Abstract

A theory has been developed showing the effect of multiple exposures on the fringes formed in the case of axial motion of a diffuser illuminated by a diverging beam from a laser point source. Experimental conditions are such that the speckle patterns remain fully correlated. Filtering has been done by the converging beam. Fringe profiles, in the case of multiple exposures, have been investigated for unequal and equal exposure times, and good agreement was found between theoretical and experimental results.

© 1990 Optical Society of America

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  1. E. Archbold, A. E. Ennos, “Displacement Measurement from Double-Exposure Laser Photographs,” Opt. Acta 19, 253–271 (1972).
    [CrossRef]
  2. M. Francon, “Information Processing Using Speckle Patterns,” in Laser Speckle and Related Phenomena, J. C. Dainty, Ed. (Springer-Verlag, Berlin, 1975), Chap. 5, p. 171.
  3. M. Francon, Laser Speckle and Applications in Optics, translated by H. H. Arsenault (Academic, New York, 1979).
  4. M. May, “Information Inferred from the Observation of Speckles,” J. Phys. E 10, 849–864 (1977).
    [CrossRef]
  5. J. A. Mendez, M. L. Roblin, “Relation Entre les Intensites Lumineuses Produites Par Un Diffuseur Dans Deux Plans Pralleles,” Opt. Commun. 11, 245–250 (1974).
    [CrossRef]
  6. J. A. Mendez, M. L. Roblin, “Utilisation Des Franges D’interference En Lumiere Diffuse Pour L’etude De L’etat De Surface D’un Diffuseur,” Opt. Commun. 13, 142–147 (1975).
    [CrossRef]
  7. J. Ch. Hagopian, M. May, “Interference Phenomena Generated by Two Radially Shifted Speckle Patterns,” J. Opt. Paris 9, 217–226 (1978).
    [CrossRef]
  8. Y. Dzialowski, M. May, “Speckle Pattern Interferometer,” Opt. Commun. 18, 321–325 (1976).
    [CrossRef]
  9. Y. Dzialowski, M. May, “Correlation of Speckle Patterns Generated by Laser Point Source-Illuminated Diffusers,” Opt. Commun. 16, 334–339 (1976).
    [CrossRef]
  10. Y. Dzialowski, M. May, R. Shaw, “Measurements of Axial Displacements Undergone by a Diffusing Object in Speckle Photography,” Opt. Commun. 21, 282 (1978).
    [CrossRef]
  11. A. Lifchitz, M. May, “Phenomenes De Diffraction a Trois Dimensions,” Opt. Acta 19, 187–194 (1972).
    [CrossRef]
  12. C. S. Narayanamurthy, C. Joenathan, “Speckle Pattern Fringes Produced by Longitudinal Motion of the Diffuse Object-Sensitivity Dependence and Multiple Exposures,” Opt. Commun. 65, 179–184 (1988).
    [CrossRef]
  13. K. P. Miyake, H. Tamura, “Observation and Explanation of the Localization of Fringes Formed With Double-Exposure Speckle Photograph,” in Applications of Holography and Optical Data Processing, E. Marom, A. A. Friesem, Eds. (Pergamon, Oxford, 1977), p. 333.
  14. C. Joenathan, C. S. Narayanamurthy, R. S. Sirohi, “Localization of Fringes in Speckle Photography that are due to Axial Motion of the Diffuse Object,” J. Opt. Soc. Am. A 5, 1035–1040 (1988).
    [CrossRef]

1988

C. S. Narayanamurthy, C. Joenathan, “Speckle Pattern Fringes Produced by Longitudinal Motion of the Diffuse Object-Sensitivity Dependence and Multiple Exposures,” Opt. Commun. 65, 179–184 (1988).
[CrossRef]

C. Joenathan, C. S. Narayanamurthy, R. S. Sirohi, “Localization of Fringes in Speckle Photography that are due to Axial Motion of the Diffuse Object,” J. Opt. Soc. Am. A 5, 1035–1040 (1988).
[CrossRef]

1978

J. Ch. Hagopian, M. May, “Interference Phenomena Generated by Two Radially Shifted Speckle Patterns,” J. Opt. Paris 9, 217–226 (1978).
[CrossRef]

Y. Dzialowski, M. May, R. Shaw, “Measurements of Axial Displacements Undergone by a Diffusing Object in Speckle Photography,” Opt. Commun. 21, 282 (1978).
[CrossRef]

1977

M. May, “Information Inferred from the Observation of Speckles,” J. Phys. E 10, 849–864 (1977).
[CrossRef]

1976

Y. Dzialowski, M. May, “Speckle Pattern Interferometer,” Opt. Commun. 18, 321–325 (1976).
[CrossRef]

Y. Dzialowski, M. May, “Correlation of Speckle Patterns Generated by Laser Point Source-Illuminated Diffusers,” Opt. Commun. 16, 334–339 (1976).
[CrossRef]

1975

J. A. Mendez, M. L. Roblin, “Utilisation Des Franges D’interference En Lumiere Diffuse Pour L’etude De L’etat De Surface D’un Diffuseur,” Opt. Commun. 13, 142–147 (1975).
[CrossRef]

1974

J. A. Mendez, M. L. Roblin, “Relation Entre les Intensites Lumineuses Produites Par Un Diffuseur Dans Deux Plans Pralleles,” Opt. Commun. 11, 245–250 (1974).
[CrossRef]

1972

E. Archbold, A. E. Ennos, “Displacement Measurement from Double-Exposure Laser Photographs,” Opt. Acta 19, 253–271 (1972).
[CrossRef]

A. Lifchitz, M. May, “Phenomenes De Diffraction a Trois Dimensions,” Opt. Acta 19, 187–194 (1972).
[CrossRef]

Archbold, E.

E. Archbold, A. E. Ennos, “Displacement Measurement from Double-Exposure Laser Photographs,” Opt. Acta 19, 253–271 (1972).
[CrossRef]

Dzialowski, Y.

Y. Dzialowski, M. May, R. Shaw, “Measurements of Axial Displacements Undergone by a Diffusing Object in Speckle Photography,” Opt. Commun. 21, 282 (1978).
[CrossRef]

Y. Dzialowski, M. May, “Correlation of Speckle Patterns Generated by Laser Point Source-Illuminated Diffusers,” Opt. Commun. 16, 334–339 (1976).
[CrossRef]

Y. Dzialowski, M. May, “Speckle Pattern Interferometer,” Opt. Commun. 18, 321–325 (1976).
[CrossRef]

Ennos, A. E.

E. Archbold, A. E. Ennos, “Displacement Measurement from Double-Exposure Laser Photographs,” Opt. Acta 19, 253–271 (1972).
[CrossRef]

Francon, M.

M. Francon, Laser Speckle and Applications in Optics, translated by H. H. Arsenault (Academic, New York, 1979).

M. Francon, “Information Processing Using Speckle Patterns,” in Laser Speckle and Related Phenomena, J. C. Dainty, Ed. (Springer-Verlag, Berlin, 1975), Chap. 5, p. 171.

Hagopian, J. Ch.

J. Ch. Hagopian, M. May, “Interference Phenomena Generated by Two Radially Shifted Speckle Patterns,” J. Opt. Paris 9, 217–226 (1978).
[CrossRef]

Joenathan, C.

C. S. Narayanamurthy, C. Joenathan, “Speckle Pattern Fringes Produced by Longitudinal Motion of the Diffuse Object-Sensitivity Dependence and Multiple Exposures,” Opt. Commun. 65, 179–184 (1988).
[CrossRef]

C. Joenathan, C. S. Narayanamurthy, R. S. Sirohi, “Localization of Fringes in Speckle Photography that are due to Axial Motion of the Diffuse Object,” J. Opt. Soc. Am. A 5, 1035–1040 (1988).
[CrossRef]

Lifchitz, A.

A. Lifchitz, M. May, “Phenomenes De Diffraction a Trois Dimensions,” Opt. Acta 19, 187–194 (1972).
[CrossRef]

May, M.

J. Ch. Hagopian, M. May, “Interference Phenomena Generated by Two Radially Shifted Speckle Patterns,” J. Opt. Paris 9, 217–226 (1978).
[CrossRef]

Y. Dzialowski, M. May, R. Shaw, “Measurements of Axial Displacements Undergone by a Diffusing Object in Speckle Photography,” Opt. Commun. 21, 282 (1978).
[CrossRef]

M. May, “Information Inferred from the Observation of Speckles,” J. Phys. E 10, 849–864 (1977).
[CrossRef]

Y. Dzialowski, M. May, “Speckle Pattern Interferometer,” Opt. Commun. 18, 321–325 (1976).
[CrossRef]

Y. Dzialowski, M. May, “Correlation of Speckle Patterns Generated by Laser Point Source-Illuminated Diffusers,” Opt. Commun. 16, 334–339 (1976).
[CrossRef]

A. Lifchitz, M. May, “Phenomenes De Diffraction a Trois Dimensions,” Opt. Acta 19, 187–194 (1972).
[CrossRef]

Mendez, J. A.

J. A. Mendez, M. L. Roblin, “Utilisation Des Franges D’interference En Lumiere Diffuse Pour L’etude De L’etat De Surface D’un Diffuseur,” Opt. Commun. 13, 142–147 (1975).
[CrossRef]

J. A. Mendez, M. L. Roblin, “Relation Entre les Intensites Lumineuses Produites Par Un Diffuseur Dans Deux Plans Pralleles,” Opt. Commun. 11, 245–250 (1974).
[CrossRef]

Miyake, K. P.

K. P. Miyake, H. Tamura, “Observation and Explanation of the Localization of Fringes Formed With Double-Exposure Speckle Photograph,” in Applications of Holography and Optical Data Processing, E. Marom, A. A. Friesem, Eds. (Pergamon, Oxford, 1977), p. 333.

Narayanamurthy, C. S.

C. S. Narayanamurthy, C. Joenathan, “Speckle Pattern Fringes Produced by Longitudinal Motion of the Diffuse Object-Sensitivity Dependence and Multiple Exposures,” Opt. Commun. 65, 179–184 (1988).
[CrossRef]

C. Joenathan, C. S. Narayanamurthy, R. S. Sirohi, “Localization of Fringes in Speckle Photography that are due to Axial Motion of the Diffuse Object,” J. Opt. Soc. Am. A 5, 1035–1040 (1988).
[CrossRef]

Roblin, M. L.

J. A. Mendez, M. L. Roblin, “Utilisation Des Franges D’interference En Lumiere Diffuse Pour L’etude De L’etat De Surface D’un Diffuseur,” Opt. Commun. 13, 142–147 (1975).
[CrossRef]

J. A. Mendez, M. L. Roblin, “Relation Entre les Intensites Lumineuses Produites Par Un Diffuseur Dans Deux Plans Pralleles,” Opt. Commun. 11, 245–250 (1974).
[CrossRef]

Shaw, R.

Y. Dzialowski, M. May, R. Shaw, “Measurements of Axial Displacements Undergone by a Diffusing Object in Speckle Photography,” Opt. Commun. 21, 282 (1978).
[CrossRef]

Sirohi, R. S.

Tamura, H.

K. P. Miyake, H. Tamura, “Observation and Explanation of the Localization of Fringes Formed With Double-Exposure Speckle Photograph,” in Applications of Holography and Optical Data Processing, E. Marom, A. A. Friesem, Eds. (Pergamon, Oxford, 1977), p. 333.

J. Opt. Paris

J. Ch. Hagopian, M. May, “Interference Phenomena Generated by Two Radially Shifted Speckle Patterns,” J. Opt. Paris 9, 217–226 (1978).
[CrossRef]

J. Opt. Soc. Am. A

J. Phys. E

M. May, “Information Inferred from the Observation of Speckles,” J. Phys. E 10, 849–864 (1977).
[CrossRef]

Opt. Acta

E. Archbold, A. E. Ennos, “Displacement Measurement from Double-Exposure Laser Photographs,” Opt. Acta 19, 253–271 (1972).
[CrossRef]

A. Lifchitz, M. May, “Phenomenes De Diffraction a Trois Dimensions,” Opt. Acta 19, 187–194 (1972).
[CrossRef]

Opt. Commun.

C. S. Narayanamurthy, C. Joenathan, “Speckle Pattern Fringes Produced by Longitudinal Motion of the Diffuse Object-Sensitivity Dependence and Multiple Exposures,” Opt. Commun. 65, 179–184 (1988).
[CrossRef]

J. A. Mendez, M. L. Roblin, “Relation Entre les Intensites Lumineuses Produites Par Un Diffuseur Dans Deux Plans Pralleles,” Opt. Commun. 11, 245–250 (1974).
[CrossRef]

J. A. Mendez, M. L. Roblin, “Utilisation Des Franges D’interference En Lumiere Diffuse Pour L’etude De L’etat De Surface D’un Diffuseur,” Opt. Commun. 13, 142–147 (1975).
[CrossRef]

Y. Dzialowski, M. May, “Speckle Pattern Interferometer,” Opt. Commun. 18, 321–325 (1976).
[CrossRef]

Y. Dzialowski, M. May, “Correlation of Speckle Patterns Generated by Laser Point Source-Illuminated Diffusers,” Opt. Commun. 16, 334–339 (1976).
[CrossRef]

Y. Dzialowski, M. May, R. Shaw, “Measurements of Axial Displacements Undergone by a Diffusing Object in Speckle Photography,” Opt. Commun. 21, 282 (1978).
[CrossRef]

Other

M. Francon, “Information Processing Using Speckle Patterns,” in Laser Speckle and Related Phenomena, J. C. Dainty, Ed. (Springer-Verlag, Berlin, 1975), Chap. 5, p. 171.

M. Francon, Laser Speckle and Applications in Optics, translated by H. H. Arsenault (Academic, New York, 1979).

K. P. Miyake, H. Tamura, “Observation and Explanation of the Localization of Fringes Formed With Double-Exposure Speckle Photograph,” in Applications of Holography and Optical Data Processing, E. Marom, A. A. Friesem, Eds. (Pergamon, Oxford, 1977), p. 333.

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