Abstract

A comparative study of the performance of linear dual-field, spiral, and evolute gratings for collimation testing with Talbot interferometry is reported.

© 1994 Optical Society of America

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References

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  1. J. C. Fouere, D. Malacara, “Focusing errors in a collimating lens or mirror: use of a moiré technique,” Appl. Opt. 13, 1322–1326 (1974).
    [CrossRef] [PubMed]
  2. S. Yokozeki, K. Patorski, K. Ohnishi, “Collimation method using Fourier imaging and moiré technique,” Opt. Commun. 14, 401–405 (1975).
    [CrossRef]
  3. K. Patorski, S. Yokozeki, T. Suzuki, “Collimation test by double grating shearing interferometer,” Appl. Opt. 15, 1234–1240 (1976).
    [CrossRef] [PubMed]
  4. M. P. Kothiyal, R. S. Sirohi, “Improved collimation testing using Talbot interferometry,” Appl. Opt. 26, 4056–4057 (1987).
    [CrossRef] [PubMed]
  5. M. P. Kothiyal, K. V. Sriram, R. S. Sirohi, “Setting sensitivity in Talbot interferometry with modified gratings,” Opt. Laser Technol. 23, 361–365 (1991).
    [CrossRef]
  6. C. W. Chang, D. C. Su, “Collimation method that uses spiral gratings and Talbot interferometry,” Opt. Lett. 16, 1783–1784 (1991).
    [CrossRef] [PubMed]
  7. P. Szwaykowski, “Self-imaging in polar coordinates,” Appl. Opt. 27, 185–191 (1988).
  8. P. Szwaykowski, K. Patorski, “Moiré fringes by evolute gratings,” Appl. Opt. 28, 4679–4681 (1989).
    [CrossRef] [PubMed]

1991 (2)

M. P. Kothiyal, K. V. Sriram, R. S. Sirohi, “Setting sensitivity in Talbot interferometry with modified gratings,” Opt. Laser Technol. 23, 361–365 (1991).
[CrossRef]

C. W. Chang, D. C. Su, “Collimation method that uses spiral gratings and Talbot interferometry,” Opt. Lett. 16, 1783–1784 (1991).
[CrossRef] [PubMed]

1989 (1)

1988 (1)

P. Szwaykowski, “Self-imaging in polar coordinates,” Appl. Opt. 27, 185–191 (1988).

1987 (1)

1976 (1)

1975 (1)

S. Yokozeki, K. Patorski, K. Ohnishi, “Collimation method using Fourier imaging and moiré technique,” Opt. Commun. 14, 401–405 (1975).
[CrossRef]

1974 (1)

Chang, C. W.

Fouere, J. C.

Kothiyal, M. P.

M. P. Kothiyal, K. V. Sriram, R. S. Sirohi, “Setting sensitivity in Talbot interferometry with modified gratings,” Opt. Laser Technol. 23, 361–365 (1991).
[CrossRef]

M. P. Kothiyal, R. S. Sirohi, “Improved collimation testing using Talbot interferometry,” Appl. Opt. 26, 4056–4057 (1987).
[CrossRef] [PubMed]

Malacara, D.

Ohnishi, K.

S. Yokozeki, K. Patorski, K. Ohnishi, “Collimation method using Fourier imaging and moiré technique,” Opt. Commun. 14, 401–405 (1975).
[CrossRef]

Patorski, K.

Sirohi, R. S.

M. P. Kothiyal, K. V. Sriram, R. S. Sirohi, “Setting sensitivity in Talbot interferometry with modified gratings,” Opt. Laser Technol. 23, 361–365 (1991).
[CrossRef]

M. P. Kothiyal, R. S. Sirohi, “Improved collimation testing using Talbot interferometry,” Appl. Opt. 26, 4056–4057 (1987).
[CrossRef] [PubMed]

Sriram, K. V.

M. P. Kothiyal, K. V. Sriram, R. S. Sirohi, “Setting sensitivity in Talbot interferometry with modified gratings,” Opt. Laser Technol. 23, 361–365 (1991).
[CrossRef]

Su, D. C.

Suzuki, T.

Szwaykowski, P.

P. Szwaykowski, K. Patorski, “Moiré fringes by evolute gratings,” Appl. Opt. 28, 4679–4681 (1989).
[CrossRef] [PubMed]

P. Szwaykowski, “Self-imaging in polar coordinates,” Appl. Opt. 27, 185–191 (1988).

Yokozeki, S.

K. Patorski, S. Yokozeki, T. Suzuki, “Collimation test by double grating shearing interferometer,” Appl. Opt. 15, 1234–1240 (1976).
[CrossRef] [PubMed]

S. Yokozeki, K. Patorski, K. Ohnishi, “Collimation method using Fourier imaging and moiré technique,” Opt. Commun. 14, 401–405 (1975).
[CrossRef]

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Figures (5)

Fig. 1
Fig. 1

Collimation testing arrangement with a Talbot interferometer.

Fig. 2
Fig. 2

(a) Parallel moiré pattern, observed at collimation, with dual-field gratings. Radial moiré patterns, observed at collimation, with (b) spiral gratings with four starts, (c) evolute gratings with four starts, and (d) evolute gratings with ten starts.

Fig. 3
Fig. 3

Moiré patterns for (a) Δf = 300 μm with dual-field gratings, (b) Δf = 750 μm with spiral gratings with four starts, (c) Δf = 600 μm with evolute gratings with four starts, (d) Δf = 750 μm with evolute gratings with 10 starts.

Fig. 4
Fig. 4

Moiré patterns for (a) Δf = 1 mm with dual-field gratings, (b) Δf = 1 mm with spiral gratings with four starts, (c) Δf = 1 mm with evolute gratings with four starts, (d) Δf = 1 mm with evolute gratings with 10 starts.

Fig. 5
Fig. 5

Moiré patterns for (a) Δf = 2 mm with dual-field gratings, (b) Δf = 2 mm with spiral gratings with four starts, (c) Δf = 2 mm with evolute gratings with four starts, (d) Δf = 2 mm with evolute gratings with 10 starts.

Equations (1)

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z m = m d 2 / λ ,

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