Abstract

The transverse coherence of a 1ps pulsed laser beam was measured using a technique involving a modified Michelson interferometer and separate reference images. Using this technique, the transverse coherence of a selected plane in the laser beam was determined, in this case at the exit of a channel in a metal foil self-drilled by the laser. Images of each arm were used as references. Through this technique, it is possible to use the interference patterns produced with uneven intensity distributions and for pulsed lasers on a single-shot basis. The results of these measurements were then shown to be in agreement with those obtained using a Young’s double-slit setup.

© 2007 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, 1995).
  2. A. T. Friberg and R. J. Sudol, "The spatial coherence properties of Gaussian Schell-model beams," Opt. Acta 30, 1075-1097 (1983).
    [Crossref]
  3. M. Born and E. Wolf, Principles of Optics (Macmillian, 1964), p. 260.
  4. T. Omatsu, K. Kuroda, and T. Takase, "Time-resolved measurement of spatial coherence of a copper vapor laser beam using a reversal shear interferometer," Opt. Commun. 87, 278-286 (1992).
    [Crossref]
  5. D. W. Coutts, M. D. Ainsworth, and J. A. Piper, "Observation of the temporal evolution of transverse coherence in copper vapour lasers," Opt. Commun. 87, 245-248 (1992).
    [Crossref]
  6. P. K. Shukla, K. K. Sarangpani, S. Talwar, G. S. Purbia, S. V. Nakhe, and H. S. Vora, "A modified Mach Zender interferometer for the study of coherence of laser," presented at the Ninth International Topical Meeting on Education and Training in Optics and Photonics, Marseille, France, October 24-27, 2005.
  7. B. Eppich, G. Mann, and H. Weber, "Spatial coherence: comparison of interferometric and non-interferometric measurements," Proc. SPIE 4969, 137-148 (2003).
    [Crossref]
  8. R. Kingslake, "The interferometer patterns due to the primary aberrations," Trans. Opt. Soc., London 27, 94-105 (1925).
    [Crossref]
  9. R. S. Marjoribanks, F. W. Budnik, L. Zhao, G. Kulcsar, M. Stanier, and J. Mihaychuk, "High-contrast terawatt chirped-pulse-amplification laser that uses a 1-ps Nd:glass oscillator," Opt. Lett. 18, 361-363 (1993).
    [Crossref] [PubMed]

2003 (1)

B. Eppich, G. Mann, and H. Weber, "Spatial coherence: comparison of interferometric and non-interferometric measurements," Proc. SPIE 4969, 137-148 (2003).
[Crossref]

1993 (1)

1992 (2)

T. Omatsu, K. Kuroda, and T. Takase, "Time-resolved measurement of spatial coherence of a copper vapor laser beam using a reversal shear interferometer," Opt. Commun. 87, 278-286 (1992).
[Crossref]

D. W. Coutts, M. D. Ainsworth, and J. A. Piper, "Observation of the temporal evolution of transverse coherence in copper vapour lasers," Opt. Commun. 87, 245-248 (1992).
[Crossref]

1983 (1)

A. T. Friberg and R. J. Sudol, "The spatial coherence properties of Gaussian Schell-model beams," Opt. Acta 30, 1075-1097 (1983).
[Crossref]

1925 (1)

R. Kingslake, "The interferometer patterns due to the primary aberrations," Trans. Opt. Soc., London 27, 94-105 (1925).
[Crossref]

Ainsworth, M. D.

D. W. Coutts, M. D. Ainsworth, and J. A. Piper, "Observation of the temporal evolution of transverse coherence in copper vapour lasers," Opt. Commun. 87, 245-248 (1992).
[Crossref]

Born, M.

M. Born and E. Wolf, Principles of Optics (Macmillian, 1964), p. 260.

Budnik, F. W.

Coutts, D. W.

D. W. Coutts, M. D. Ainsworth, and J. A. Piper, "Observation of the temporal evolution of transverse coherence in copper vapour lasers," Opt. Commun. 87, 245-248 (1992).
[Crossref]

Eppich, B.

B. Eppich, G. Mann, and H. Weber, "Spatial coherence: comparison of interferometric and non-interferometric measurements," Proc. SPIE 4969, 137-148 (2003).
[Crossref]

Friberg, A. T.

A. T. Friberg and R. J. Sudol, "The spatial coherence properties of Gaussian Schell-model beams," Opt. Acta 30, 1075-1097 (1983).
[Crossref]

Kingslake, R.

R. Kingslake, "The interferometer patterns due to the primary aberrations," Trans. Opt. Soc., London 27, 94-105 (1925).
[Crossref]

Kulcsar, G.

Kuroda, K.

T. Omatsu, K. Kuroda, and T. Takase, "Time-resolved measurement of spatial coherence of a copper vapor laser beam using a reversal shear interferometer," Opt. Commun. 87, 278-286 (1992).
[Crossref]

Mandel, L.

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, 1995).

Mann, G.

B. Eppich, G. Mann, and H. Weber, "Spatial coherence: comparison of interferometric and non-interferometric measurements," Proc. SPIE 4969, 137-148 (2003).
[Crossref]

Marjoribanks, R. S.

Mihaychuk, J.

Nakhe, S. V.

P. K. Shukla, K. K. Sarangpani, S. Talwar, G. S. Purbia, S. V. Nakhe, and H. S. Vora, "A modified Mach Zender interferometer for the study of coherence of laser," presented at the Ninth International Topical Meeting on Education and Training in Optics and Photonics, Marseille, France, October 24-27, 2005.

Omatsu, T.

T. Omatsu, K. Kuroda, and T. Takase, "Time-resolved measurement of spatial coherence of a copper vapor laser beam using a reversal shear interferometer," Opt. Commun. 87, 278-286 (1992).
[Crossref]

Piper, J. A.

D. W. Coutts, M. D. Ainsworth, and J. A. Piper, "Observation of the temporal evolution of transverse coherence in copper vapour lasers," Opt. Commun. 87, 245-248 (1992).
[Crossref]

Purbia, G. S.

P. K. Shukla, K. K. Sarangpani, S. Talwar, G. S. Purbia, S. V. Nakhe, and H. S. Vora, "A modified Mach Zender interferometer for the study of coherence of laser," presented at the Ninth International Topical Meeting on Education and Training in Optics and Photonics, Marseille, France, October 24-27, 2005.

Sarangpani, K. K.

P. K. Shukla, K. K. Sarangpani, S. Talwar, G. S. Purbia, S. V. Nakhe, and H. S. Vora, "A modified Mach Zender interferometer for the study of coherence of laser," presented at the Ninth International Topical Meeting on Education and Training in Optics and Photonics, Marseille, France, October 24-27, 2005.

Shukla, P. K.

P. K. Shukla, K. K. Sarangpani, S. Talwar, G. S. Purbia, S. V. Nakhe, and H. S. Vora, "A modified Mach Zender interferometer for the study of coherence of laser," presented at the Ninth International Topical Meeting on Education and Training in Optics and Photonics, Marseille, France, October 24-27, 2005.

Stanier, M.

Sudol, R. J.

A. T. Friberg and R. J. Sudol, "The spatial coherence properties of Gaussian Schell-model beams," Opt. Acta 30, 1075-1097 (1983).
[Crossref]

Takase, T.

T. Omatsu, K. Kuroda, and T. Takase, "Time-resolved measurement of spatial coherence of a copper vapor laser beam using a reversal shear interferometer," Opt. Commun. 87, 278-286 (1992).
[Crossref]

Talwar, S.

P. K. Shukla, K. K. Sarangpani, S. Talwar, G. S. Purbia, S. V. Nakhe, and H. S. Vora, "A modified Mach Zender interferometer for the study of coherence of laser," presented at the Ninth International Topical Meeting on Education and Training in Optics and Photonics, Marseille, France, October 24-27, 2005.

Vora, H. S.

P. K. Shukla, K. K. Sarangpani, S. Talwar, G. S. Purbia, S. V. Nakhe, and H. S. Vora, "A modified Mach Zender interferometer for the study of coherence of laser," presented at the Ninth International Topical Meeting on Education and Training in Optics and Photonics, Marseille, France, October 24-27, 2005.

Weber, H.

B. Eppich, G. Mann, and H. Weber, "Spatial coherence: comparison of interferometric and non-interferometric measurements," Proc. SPIE 4969, 137-148 (2003).
[Crossref]

Wolf, E.

M. Born and E. Wolf, Principles of Optics (Macmillian, 1964), p. 260.

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, 1995).

Zhao, L.

Opt. Acta (1)

A. T. Friberg and R. J. Sudol, "The spatial coherence properties of Gaussian Schell-model beams," Opt. Acta 30, 1075-1097 (1983).
[Crossref]

Opt. Commun. (2)

T. Omatsu, K. Kuroda, and T. Takase, "Time-resolved measurement of spatial coherence of a copper vapor laser beam using a reversal shear interferometer," Opt. Commun. 87, 278-286 (1992).
[Crossref]

D. W. Coutts, M. D. Ainsworth, and J. A. Piper, "Observation of the temporal evolution of transverse coherence in copper vapour lasers," Opt. Commun. 87, 245-248 (1992).
[Crossref]

Opt. Lett. (1)

Proc. SPIE (1)

B. Eppich, G. Mann, and H. Weber, "Spatial coherence: comparison of interferometric and non-interferometric measurements," Proc. SPIE 4969, 137-148 (2003).
[Crossref]

Trans. Opt. Soc., London (1)

R. Kingslake, "The interferometer patterns due to the primary aberrations," Trans. Opt. Soc., London 27, 94-105 (1925).
[Crossref]

Other (3)

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, 1995).

P. K. Shukla, K. K. Sarangpani, S. Talwar, G. S. Purbia, S. V. Nakhe, and H. S. Vora, "A modified Mach Zender interferometer for the study of coherence of laser," presented at the Ninth International Topical Meeting on Education and Training in Optics and Photonics, Marseille, France, October 24-27, 2005.

M. Born and E. Wolf, Principles of Optics (Macmillian, 1964), p. 260.

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (5)

Fig. 1
Fig. 1

Schematic of Young’s double-slit setup used in this experiment. This particular shot shows the patterns produced by a pulse-train-burst drilling through 150 μ m of aluminum. The slits used were 176 ± 2 μ m apart.

Fig. 2
Fig. 2

Schematic of the folded Michelson interferometer used to measure transverse coherence. The images shown are those produced while 150 μ m of aluminium were burned through.

Fig. 3
Fig. 3

Schematic of equivalent-target-plane (ETP), near-field (NF), and far-field (FF) imaging. The image of the exit hole of the foil is relayed to the double slit of Young’s apparatus (see Fig. 1) and also to the CCD plane of the coherence interferometer (Fig. 2). Incident and transmitted energy and pulse train are also recorded.

Fig. 4
Fig. 4

Map of coherence as a function of position on the CCD-COH. The black dots correspond to fringes, where the coherence was measured. The shadings indicate the calculated degree of coherence. Delaunay triangulation was used to interpolate between the data points.

Fig. 5
Fig. 5

Plot of coherence as a function of transverse separation as obtained with the interferometer setup (solid curves) and Young’s double-slit setup (discrete points). Data were obtained with a pulse-train-burst drilling through 150 μ m of aluminium. Each interferometer curve was obtained with a different shot, and each double-slit point was obtained by averaging data over several shots.

Equations (2)

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

V = I m a x I m i n I m a x + I m i n ,
V = 2 I 1 × I 2 I 1 + I 2 × γ .

Metrics