Abstract

Numerical refocusing can be seen as a method of compensating the defocus aberration based on deconvolution by inverse filtering [1] in digital holographic microscopy (DHM). It is well-understood in cases when a coherent (ie point and monochromatic) light source such as a collimated laser beam is used [2]. This paper extends the theory to the case of illumination by a quasi-monochromatic extended (spatially incoherent) source. Refocusing methods for spatially incoherent illumination are derived and benefits of this type of illumination are demonstrated. We have proved both theoretically and experimentally that coherent-based refocusing gives incorrect results for extended-source illumination, while results obtained using the newly derived method are correct.

© 2013 Optical Society of America

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  1. M. Týč and R. Chmelík, “Numerical refocusing of planar samples unlimited,” Proc. SPIE7746774620 (2010).
    [CrossRef]
  2. F. Dubois, L. Joannes, and J. Legros, “Improved three-dimensional imaging with a digital holography microscope with a source of partial spatial coherence,” Appl. Opt.38, 7085–7094 (1999).
    [CrossRef]
  3. L. Lovicar, J. Komrska, and R. Chmelík, “Quantitative-phase-contrast imaging of a two-level surface described as a 2D linear filtering process,” Opt. Express18, 20585–20594 (2010).
    [CrossRef] [PubMed]
  4. R. Barer, “Interference microscopy and mass determination,” Nature (London)169, 366–367 (1952).
    [CrossRef]
  5. Y. Cotte, F. Toy, C. Arfire, S. Kou, D. Boss, I. Bergoënd, and C. Depeursinge, “Realistic 3D coherent transfer function inverse filtering of complex fields,” Biomed. Opt. Express2, 2216–2230 (2011).
    [CrossRef] [PubMed]
  6. F. Dubois, C. Yourassowsky, N. Callens, C. Minetti, and P. Queeckers, “Applications of digital holographic microscopes with partially spatial coherence sources,” JPCS, 139(IOP Publishing, 2008), p. 012027.
  7. T. Kozacki and R. Jóźwicki, “Digital reconstruction of a hologram recorded using partially coherent illumination,” Opt Commun252, 188–201 (2005).
    [CrossRef]
  8. T. Slabý, P. Kolman, Z. Dostál, M. Antoš, M. Lošt’ák, and R. Chmelík, “Off-axis setup taking full advantage of incoherent illumination in coherence-controlled holographic microscope,” Opt. Express21, 14747–14762 (2013).
    [CrossRef] [PubMed]
  9. F. Dubois, M. Novella Requena, C. Minetti, O. Monnom, and E. Istasse, “Partial spatial coherence effects in digital holographic microscopy with a laser source,” Appl. Opt.43, 1131–1139 (2004).
    [CrossRef] [PubMed]
  10. F. Dubois, O. Monnom, C. Yourassowsky, and J–C. Legros, “Border processing in digital holography by extension of the digital hologram and reduction of the higher spatial frequencies,” Appl. Opt.41, 2621–2626 (2002).
    [CrossRef] [PubMed]
  11. F. Dubois, C. Schockaert, N. Callens, and C. Yourassowsky, “Focus plane detection criteria in digital holography microscopy by amplitude analysis,” Opt. Express14, 5895–5908 (2006).
    [CrossRef] [PubMed]
  12. O. Carriere, J. Hermand, and F. Dubois, “Underwater microorganisms observation with off-axis digital holography microscopy using partially coherent illumination,” in “OCEANS 2011,” (IEEE, 2011), pp. 1–7.
  13. P. Kolman and R. Chmelík, “Coherence-controlled holographic microscope,” Opt. Express18, 21990–22003 (2010).
    [CrossRef] [PubMed]
  14. R. Chmelík, “Three-dimensional scalar imaging in high-aperture low-coherence interference and holographic microscopes,” J. Mod. Opt.53, 2673–2689 (2006).
    [CrossRef]
  15. J. W. Goodman, Introduction to Fourier optics (McGraw-Hill, 1996), international editions 1996
  16. Y. Cotte, M. Toy, N. Pavillon, and C. Depeursinge, “Microscopy image resolution improvement by deconvolution of complex fields,” Opt. Express18, 19462–19478 (2010).
    [CrossRef] [PubMed]
  17. R. Chmelík and Z. Harna, “Parallel-mode confocal microscope,” Opt. Eng.38, 1635–1639 (1999).
    [CrossRef]
  18. L. Lovicar, L. Kvasnica, and R. Chmelík, “Surface observation and measurement by means of digital holographic microscope with arbitrary degree of coherence,” Proc. SPIE, 7141p. 71411S (2008).
    [CrossRef]
  19. Y. Geerts, M. Steyaert, and W. Sansen, Design of multi-bit delta-sigma A/D converters, vol. 686 (Springer, 2002).
  20. F. Harris, “On the use of windows for harmonic analysis with the discrete Fourier transform,” Proc. IEEE66, 51–83 (1978).
    [CrossRef]
  21. E. Olson, “On computing the average orientation of vectors and lines,” in “Robotics and Automation (ICRA)”, Proc. IEEE, pp. 3869–3874, (2011).
  22. C. Agostinelli and U. Lund, R package circular: Circular Statistics (version 0.4-3), CA: Department of Environmental Sciences, Informatics and Statistics, Ca’ Foscari University, Venice, Italy. UL: Department of Statistics, California Polytechnic State University, San Luis Obispo, California, USA (2011).

2013 (1)

2011 (1)

2010 (4)

2008 (1)

L. Lovicar, L. Kvasnica, and R. Chmelík, “Surface observation and measurement by means of digital holographic microscope with arbitrary degree of coherence,” Proc. SPIE, 7141p. 71411S (2008).
[CrossRef]

2006 (2)

R. Chmelík, “Three-dimensional scalar imaging in high-aperture low-coherence interference and holographic microscopes,” J. Mod. Opt.53, 2673–2689 (2006).
[CrossRef]

F. Dubois, C. Schockaert, N. Callens, and C. Yourassowsky, “Focus plane detection criteria in digital holography microscopy by amplitude analysis,” Opt. Express14, 5895–5908 (2006).
[CrossRef] [PubMed]

2005 (1)

T. Kozacki and R. Jóźwicki, “Digital reconstruction of a hologram recorded using partially coherent illumination,” Opt Commun252, 188–201 (2005).
[CrossRef]

2004 (1)

2002 (1)

1999 (2)

1978 (1)

F. Harris, “On the use of windows for harmonic analysis with the discrete Fourier transform,” Proc. IEEE66, 51–83 (1978).
[CrossRef]

1952 (1)

R. Barer, “Interference microscopy and mass determination,” Nature (London)169, 366–367 (1952).
[CrossRef]

Agostinelli, C.

C. Agostinelli and U. Lund, R package circular: Circular Statistics (version 0.4-3), CA: Department of Environmental Sciences, Informatics and Statistics, Ca’ Foscari University, Venice, Italy. UL: Department of Statistics, California Polytechnic State University, San Luis Obispo, California, USA (2011).

Antoš, M.

Arfire, C.

Barer, R.

R. Barer, “Interference microscopy and mass determination,” Nature (London)169, 366–367 (1952).
[CrossRef]

Bergoënd, I.

Boss, D.

Callens, N.

F. Dubois, C. Schockaert, N. Callens, and C. Yourassowsky, “Focus plane detection criteria in digital holography microscopy by amplitude analysis,” Opt. Express14, 5895–5908 (2006).
[CrossRef] [PubMed]

F. Dubois, C. Yourassowsky, N. Callens, C. Minetti, and P. Queeckers, “Applications of digital holographic microscopes with partially spatial coherence sources,” JPCS, 139(IOP Publishing, 2008), p. 012027.

Carriere, O.

O. Carriere, J. Hermand, and F. Dubois, “Underwater microorganisms observation with off-axis digital holography microscopy using partially coherent illumination,” in “OCEANS 2011,” (IEEE, 2011), pp. 1–7.

Chmelík, R.

T. Slabý, P. Kolman, Z. Dostál, M. Antoš, M. Lošt’ák, and R. Chmelík, “Off-axis setup taking full advantage of incoherent illumination in coherence-controlled holographic microscope,” Opt. Express21, 14747–14762 (2013).
[CrossRef] [PubMed]

L. Lovicar, J. Komrska, and R. Chmelík, “Quantitative-phase-contrast imaging of a two-level surface described as a 2D linear filtering process,” Opt. Express18, 20585–20594 (2010).
[CrossRef] [PubMed]

M. Týč and R. Chmelík, “Numerical refocusing of planar samples unlimited,” Proc. SPIE7746774620 (2010).
[CrossRef]

P. Kolman and R. Chmelík, “Coherence-controlled holographic microscope,” Opt. Express18, 21990–22003 (2010).
[CrossRef] [PubMed]

L. Lovicar, L. Kvasnica, and R. Chmelík, “Surface observation and measurement by means of digital holographic microscope with arbitrary degree of coherence,” Proc. SPIE, 7141p. 71411S (2008).
[CrossRef]

R. Chmelík, “Three-dimensional scalar imaging in high-aperture low-coherence interference and holographic microscopes,” J. Mod. Opt.53, 2673–2689 (2006).
[CrossRef]

R. Chmelík and Z. Harna, “Parallel-mode confocal microscope,” Opt. Eng.38, 1635–1639 (1999).
[CrossRef]

Cotte, Y.

Depeursinge, C.

Dostál, Z.

Dubois, F.

Geerts, Y.

Y. Geerts, M. Steyaert, and W. Sansen, Design of multi-bit delta-sigma A/D converters, vol. 686 (Springer, 2002).

Goodman, J. W.

J. W. Goodman, Introduction to Fourier optics (McGraw-Hill, 1996), international editions 1996

Harna, Z.

R. Chmelík and Z. Harna, “Parallel-mode confocal microscope,” Opt. Eng.38, 1635–1639 (1999).
[CrossRef]

Harris, F.

F. Harris, “On the use of windows for harmonic analysis with the discrete Fourier transform,” Proc. IEEE66, 51–83 (1978).
[CrossRef]

Hermand, J.

O. Carriere, J. Hermand, and F. Dubois, “Underwater microorganisms observation with off-axis digital holography microscopy using partially coherent illumination,” in “OCEANS 2011,” (IEEE, 2011), pp. 1–7.

Istasse, E.

Joannes, L.

Józwicki, R.

T. Kozacki and R. Jóźwicki, “Digital reconstruction of a hologram recorded using partially coherent illumination,” Opt Commun252, 188–201 (2005).
[CrossRef]

Kolman, P.

Komrska, J.

Kou, S.

Kozacki, T.

T. Kozacki and R. Jóźwicki, “Digital reconstruction of a hologram recorded using partially coherent illumination,” Opt Commun252, 188–201 (2005).
[CrossRef]

Kvasnica, L.

L. Lovicar, L. Kvasnica, and R. Chmelík, “Surface observation and measurement by means of digital holographic microscope with arbitrary degree of coherence,” Proc. SPIE, 7141p. 71411S (2008).
[CrossRef]

Legros, J.

Legros, J–C.

Lošt’ák, M.

Lovicar, L.

L. Lovicar, J. Komrska, and R. Chmelík, “Quantitative-phase-contrast imaging of a two-level surface described as a 2D linear filtering process,” Opt. Express18, 20585–20594 (2010).
[CrossRef] [PubMed]

L. Lovicar, L. Kvasnica, and R. Chmelík, “Surface observation and measurement by means of digital holographic microscope with arbitrary degree of coherence,” Proc. SPIE, 7141p. 71411S (2008).
[CrossRef]

Lund, U.

C. Agostinelli and U. Lund, R package circular: Circular Statistics (version 0.4-3), CA: Department of Environmental Sciences, Informatics and Statistics, Ca’ Foscari University, Venice, Italy. UL: Department of Statistics, California Polytechnic State University, San Luis Obispo, California, USA (2011).

Minetti, C.

F. Dubois, M. Novella Requena, C. Minetti, O. Monnom, and E. Istasse, “Partial spatial coherence effects in digital holographic microscopy with a laser source,” Appl. Opt.43, 1131–1139 (2004).
[CrossRef] [PubMed]

F. Dubois, C. Yourassowsky, N. Callens, C. Minetti, and P. Queeckers, “Applications of digital holographic microscopes with partially spatial coherence sources,” JPCS, 139(IOP Publishing, 2008), p. 012027.

Monnom, O.

Novella Requena, M.

Olson, E.

E. Olson, “On computing the average orientation of vectors and lines,” in “Robotics and Automation (ICRA)”, Proc. IEEE, pp. 3869–3874, (2011).

Pavillon, N.

Queeckers, P.

F. Dubois, C. Yourassowsky, N. Callens, C. Minetti, and P. Queeckers, “Applications of digital holographic microscopes with partially spatial coherence sources,” JPCS, 139(IOP Publishing, 2008), p. 012027.

Sansen, W.

Y. Geerts, M. Steyaert, and W. Sansen, Design of multi-bit delta-sigma A/D converters, vol. 686 (Springer, 2002).

Schockaert, C.

Slabý, T.

Steyaert, M.

Y. Geerts, M. Steyaert, and W. Sansen, Design of multi-bit delta-sigma A/D converters, vol. 686 (Springer, 2002).

Toy, F.

Toy, M.

Týc, M.

M. Týč and R. Chmelík, “Numerical refocusing of planar samples unlimited,” Proc. SPIE7746774620 (2010).
[CrossRef]

Yourassowsky, C.

Appl. Opt. (3)

Biomed. Opt. Express (1)

J. Mod. Opt. (1)

R. Chmelík, “Three-dimensional scalar imaging in high-aperture low-coherence interference and holographic microscopes,” J. Mod. Opt.53, 2673–2689 (2006).
[CrossRef]

Nature (London) (1)

R. Barer, “Interference microscopy and mass determination,” Nature (London)169, 366–367 (1952).
[CrossRef]

Opt Commun (1)

T. Kozacki and R. Jóźwicki, “Digital reconstruction of a hologram recorded using partially coherent illumination,” Opt Commun252, 188–201 (2005).
[CrossRef]

Opt. Eng. (1)

R. Chmelík and Z. Harna, “Parallel-mode confocal microscope,” Opt. Eng.38, 1635–1639 (1999).
[CrossRef]

Opt. Express (5)

Proc. IEEE (1)

F. Harris, “On the use of windows for harmonic analysis with the discrete Fourier transform,” Proc. IEEE66, 51–83 (1978).
[CrossRef]

Proc. SPIE (2)

L. Lovicar, L. Kvasnica, and R. Chmelík, “Surface observation and measurement by means of digital holographic microscope with arbitrary degree of coherence,” Proc. SPIE, 7141p. 71411S (2008).
[CrossRef]

M. Týč and R. Chmelík, “Numerical refocusing of planar samples unlimited,” Proc. SPIE7746774620 (2010).
[CrossRef]

Other (6)

Y. Geerts, M. Steyaert, and W. Sansen, Design of multi-bit delta-sigma A/D converters, vol. 686 (Springer, 2002).

J. W. Goodman, Introduction to Fourier optics (McGraw-Hill, 1996), international editions 1996

O. Carriere, J. Hermand, and F. Dubois, “Underwater microorganisms observation with off-axis digital holography microscopy using partially coherent illumination,” in “OCEANS 2011,” (IEEE, 2011), pp. 1–7.

F. Dubois, C. Yourassowsky, N. Callens, C. Minetti, and P. Queeckers, “Applications of digital holographic microscopes with partially spatial coherence sources,” JPCS, 139(IOP Publishing, 2008), p. 012027.

E. Olson, “On computing the average orientation of vectors and lines,” in “Robotics and Automation (ICRA)”, Proc. IEEE, pp. 3869–3874, (2011).

C. Agostinelli and U. Lund, R package circular: Circular Statistics (version 0.4-3), CA: Department of Environmental Sciences, Informatics and Statistics, Ca’ Foscari University, Venice, Italy. UL: Department of Statistics, California Polytechnic State University, San Luis Obispo, California, USA (2011).

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