; R reference wave; BS beam splitter; M1, M2 mirrors; MO microscope objective, RL lens in the reference wave, OC condenser in the object wave, FL field lens and LB lens ball.(c) Detail of the off-axis geometry.

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Fig. 2. 256×256 pixels area of 512×512 pixels holograms and spectra with lens ball as MO, the zero-order term is already filtered out; (a,b) are respectively the hologram with and without the USAF test target; (c,d) are the corresponding spectra. The white lines show the spectrum area of the virtual image that is retained after manual spatial filtering.

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Fig. 3. The first row represents the phase in the hologram plane, the second and third one the amplitude and phase reconstructions in image plane. (a) correction of the tilt in hologram plane done by centering the filtered spectrum and the aberrations are compensated in image plane using the fitting procedure detailed in Ref. [8]; (b) aberrations compensation with

Γ_{RCH}^{H}

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Fig. 4. (a) Hologram of Trypanosoma Brucei; (b) spectrum and detail of virtual image frequencies on the upper right; the green circle (80 pixels radius) delimits the frequency for the sample hologram and the small white one (10 pixels radius) the filtering for Self-RCH. The position of the circles’ center is computed automatically by detecting the maximum of amplitude spectrum.

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Fig. 5. (a) Phase reconstruction of Trypanosoma Brucei by Self-RCH method; (b) Schematic of the Trypanosoma Brucei. [Media 1]

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Equations (11)

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I_{H} (k, l) = (R + O) {(R + O)}^{*} = {∣ R ∣}^{2} + {∣ O ∣}^{2} + R^{*} O + R O^{*},

R (x, y) = ∣ R ∣ \cdot \exp [i (k_{x} x + k_{y} y)] \cdot \exp [i W_{R} (x, y)],

O_{0} (x, y) = ∣ O_{0} (x, y) ∣ \cdot \exp [i W_{O_{0}} (x, y)],

O (x, y) = ∣ O (x, y) ∣ \exp [i φ (x, y)] \cdot \exp [i W_{O_{0}} (x, y)],

Ψ_{CF} (m, n) = A \cdot {DFT}^{- 1} {DFT [R_{D} (k, l) I_{H} (k, l)] \cdot \exp [- i π λ d (ν_{k}^{2} + ν_{l}^{2})]} .

R_{D} = \exp [i (k_{x} k Δ x + k_{y} l Δ y)] .

Ψ_{CF} (m, n) = A \cdot {DFT}^{- 1} {DFT [Γ_{RCH}^{H} (k, l) I_{H}^{F} (k, l)] \cdot \exp [- i π λ d (ν_{k}^{2} + ν_{l}^{2})]},

I_{H}^{F} = R^{*} O = ∣ R ∣ ∣ O ∣ \exp [- i (k_{x} x + k_{y} y)] \exp [i (φ + W_{O_{0}} - W_{R})] .

I_{H}^{R, F} = R^{*} O_{0} = ∣ R ∣ ∣ O_{0} ∣ \exp [- i (k_{x} x + k_{y} y)] \exp [i (W_{O_{0}} - W_{R})] .

Γ_{RCH}^{H} (m, n) = \exp [i \arg (I_{H}^{R, F *})] = \exp [i (k_{x} x + k_{y} y)] \exp [- i (W_{O_{0}} - W_{R})] .

Γ_{RCH}^{H} (m, n) \cdot I_{H}^{F} = ∣ R ∣ ∣ O ∣ \exp [i φ (x, y)] .

Abstract

References

2006 (1)

2005 (2)

2003 (1)

2001 (2)

2000 (2)

1999 (1)

1971 (1)

1966 (1)

Alfieri, D.

Aspert, N.

Auth, D.

Bourquin, S.

Carlson, F. P.

Charrière, F.

Colomb, T.

Coppola, G.

Cuche, E.

de Nicola, S.

Depeursinge, C.

Ferraro, P.

Finizio, A.

Grilli, S.

Kim, M. K.

Kühn, J.

Leith, E.

Lo, C.-M.

Lugt, A. V.

Magro, C.

Mann, C. J.

Marian, A.

Marquet, P.

Massig, J. H.

Meucci, R.

Montfort, F.

Nicola, S. D.

Pedrini, G.

Pierattini, G.

Schedin, S.

Stadelmaier, A.

Tiziani, H. J.

Upatnieks, J.

Ward, J.

Yu, L.

Appl. Opt. (6)

J. Mod. Opt. (1)

Opt. Express (3)

Opt. Lett. (1)

Other (1)

Supplementary Material (1)

Cited By

Figures (5)

Equations (11)

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