Abstract

A new and simple technique for the determination of the focal length of positive lenses and concave spherical surfaces by Talbot interferometry is described. Results of measurements are presented. We show that high measurement accuracy can be achieved with this technique.

© 1992 Optical Society of America

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References

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  1. Y. Nakano, K. Murata, “Talbot interferometry for measuring the focal length of a lens,” Appl. Opt. 24, 3162–3166 (1985).
    [CrossRef] [PubMed]
  2. C. W. Chang, D. C. Su, “An improved technique of measuring the focal length of a lens,” Opt. Commun. 73, 257–262 (1989).
    [CrossRef]
  3. D. C. Su, C. W. Chang, “A new technique for measuring the effective focal length of a thick or a compound lens,” Opt. Commun. 78, 118–122 (1990).
    [CrossRef]
  4. L. M. Bernardo, O. D. D. Soares, “Evaluation of the focal distance of a lens by Talbot interferometry,” Appl. Opt. 27, 296–301 (1988).
    [CrossRef] [PubMed]
  5. I. Glatt, O. Kafri, “Determination of the focal length of nonparaxial lenses by moiré deflectometry,” Appl. Opt. 26, 2507–2508 (1987).
    [CrossRef] [PubMed]
  6. K. V. Sriram, M. P. Kothiyal, R. S. Sirohi, “Talbot interferometry in non-collimated illumination for curvature and focal length measurements,” Appl. Opt. 31, 75–79 (1992).
    [CrossRef] [PubMed]
  7. M. P. Kothiyal, R. S. Sirohi, “Improved collimation testing using Talbot interferometry,” Appl. Opt. 26, 4056–4057 (1987).
    [CrossRef] [PubMed]
  8. M. P. Kothiyal, R. S. Sirohi, K. J. Rosenbruch, “Improved techniques of collimation testing,” Opt. Laser Technol. 20, 139–144 (1988).
    [CrossRef]
  9. 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]

1992 (1)

1991 (1)

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]

1990 (1)

D. C. Su, C. W. Chang, “A new technique for measuring the effective focal length of a thick or a compound lens,” Opt. Commun. 78, 118–122 (1990).
[CrossRef]

1989 (1)

C. W. Chang, D. C. Su, “An improved technique of measuring the focal length of a lens,” Opt. Commun. 73, 257–262 (1989).
[CrossRef]

1988 (2)

L. M. Bernardo, O. D. D. Soares, “Evaluation of the focal distance of a lens by Talbot interferometry,” Appl. Opt. 27, 296–301 (1988).
[CrossRef] [PubMed]

M. P. Kothiyal, R. S. Sirohi, K. J. Rosenbruch, “Improved techniques of collimation testing,” Opt. Laser Technol. 20, 139–144 (1988).
[CrossRef]

1987 (2)

1985 (1)

Bernardo, L. M.

Chang, C. W.

D. C. Su, C. W. Chang, “A new technique for measuring the effective focal length of a thick or a compound lens,” Opt. Commun. 78, 118–122 (1990).
[CrossRef]

C. W. Chang, D. C. Su, “An improved technique of measuring the focal length of a lens,” Opt. Commun. 73, 257–262 (1989).
[CrossRef]

Glatt, I.

Kafri, O.

Kothiyal, M. P.

K. V. Sriram, M. P. Kothiyal, R. S. Sirohi, “Talbot interferometry in non-collimated illumination for curvature and focal length measurements,” Appl. Opt. 31, 75–79 (1992).
[CrossRef] [PubMed]

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, K. J. Rosenbruch, “Improved techniques of collimation testing,” Opt. Laser Technol. 20, 139–144 (1988).
[CrossRef]

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

Murata, K.

Nakano, Y.

Rosenbruch, K. J.

M. P. Kothiyal, R. S. Sirohi, K. J. Rosenbruch, “Improved techniques of collimation testing,” Opt. Laser Technol. 20, 139–144 (1988).
[CrossRef]

Sirohi, R. S.

K. V. Sriram, M. P. Kothiyal, R. S. Sirohi, “Talbot interferometry in non-collimated illumination for curvature and focal length measurements,” Appl. Opt. 31, 75–79 (1992).
[CrossRef] [PubMed]

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, K. J. Rosenbruch, “Improved techniques of collimation testing,” Opt. Laser Technol. 20, 139–144 (1988).
[CrossRef]

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

Soares, O. D. D.

Sriram, K. V.

K. V. Sriram, M. P. Kothiyal, R. S. Sirohi, “Talbot interferometry in non-collimated illumination for curvature and focal length measurements,” Appl. Opt. 31, 75–79 (1992).
[CrossRef] [PubMed]

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.

D. C. Su, C. W. Chang, “A new technique for measuring the effective focal length of a thick or a compound lens,” Opt. Commun. 78, 118–122 (1990).
[CrossRef]

C. W. Chang, D. C. Su, “An improved technique of measuring the focal length of a lens,” Opt. Commun. 73, 257–262 (1989).
[CrossRef]

Appl. Opt. (5)

Opt. Commun. (2)

C. W. Chang, D. C. Su, “An improved technique of measuring the focal length of a lens,” Opt. Commun. 73, 257–262 (1989).
[CrossRef]

D. C. Su, C. W. Chang, “A new technique for measuring the effective focal length of a thick or a compound lens,” Opt. Commun. 78, 118–122 (1990).
[CrossRef]

Opt. Laser Technol. (2)

M. P. Kothiyal, R. S. Sirohi, K. J. Rosenbruch, “Improved techniques of collimation testing,” Opt. Laser Technol. 20, 139–144 (1988).
[CrossRef]

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]

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Figures (6)

Fig. 1
Fig. 1

Dual-field grating.

Fig. 2
Fig. 2

Moiré fringe pattern observed when two dual-field gratings of the same frequency are superimposed.

Fig. 3
Fig. 3

Moiré fringe rotation caused by the spatial frequency mismatch between the gratings.

Fig. 4
Fig. 4

Optical scheme for measuring the focal length of a positive lens.

Fig. 5
Fig. 5

Optical arrangement for measuring the focal length of a concave spherical surface by using two dual-field gratings.

Fig. 6
Fig. 6

Optical arrangement for measuring the focal length of a concave spherical surface by using a single dual-field grating.

Tables (1)

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Table 1 Measurement of the Focal Lengths of Lenses

Equations (1)

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Δ f = ( Δ 1 2 + Δ 2 2 ) 1 / 2 ,

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