Abstract

A simple electronic speckle-shearing-pattern interferometer, in which the image of an object is focused and sheared with a split lens onto a diffuser, is described. The sheared images on the diffuser are focused by a television camera and then digitized and processed in a host computer. The results obtained for two basic types of shearing, lateral and radial, are presented.

© 1990 Optical Society of America

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References

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  1. R. K. Erf, ed., Speckle Metrology (Academic, New York, 1978), p. 71.
  2. J. A. Leendertz, J. N. Butters, J. Phys. E 6, 1107 (1973).
    [Crossref]
  3. R. S. Sirohi, Opt. Laser Technol. 16, 251 (1984).
    [Crossref]
  4. S. Nakadata, T. Yatagai, H. Saito, Appl. Opt. 19, 4241 (1984).
    [Crossref]
  5. A. R. Ganesan, D. K. Sharma, M. P. Kothiyal, Appl. Opt. 27, 4731 (1988).
    [Crossref] [PubMed]
  6. C. Joenathan, R. Torroba, “Modified electronic speckle pattern interferometer employing an off-axis reference beam,” submitted to Appl. Opt.
  7. R. Krishna Murthy, R. S. Sirohi, M. P. Kothiyal, Appl. Opt. 21, 2865 (1982).
    [Crossref]
  8. R. Krishna Murthy, R. K. Mohanty, R. S. Sirohi, M. P. Kothiyal, Optik 67, 85 (1984).
  9. S. P. Timoschenko, S. W. Krieger, Theory of Plates and Shell, 2nd ed. (McGraw-Hill, New York, 1959), p. 293.

1988 (1)

1984 (3)

R. S. Sirohi, Opt. Laser Technol. 16, 251 (1984).
[Crossref]

S. Nakadata, T. Yatagai, H. Saito, Appl. Opt. 19, 4241 (1984).
[Crossref]

R. Krishna Murthy, R. K. Mohanty, R. S. Sirohi, M. P. Kothiyal, Optik 67, 85 (1984).

1982 (1)

1973 (1)

J. A. Leendertz, J. N. Butters, J. Phys. E 6, 1107 (1973).
[Crossref]

Butters, J. N.

J. A. Leendertz, J. N. Butters, J. Phys. E 6, 1107 (1973).
[Crossref]

Ganesan, A. R.

Joenathan, C.

C. Joenathan, R. Torroba, “Modified electronic speckle pattern interferometer employing an off-axis reference beam,” submitted to Appl. Opt.

Kothiyal, M. P.

Krieger, S. W.

S. P. Timoschenko, S. W. Krieger, Theory of Plates and Shell, 2nd ed. (McGraw-Hill, New York, 1959), p. 293.

Krishna Murthy, R.

R. Krishna Murthy, R. K. Mohanty, R. S. Sirohi, M. P. Kothiyal, Optik 67, 85 (1984).

R. Krishna Murthy, R. S. Sirohi, M. P. Kothiyal, Appl. Opt. 21, 2865 (1982).
[Crossref]

Leendertz, J. A.

J. A. Leendertz, J. N. Butters, J. Phys. E 6, 1107 (1973).
[Crossref]

Mohanty, R. K.

R. Krishna Murthy, R. K. Mohanty, R. S. Sirohi, M. P. Kothiyal, Optik 67, 85 (1984).

Nakadata, S.

Saito, H.

Sharma, D. K.

Sirohi, R. S.

R. Krishna Murthy, R. K. Mohanty, R. S. Sirohi, M. P. Kothiyal, Optik 67, 85 (1984).

R. S. Sirohi, Opt. Laser Technol. 16, 251 (1984).
[Crossref]

R. Krishna Murthy, R. S. Sirohi, M. P. Kothiyal, Appl. Opt. 21, 2865 (1982).
[Crossref]

Timoschenko, S. P.

S. P. Timoschenko, S. W. Krieger, Theory of Plates and Shell, 2nd ed. (McGraw-Hill, New York, 1959), p. 293.

Torroba, R.

C. Joenathan, R. Torroba, “Modified electronic speckle pattern interferometer employing an off-axis reference beam,” submitted to Appl. Opt.

Yatagai, T.

Appl. Opt. (3)

J. Phys. E (1)

J. A. Leendertz, J. N. Butters, J. Phys. E 6, 1107 (1973).
[Crossref]

Opt. Laser Technol. (1)

R. S. Sirohi, Opt. Laser Technol. 16, 251 (1984).
[Crossref]

Optik (1)

R. Krishna Murthy, R. K. Mohanty, R. S. Sirohi, M. P. Kothiyal, Optik 67, 85 (1984).

Other (3)

S. P. Timoschenko, S. W. Krieger, Theory of Plates and Shell, 2nd ed. (McGraw-Hill, New York, 1959), p. 293.

R. K. Erf, ed., Speckle Metrology (Academic, New York, 1978), p. 71.

C. Joenathan, R. Torroba, “Modified electronic speckle pattern interferometer employing an off-axis reference beam,” submitted to Appl. Opt.

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Figures (3)

Fig. 1
Fig. 1

Schematic of the speckle-shearing interferometric arrangement.

Fig. 2
Fig. 2

Photographs of the fringes for a circular diaphragm of diameter 60 mm with a lateral shear of 4 mm. The object was loaded to (a) 8 μm and (b) 14 μm.

Fig. 3
Fig. 3

Photographs of the radial shear fringes for the same circular diaphragm as in Fig. 2. Conjugate images with magnification M1 = 0.92 were used. The object was loaded to (a) 6 μm and (b) 10 μm.

Equations (5)

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Δ I = 4 I 1 I 2 sin ( θ r + δ / 2 ) sin ( δ / 2 ) ,
δ = ( 2 π / λ ) [ δ u sin θ + δ w ( 1 + cos θ ) ] ,
δ w δ x = ( 2 n + 1 ) λ 2 Δ 0 ( 1 + cos θ ) ,
δ w δ r = ( 2 n + 1 ) λ 2 Δ r ( 1 + cos θ ) ,
δ w δ x = 2 W 0 X n R ln X n ,

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