Abstract

In this paper, we demonstrate how short temporal coherence digital holography with a femtosecond frequency comb laser source may be used for multi-level optical sectioning. The object shape is obtained by digitally reconstructing and processing a sequence of holograms recorded during stepwise shifting of a mirror in the reference arm. Experimental results are presented.

© 2012 OSA

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References

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  1. J. W. Goodman and R. W. Lawrence, “Digital image formation from electronically detected holograms,” Appl. Phys. Lett. 11(3), 77–79 (1967).
    [CrossRef]
  2. W. S. Haddad, D. Cullen, J. C. Solem, J. W. Longworth, A. McPherson, K. Boyer, and C. K. Rhodes, “Fourier-transform holographic microscope,” Appl. Opt. 31(24), 4973–4978 (1992).
    [CrossRef] [PubMed]
  3. U. Schnars, “Direct phase determination in hologram interferometry with use of digitally recorded holograms,” J. Opt. Soc. Am. A 11(7), 2011–2015 (1994).
    [CrossRef]
  4. I. Yamaguchi and T. Zhang, “Phase-shifting digital holography,” Opt. Lett. 22(16), 1268–1270 (1997).
    [CrossRef] [PubMed]
  5. C. Wagner, S. Seebacher, W. Osten, and W. Jüptner, “Digital recording and numerical reconstruction of lensless Fourier holograms in optical metrology,” Appl. Opt. 38(22), 4812–4820 (1999).
    [CrossRef] [PubMed]
  6. C. Wagner, W. Osten, and S. Seebacher, “Direct shape measurement by digital wavefront reconstruction and multiwavelength contouring,” Opt. Eng. 39(1), 79–85 (2000).
    [CrossRef]
  7. L. Martínez-León, G. Pedrini, and W. Osten, “Applications of short-coherence digital holography in microscopy,” Appl. Opt. 44(19), 3977–3984 (2005).
    [CrossRef] [PubMed]
  8. Y. C. Lin, C.-J. Cheng, and T. C. Poon, “Optical sectioning with a low-coherence phase-shifting digital holographic microscope,” Appl. Opt. 50(7), B25–B30 (2011).
    [CrossRef] [PubMed]
  9. C. Yuan, H. Zhai, X. Wang, and L. Wu, “Lensless digital holography with short coherence light source for three-dimensional surface contouring of reflecting micro objects,” Opt. Commun. 270(2), 176–179 (2007).
    [CrossRef]
  10. T. Udem, R. Holzwarth, and T. W. Hänsch, “Optical frequency metrology,” Nature 416(6877), 233–237 (2002).
    [CrossRef] [PubMed]
  11. P. Del’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth, and T. J. Kippenberg, “Optical frequency comb generation from a monolithic microresonator,” Nature 450(7173), 1214–1217 (2007).
    [CrossRef] [PubMed]
  12. T. J. Kippenberg, R. Holzwarth, and S. A. Diddams, “Microresonator-based optical frequency combs,” Science 332(6029), 555–559 (2011).
    [CrossRef] [PubMed]
  13. S. Hyun, Y.-J. Kim, Y. Kim, and S.-W. Kim, “Absolute distance measurement using the frequency comb of a femtosecond laser,” CIRP Annals Manufacturing Technology 59(1), 555–558 (2010).
    [CrossRef]
  14. S. Choi, M. Yamamoto, D. Moteki, T. Shioda, Y. Tanaka, and T. Kurokawa, “Frequency-comb-based interferometer for profilometry and tomography,” Opt. Lett. 31(13), 1976–1978 (2006).
    [CrossRef] [PubMed]
  15. T. Steinmetz, T. Wilken, C. Araujo-Hauck, R. Holzwarth, T. W. Hänsch, L. Pasquini, A. Manescau, S. D’Odorico, M. T. Murphy, T. Kentischer, W. Schmidt, and T. Udem, “Laser frequency combs for astronomical observations,” Science 321(5894), 1335–1337 (2008).
    [CrossRef] [PubMed]
  16. T. Wilken, C. Lovis, A. Manescau, T. Steinmetz, L. Pasquini, G. Lo Curto, T. W. Hänsch, R. Holzwarth, and T. Udem, “High-precision calibration of spectrographs,” Mon. Not. R. Astron. Soc. 405(1), L16–L20 (2010).
    [CrossRef]
  17. D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, “Analysis of the temporal coherence function of a femtosecond optical frequency comb,” Opt. Express 17(9), 7011–7018 (2009).
    [CrossRef] [PubMed]
  18. J. Schwider, “Multiple beam Fizeau interferometer with filtered frequency comb illumination,” Opt. Commun. 282(16), 3308–3324 (2009).
    [CrossRef]
  19. K. Körner, G. Pedrini, C. Pruss, and W. Osten, German patent application 10 2011 016 660 (to be published).
  20. M. Born and E. Wolf, Principles of Optics, 7nd ed. (Cambridge University Press, 2011), Chap. 10.
  21. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1988), Chap. 2.
  22. A. Ruehl, A. Marcinkevicius, M. E. Fermann, and I. Hartl, “80 W, 120 fs Yb-fiber frequency comb,” Opt. Lett. 35(18), 3015–3017 (2010).
    [CrossRef] [PubMed]

2011 (2)

Y. C. Lin, C.-J. Cheng, and T. C. Poon, “Optical sectioning with a low-coherence phase-shifting digital holographic microscope,” Appl. Opt. 50(7), B25–B30 (2011).
[CrossRef] [PubMed]

T. J. Kippenberg, R. Holzwarth, and S. A. Diddams, “Microresonator-based optical frequency combs,” Science 332(6029), 555–559 (2011).
[CrossRef] [PubMed]

2010 (3)

S. Hyun, Y.-J. Kim, Y. Kim, and S.-W. Kim, “Absolute distance measurement using the frequency comb of a femtosecond laser,” CIRP Annals Manufacturing Technology 59(1), 555–558 (2010).
[CrossRef]

T. Wilken, C. Lovis, A. Manescau, T. Steinmetz, L. Pasquini, G. Lo Curto, T. W. Hänsch, R. Holzwarth, and T. Udem, “High-precision calibration of spectrographs,” Mon. Not. R. Astron. Soc. 405(1), L16–L20 (2010).
[CrossRef]

A. Ruehl, A. Marcinkevicius, M. E. Fermann, and I. Hartl, “80 W, 120 fs Yb-fiber frequency comb,” Opt. Lett. 35(18), 3015–3017 (2010).
[CrossRef] [PubMed]

2009 (2)

2008 (1)

T. Steinmetz, T. Wilken, C. Araujo-Hauck, R. Holzwarth, T. W. Hänsch, L. Pasquini, A. Manescau, S. D’Odorico, M. T. Murphy, T. Kentischer, W. Schmidt, and T. Udem, “Laser frequency combs for astronomical observations,” Science 321(5894), 1335–1337 (2008).
[CrossRef] [PubMed]

2007 (2)

P. Del’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth, and T. J. Kippenberg, “Optical frequency comb generation from a monolithic microresonator,” Nature 450(7173), 1214–1217 (2007).
[CrossRef] [PubMed]

C. Yuan, H. Zhai, X. Wang, and L. Wu, “Lensless digital holography with short coherence light source for three-dimensional surface contouring of reflecting micro objects,” Opt. Commun. 270(2), 176–179 (2007).
[CrossRef]

2006 (1)

2005 (1)

2002 (1)

T. Udem, R. Holzwarth, and T. W. Hänsch, “Optical frequency metrology,” Nature 416(6877), 233–237 (2002).
[CrossRef] [PubMed]

2000 (1)

C. Wagner, W. Osten, and S. Seebacher, “Direct shape measurement by digital wavefront reconstruction and multiwavelength contouring,” Opt. Eng. 39(1), 79–85 (2000).
[CrossRef]

1999 (1)

1997 (1)

1994 (1)

1992 (1)

1967 (1)

J. W. Goodman and R. W. Lawrence, “Digital image formation from electronically detected holograms,” Appl. Phys. Lett. 11(3), 77–79 (1967).
[CrossRef]

Araujo-Hauck, C.

T. Steinmetz, T. Wilken, C. Araujo-Hauck, R. Holzwarth, T. W. Hänsch, L. Pasquini, A. Manescau, S. D’Odorico, M. T. Murphy, T. Kentischer, W. Schmidt, and T. Udem, “Laser frequency combs for astronomical observations,” Science 321(5894), 1335–1337 (2008).
[CrossRef] [PubMed]

Arcizet, O.

P. Del’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth, and T. J. Kippenberg, “Optical frequency comb generation from a monolithic microresonator,” Nature 450(7173), 1214–1217 (2007).
[CrossRef] [PubMed]

Boyer, K.

Cheng, C.-J.

Choi, S.

Cullen, D.

D’Odorico, S.

T. Steinmetz, T. Wilken, C. Araujo-Hauck, R. Holzwarth, T. W. Hänsch, L. Pasquini, A. Manescau, S. D’Odorico, M. T. Murphy, T. Kentischer, W. Schmidt, and T. Udem, “Laser frequency combs for astronomical observations,” Science 321(5894), 1335–1337 (2008).
[CrossRef] [PubMed]

Del’Haye, P.

P. Del’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth, and T. J. Kippenberg, “Optical frequency comb generation from a monolithic microresonator,” Nature 450(7173), 1214–1217 (2007).
[CrossRef] [PubMed]

Diddams, S. A.

T. J. Kippenberg, R. Holzwarth, and S. A. Diddams, “Microresonator-based optical frequency combs,” Science 332(6029), 555–559 (2011).
[CrossRef] [PubMed]

Fermann, M. E.

Goodman, J. W.

J. W. Goodman and R. W. Lawrence, “Digital image formation from electronically detected holograms,” Appl. Phys. Lett. 11(3), 77–79 (1967).
[CrossRef]

Haddad, W. S.

Hänsch, T. W.

T. Wilken, C. Lovis, A. Manescau, T. Steinmetz, L. Pasquini, G. Lo Curto, T. W. Hänsch, R. Holzwarth, and T. Udem, “High-precision calibration of spectrographs,” Mon. Not. R. Astron. Soc. 405(1), L16–L20 (2010).
[CrossRef]

T. Steinmetz, T. Wilken, C. Araujo-Hauck, R. Holzwarth, T. W. Hänsch, L. Pasquini, A. Manescau, S. D’Odorico, M. T. Murphy, T. Kentischer, W. Schmidt, and T. Udem, “Laser frequency combs for astronomical observations,” Science 321(5894), 1335–1337 (2008).
[CrossRef] [PubMed]

T. Udem, R. Holzwarth, and T. W. Hänsch, “Optical frequency metrology,” Nature 416(6877), 233–237 (2002).
[CrossRef] [PubMed]

Hartl, I.

Holzwarth, R.

T. J. Kippenberg, R. Holzwarth, and S. A. Diddams, “Microresonator-based optical frequency combs,” Science 332(6029), 555–559 (2011).
[CrossRef] [PubMed]

T. Wilken, C. Lovis, A. Manescau, T. Steinmetz, L. Pasquini, G. Lo Curto, T. W. Hänsch, R. Holzwarth, and T. Udem, “High-precision calibration of spectrographs,” Mon. Not. R. Astron. Soc. 405(1), L16–L20 (2010).
[CrossRef]

T. Steinmetz, T. Wilken, C. Araujo-Hauck, R. Holzwarth, T. W. Hänsch, L. Pasquini, A. Manescau, S. D’Odorico, M. T. Murphy, T. Kentischer, W. Schmidt, and T. Udem, “Laser frequency combs for astronomical observations,” Science 321(5894), 1335–1337 (2008).
[CrossRef] [PubMed]

P. Del’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth, and T. J. Kippenberg, “Optical frequency comb generation from a monolithic microresonator,” Nature 450(7173), 1214–1217 (2007).
[CrossRef] [PubMed]

T. Udem, R. Holzwarth, and T. W. Hänsch, “Optical frequency metrology,” Nature 416(6877), 233–237 (2002).
[CrossRef] [PubMed]

Hyun, S.

S. Hyun, Y.-J. Kim, Y. Kim, and S.-W. Kim, “Absolute distance measurement using the frequency comb of a femtosecond laser,” CIRP Annals Manufacturing Technology 59(1), 555–558 (2010).
[CrossRef]

Jüptner, W.

Kentischer, T.

T. Steinmetz, T. Wilken, C. Araujo-Hauck, R. Holzwarth, T. W. Hänsch, L. Pasquini, A. Manescau, S. D’Odorico, M. T. Murphy, T. Kentischer, W. Schmidt, and T. Udem, “Laser frequency combs for astronomical observations,” Science 321(5894), 1335–1337 (2008).
[CrossRef] [PubMed]

Kim, S.-W.

S. Hyun, Y.-J. Kim, Y. Kim, and S.-W. Kim, “Absolute distance measurement using the frequency comb of a femtosecond laser,” CIRP Annals Manufacturing Technology 59(1), 555–558 (2010).
[CrossRef]

Kim, Y.

S. Hyun, Y.-J. Kim, Y. Kim, and S.-W. Kim, “Absolute distance measurement using the frequency comb of a femtosecond laser,” CIRP Annals Manufacturing Technology 59(1), 555–558 (2010).
[CrossRef]

Kim, Y.-J.

S. Hyun, Y.-J. Kim, Y. Kim, and S.-W. Kim, “Absolute distance measurement using the frequency comb of a femtosecond laser,” CIRP Annals Manufacturing Technology 59(1), 555–558 (2010).
[CrossRef]

Kippenberg, T. J.

T. J. Kippenberg, R. Holzwarth, and S. A. Diddams, “Microresonator-based optical frequency combs,” Science 332(6029), 555–559 (2011).
[CrossRef] [PubMed]

P. Del’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth, and T. J. Kippenberg, “Optical frequency comb generation from a monolithic microresonator,” Nature 450(7173), 1214–1217 (2007).
[CrossRef] [PubMed]

Kurokawa, T.

Lawrence, R. W.

J. W. Goodman and R. W. Lawrence, “Digital image formation from electronically detected holograms,” Appl. Phys. Lett. 11(3), 77–79 (1967).
[CrossRef]

Lin, Y. C.

Lo Curto, G.

T. Wilken, C. Lovis, A. Manescau, T. Steinmetz, L. Pasquini, G. Lo Curto, T. W. Hänsch, R. Holzwarth, and T. Udem, “High-precision calibration of spectrographs,” Mon. Not. R. Astron. Soc. 405(1), L16–L20 (2010).
[CrossRef]

Longworth, J. W.

Lovis, C.

T. Wilken, C. Lovis, A. Manescau, T. Steinmetz, L. Pasquini, G. Lo Curto, T. W. Hänsch, R. Holzwarth, and T. Udem, “High-precision calibration of spectrographs,” Mon. Not. R. Astron. Soc. 405(1), L16–L20 (2010).
[CrossRef]

Manescau, A.

T. Wilken, C. Lovis, A. Manescau, T. Steinmetz, L. Pasquini, G. Lo Curto, T. W. Hänsch, R. Holzwarth, and T. Udem, “High-precision calibration of spectrographs,” Mon. Not. R. Astron. Soc. 405(1), L16–L20 (2010).
[CrossRef]

T. Steinmetz, T. Wilken, C. Araujo-Hauck, R. Holzwarth, T. W. Hänsch, L. Pasquini, A. Manescau, S. D’Odorico, M. T. Murphy, T. Kentischer, W. Schmidt, and T. Udem, “Laser frequency combs for astronomical observations,” Science 321(5894), 1335–1337 (2008).
[CrossRef] [PubMed]

Marcinkevicius, A.

Martínez-León, L.

Matsumoto, H.

McPherson, A.

Moteki, D.

Murphy, M. T.

T. Steinmetz, T. Wilken, C. Araujo-Hauck, R. Holzwarth, T. W. Hänsch, L. Pasquini, A. Manescau, S. D’Odorico, M. T. Murphy, T. Kentischer, W. Schmidt, and T. Udem, “Laser frequency combs for astronomical observations,” Science 321(5894), 1335–1337 (2008).
[CrossRef] [PubMed]

Osten, W.

Pasquini, L.

T. Wilken, C. Lovis, A. Manescau, T. Steinmetz, L. Pasquini, G. Lo Curto, T. W. Hänsch, R. Holzwarth, and T. Udem, “High-precision calibration of spectrographs,” Mon. Not. R. Astron. Soc. 405(1), L16–L20 (2010).
[CrossRef]

T. Steinmetz, T. Wilken, C. Araujo-Hauck, R. Holzwarth, T. W. Hänsch, L. Pasquini, A. Manescau, S. D’Odorico, M. T. Murphy, T. Kentischer, W. Schmidt, and T. Udem, “Laser frequency combs for astronomical observations,” Science 321(5894), 1335–1337 (2008).
[CrossRef] [PubMed]

Pedrini, G.

Poon, T. C.

Rhodes, C. K.

Ruehl, A.

Schliesser, A.

P. Del’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth, and T. J. Kippenberg, “Optical frequency comb generation from a monolithic microresonator,” Nature 450(7173), 1214–1217 (2007).
[CrossRef] [PubMed]

Schmidt, W.

T. Steinmetz, T. Wilken, C. Araujo-Hauck, R. Holzwarth, T. W. Hänsch, L. Pasquini, A. Manescau, S. D’Odorico, M. T. Murphy, T. Kentischer, W. Schmidt, and T. Udem, “Laser frequency combs for astronomical observations,” Science 321(5894), 1335–1337 (2008).
[CrossRef] [PubMed]

Schnars, U.

Schwider, J.

J. Schwider, “Multiple beam Fizeau interferometer with filtered frequency comb illumination,” Opt. Commun. 282(16), 3308–3324 (2009).
[CrossRef]

Seebacher, S.

C. Wagner, W. Osten, and S. Seebacher, “Direct shape measurement by digital wavefront reconstruction and multiwavelength contouring,” Opt. Eng. 39(1), 79–85 (2000).
[CrossRef]

C. Wagner, S. Seebacher, W. Osten, and W. Jüptner, “Digital recording and numerical reconstruction of lensless Fourier holograms in optical metrology,” Appl. Opt. 38(22), 4812–4820 (1999).
[CrossRef] [PubMed]

Shioda, T.

Solem, J. C.

Steinmetz, T.

T. Wilken, C. Lovis, A. Manescau, T. Steinmetz, L. Pasquini, G. Lo Curto, T. W. Hänsch, R. Holzwarth, and T. Udem, “High-precision calibration of spectrographs,” Mon. Not. R. Astron. Soc. 405(1), L16–L20 (2010).
[CrossRef]

T. Steinmetz, T. Wilken, C. Araujo-Hauck, R. Holzwarth, T. W. Hänsch, L. Pasquini, A. Manescau, S. D’Odorico, M. T. Murphy, T. Kentischer, W. Schmidt, and T. Udem, “Laser frequency combs for astronomical observations,” Science 321(5894), 1335–1337 (2008).
[CrossRef] [PubMed]

Takahashi, S.

Takamasu, K.

Tanaka, Y.

Udem, T.

T. Wilken, C. Lovis, A. Manescau, T. Steinmetz, L. Pasquini, G. Lo Curto, T. W. Hänsch, R. Holzwarth, and T. Udem, “High-precision calibration of spectrographs,” Mon. Not. R. Astron. Soc. 405(1), L16–L20 (2010).
[CrossRef]

T. Steinmetz, T. Wilken, C. Araujo-Hauck, R. Holzwarth, T. W. Hänsch, L. Pasquini, A. Manescau, S. D’Odorico, M. T. Murphy, T. Kentischer, W. Schmidt, and T. Udem, “Laser frequency combs for astronomical observations,” Science 321(5894), 1335–1337 (2008).
[CrossRef] [PubMed]

T. Udem, R. Holzwarth, and T. W. Hänsch, “Optical frequency metrology,” Nature 416(6877), 233–237 (2002).
[CrossRef] [PubMed]

Wagner, C.

C. Wagner, W. Osten, and S. Seebacher, “Direct shape measurement by digital wavefront reconstruction and multiwavelength contouring,” Opt. Eng. 39(1), 79–85 (2000).
[CrossRef]

C. Wagner, S. Seebacher, W. Osten, and W. Jüptner, “Digital recording and numerical reconstruction of lensless Fourier holograms in optical metrology,” Appl. Opt. 38(22), 4812–4820 (1999).
[CrossRef] [PubMed]

Wang, X.

C. Yuan, H. Zhai, X. Wang, and L. Wu, “Lensless digital holography with short coherence light source for three-dimensional surface contouring of reflecting micro objects,” Opt. Commun. 270(2), 176–179 (2007).
[CrossRef]

Wei, D.

Wilken, T.

T. Wilken, C. Lovis, A. Manescau, T. Steinmetz, L. Pasquini, G. Lo Curto, T. W. Hänsch, R. Holzwarth, and T. Udem, “High-precision calibration of spectrographs,” Mon. Not. R. Astron. Soc. 405(1), L16–L20 (2010).
[CrossRef]

T. Steinmetz, T. Wilken, C. Araujo-Hauck, R. Holzwarth, T. W. Hänsch, L. Pasquini, A. Manescau, S. D’Odorico, M. T. Murphy, T. Kentischer, W. Schmidt, and T. Udem, “Laser frequency combs for astronomical observations,” Science 321(5894), 1335–1337 (2008).
[CrossRef] [PubMed]

P. Del’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth, and T. J. Kippenberg, “Optical frequency comb generation from a monolithic microresonator,” Nature 450(7173), 1214–1217 (2007).
[CrossRef] [PubMed]

Wu, L.

C. Yuan, H. Zhai, X. Wang, and L. Wu, “Lensless digital holography with short coherence light source for three-dimensional surface contouring of reflecting micro objects,” Opt. Commun. 270(2), 176–179 (2007).
[CrossRef]

Yamaguchi, I.

Yamamoto, M.

Yuan, C.

C. Yuan, H. Zhai, X. Wang, and L. Wu, “Lensless digital holography with short coherence light source for three-dimensional surface contouring of reflecting micro objects,” Opt. Commun. 270(2), 176–179 (2007).
[CrossRef]

Zhai, H.

C. Yuan, H. Zhai, X. Wang, and L. Wu, “Lensless digital holography with short coherence light source for three-dimensional surface contouring of reflecting micro objects,” Opt. Commun. 270(2), 176–179 (2007).
[CrossRef]

Zhang, T.

Appl. Opt. (4)

Appl. Phys. Lett. (1)

J. W. Goodman and R. W. Lawrence, “Digital image formation from electronically detected holograms,” Appl. Phys. Lett. 11(3), 77–79 (1967).
[CrossRef]

CIRP Annals Manufacturing Technology (1)

S. Hyun, Y.-J. Kim, Y. Kim, and S.-W. Kim, “Absolute distance measurement using the frequency comb of a femtosecond laser,” CIRP Annals Manufacturing Technology 59(1), 555–558 (2010).
[CrossRef]

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

Mon. Not. R. Astron. Soc. (1)

T. Wilken, C. Lovis, A. Manescau, T. Steinmetz, L. Pasquini, G. Lo Curto, T. W. Hänsch, R. Holzwarth, and T. Udem, “High-precision calibration of spectrographs,” Mon. Not. R. Astron. Soc. 405(1), L16–L20 (2010).
[CrossRef]

Nature (2)

T. Udem, R. Holzwarth, and T. W. Hänsch, “Optical frequency metrology,” Nature 416(6877), 233–237 (2002).
[CrossRef] [PubMed]

P. Del’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth, and T. J. Kippenberg, “Optical frequency comb generation from a monolithic microresonator,” Nature 450(7173), 1214–1217 (2007).
[CrossRef] [PubMed]

Opt. Commun. (2)

C. Yuan, H. Zhai, X. Wang, and L. Wu, “Lensless digital holography with short coherence light source for three-dimensional surface contouring of reflecting micro objects,” Opt. Commun. 270(2), 176–179 (2007).
[CrossRef]

J. Schwider, “Multiple beam Fizeau interferometer with filtered frequency comb illumination,” Opt. Commun. 282(16), 3308–3324 (2009).
[CrossRef]

Opt. Eng. (1)

C. Wagner, W. Osten, and S. Seebacher, “Direct shape measurement by digital wavefront reconstruction and multiwavelength contouring,” Opt. Eng. 39(1), 79–85 (2000).
[CrossRef]

Opt. Express (1)

Opt. Lett. (3)

Science (2)

T. J. Kippenberg, R. Holzwarth, and S. A. Diddams, “Microresonator-based optical frequency combs,” Science 332(6029), 555–559 (2011).
[CrossRef] [PubMed]

T. Steinmetz, T. Wilken, C. Araujo-Hauck, R. Holzwarth, T. W. Hänsch, L. Pasquini, A. Manescau, S. D’Odorico, M. T. Murphy, T. Kentischer, W. Schmidt, and T. Udem, “Laser frequency combs for astronomical observations,” Science 321(5894), 1335–1337 (2008).
[CrossRef] [PubMed]

Other (3)

K. Körner, G. Pedrini, C. Pruss, and W. Osten, German patent application 10 2011 016 660 (to be published).

M. Born and E. Wolf, Principles of Optics, 7nd ed. (Cambridge University Press, 2011), Chap. 10.

J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1988), Chap. 2.

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Figures (3)

Fig. 1
Fig. 1

Experimental set-up for lensless short coherence digital holography [19] with a femtosecond fc-laser at 532 nm, referenced to a Rubidium atomic clock.

Fig. 2
Fig. 2

a) Schematic of the rough metallic cone used for the investigations. b), c), d) Reconstruction of holograms at three different planes separated by 25.00 mm.

Fig. 3
Fig. 3

Numerical reconstruction of a part of the rough metallic continuous cone with a half angle of 12°.

Equations (3)

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

I ( Q ) = I R ( Q ) + 2 A , A ' I ( P , Q ) I ( P ' , Q ) Re { γ [ ( d S P Q - d S P ' Q ) / c ] } d A d A ' + 2 I R ( Q ) A I ( P , Q ) Re { γ [ ( d S R Q - d S P Q ) / c ] } d A ,
Re { γ ( τ ) } = | γ ( τ ) | cos { α ( τ ) 2 π ( d S R Q - d S P Q )/ λ 0 } ,
| γ ( τ ) | | FT { S( ν ) } | = | FT { E( ν ν 0 ) } n = N N δ ( τ n Δ ν f c ) | .

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