Digital holography for quantitative phase-contrast imaging

Etienne Cuche; Frédéric Bevilacqua; Christian Depeursinge

doi:10.1364/OL.24.000291

Digital holography for quantitative phase-contrast imaging

Etienne Cuche, Frédéric Bevilacqua, and Christian Depeursinge

Optics Letters
Vol. 24,
Issue 5,
pp. 291-293
(1999)
•https://doi.org/10.1364/OL.24.000291

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Etienne Cuche, Frédéric Bevilacqua, and Christian Depeursinge, "Digital holography for quantitative phase-contrast imaging," Opt. Lett. 24, 291-293 (1999)

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Related Topics
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
- CCD, charge-coupled device (040.1520)
- Holography (090.0090)
- Metrology (120.3940)
- Phase measurement (120.5050)
- Three-dimensional sensing (150.6910)

About this Article
History
- Original Manuscript: November 16, 1998
- Published: March 1, 1999

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Abstract

We present a new application of digital holography for phase-contrast imaging and optical metrology. This holographic imaging technique uses a CCD camera for recording of a digital Fresnel off-axis hologram and a numerical method for hologram reconstruction. The method simultaneously provides an amplitude-contrast image and a quantitative phase-contrast image. An application to surface profilometry is presented and shows excellent agreement with contact-stylus probe measurements.

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References

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Article Order
|
Year
|
Author
|
Publication

M. Pluta, Non-Standard Techniques for Phase Contrast Microscopy, Vol. 6 of Advances in Optical and Electron Microscopy (Academic, London, 1975).
P. Gleyzes, A. C. Boccara, and H. Saint-Jalmes, Opt. Lett. 22, 1529 (1997).
[Crossref]
See, e.g., U. Brand and W. Hillman, Precis. Eng. 17, 23 (1995), and references therein.
U. Schnars and W. Jüptner, Appl. Opt. 33, 179 (1994).
[Crossref] [PubMed]
E. Cuche, P. Poscio, and C. Depeursinge, Proc. SPIE 2927, 61 (1996).
[Crossref]
U. Schnars, J. Opt. Soc. Am. A 11, 2011 (1994).
[Crossref]
L. P. Yaroslavskii and N. S. Merzlyakov, Methods of Digital Holography (Consultants Bureau, New York, 1980), Chap. 1.
[Crossref]

1997 (1)

P. Gleyzes, A. C. Boccara, and H. Saint-Jalmes, Opt. Lett. 22, 1529 (1997).
[Crossref]

1996 (1)

E. Cuche, P. Poscio, and C. Depeursinge, Proc. SPIE 2927, 61 (1996).
[Crossref]

1995 (1)

See, e.g., U. Brand and W. Hillman, Precis. Eng. 17, 23 (1995), and references therein.

1994 (2)

U. Schnars and W. Jüptner, Appl. Opt. 33, 179 (1994).
[Crossref] [PubMed]

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

Boccara, A. C.

P. Gleyzes, A. C. Boccara, and H. Saint-Jalmes, Opt. Lett. 22, 1529 (1997).
[Crossref]

Brand, U.

See, e.g., U. Brand and W. Hillman, Precis. Eng. 17, 23 (1995), and references therein.

Cuche, E.

E. Cuche, P. Poscio, and C. Depeursinge, Proc. SPIE 2927, 61 (1996).
[Crossref]

Depeursinge, C.

E. Cuche, P. Poscio, and C. Depeursinge, Proc. SPIE 2927, 61 (1996).
[Crossref]

Gleyzes, P.

P. Gleyzes, A. C. Boccara, and H. Saint-Jalmes, Opt. Lett. 22, 1529 (1997).
[Crossref]

Hillman, W.

See, e.g., U. Brand and W. Hillman, Precis. Eng. 17, 23 (1995), and references therein.

Jüptner, W.

U. Schnars and W. Jüptner, Appl. Opt. 33, 179 (1994).
[Crossref] [PubMed]

Merzlyakov, N. S.

L. P. Yaroslavskii and N. S. Merzlyakov, Methods of Digital Holography (Consultants Bureau, New York, 1980), Chap. 1.
[Crossref]

Pluta, M.

M. Pluta, Non-Standard Techniques for Phase Contrast Microscopy, Vol. 6 of Advances in Optical and Electron Microscopy (Academic, London, 1975).

Poscio, P.

E. Cuche, P. Poscio, and C. Depeursinge, Proc. SPIE 2927, 61 (1996).
[Crossref]

Saint-Jalmes, H.

P. Gleyzes, A. C. Boccara, and H. Saint-Jalmes, Opt. Lett. 22, 1529 (1997).
[Crossref]

Schnars, U.

U. Schnars and W. Jüptner, Appl. Opt. 33, 179 (1994).
[Crossref] [PubMed]

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

Yaroslavskii, L. P.

L. P. Yaroslavskii and N. S. Merzlyakov, Methods of Digital Holography (Consultants Bureau, New York, 1980), Chap. 1.
[Crossref]

Precis. Eng. (1)

See, e.g., U. Brand and W. Hillman, Precis. Eng. 17, 23 (1995), and references therein.

Proc. SPIE (1)

E. Cuche, P. Poscio, and C. Depeursinge, Proc. SPIE 2927, 61 (1996).
[Crossref]

Other (2)

L. P. Yaroslavskii and N. S. Merzlyakov, Methods of Digital Holography (Consultants Bureau, New York, 1980), Chap. 1.
[Crossref]

M. Pluta, Non-Standard Techniques for Phase Contrast Microscopy, Vol. 6 of Advances in Optical and Electron Microscopy (Academic, London, 1975).

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Fig. 1

Experimental setup: NF's, neutral-density filter's; M, mirror; $O$ , object wave; $R$ , reference wave. Inset, detail showing the off-axis geometry at the incidence of $O$ upon the CCD.

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Fig. 2

Reconstructed images obtained with a pure phase object: (a) amplitude contrast, (b) phase contrast, (c) three-dimensional perspective of the reconstructed height distribution (the vertical scale is not equal to the transverse scale).

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Fig. 3

Step-height measurement.

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Equations (7)

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

I_{H} (x, y) = {|R|}^{2} + {|O|}^{2} + R^{*} O + {RO}^{*},

I_{H} (k, l) = I_{H} (x, y) rect (\frac{x}{L}, \frac{y}{L}) \times \sum_{k}^{N} \sum_{l}^{N} δ (x - k Δ x, y - l Δ y),

Ψ (k Δ x, l Δ y) = R_{D} (k, l) I_{H} (k, l) = R_{D} {|R|}^{2} + R_{D} {|O|}^{2} + R_{D} R^{*} O + R_{D} {RO}^{*} .

R_{D} (k, l) = A_{R} exp [i \frac{2 π}{λ} (k_{x} k Δ x + k_{y} l Δ y)],

Ψ (m Δ ξ, n Δ η) = A exp [\frac{i π}{λ d} (m^{2} Δ ξ^{2} + n^{2} Δ η^{2})] \times FFT {\{R_{D} (k, l) I_{H} (k, l) exp [\frac{i π}{λ d} (k^{2} Δ x^{2} + l^{2} Δ y^{2})]\}}_{m, n},

Δ ξ = Δ η = λ d / L .

h (ξ, η) = (λ / 4 π) ϕ (ξ, η) .

Abstract

References

1997 (1)

1996 (1)

1995 (1)

1994 (2)

Boccara, A. C.

Brand, U.

Cuche, E.

Depeursinge, C.

Gleyzes, P.

Hillman, W.

Jüptner, W.

Merzlyakov, N. S.

Pluta, M.

Poscio, P.

Saint-Jalmes, H.

Schnars, U.

Yaroslavskii, L. P.

Appl. Opt. (1)

J. Opt. Soc. Am. A (1)

Opt. Lett. (1)

Precis. Eng. (1)

Proc. SPIE (1)

Other (2)

Cited By

Figures (3)

Equations (7)

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