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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 17, Iss. 8 — Aug. 1, 2000
  • pp: 1407–1412

Effect of compensation for spherical aberration on the transverse displacement of laser speckle patterns

Luis Martí-López and Omel Mendoza-Yero  »View Author Affiliations


JOSA A, Vol. 17, Issue 8, pp. 1407-1412 (2000)
http://dx.doi.org/10.1364/JOSAA.17.001407


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Abstract

When a rough surface illuminated by coherent light is displaced perpendicularly to the optical axis of an imaging optical system the speckle pattern in the conjugate plane is transversally displaced too. This displacement has two components. The first one is proportional to the object displacement, and the second one depends on wave-front aberrations and, consequently, is strongly related to the optical system that is used. Usually, well-corrected photographic objectives are used for the measurement of transverse displacements by double-exposure laser speckle photography. Since in well-corrected objectives aberrations tend to compensate one another, it seems that the complementary displacement of the speckle pattern, caused by aberrations, is near zero and does not affect the accuracy of the measurement. Here it is analytically shown that the compensation of spherical aberrations does not guarantee a negligible complementary displacement. From the results obtained it follows that well-corrected objectives for laser speckle photography can be regarded as a particular class of photographic objectives, since they not only yield high-quality images but also minimize complementary displacement.

© 2000 Optical Society of America

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(120.6160) Instrumentation, measurement, and metrology : Speckle interferometry
(220.1000) Optical design and fabrication : Aberration compensation

Citation
Luis Martí-López and Omel Mendoza-Yero, "Effect of compensation for spherical aberration on the transverse displacement of laser speckle patterns," J. Opt. Soc. Am. A 17, 1407-1412 (2000)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-17-8-1407


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References

  1. T. Asakura and N. Takai, “Dynamic speckle and their application to velocity measurement of diffuse object,” Appl. Phys. 25, 179–194 (1981).
  2. Y. Fainman, J. Shamir, and E. Lenz, “Static and dynamic behavior of speckle patterns described by operator algebra,” Appl. Opt. 20, 3526–3538 (1981).
  3. Y. Yamaguchi, “Speckle displacement and decorrelation in the diffraction and image field for small object deformation,” Opt. Acta 28, 1359–1376 (1981).
  4. D. A. Gregory, “Basic physical principles of defocused laser speckle photography: a tilt topology inspection technique,” Opt. Laser Technol. 8, 201–213 (1976).
  5. L. Martí-López, Yu. I. Ostrovsky, and R. Serra-Toledo, “About the transverse displacement of speckle-structures in two-lens optical systems,” Zh. Tekh. Fiz. 55, 929–931 (1985) (in Russian).
  6. K. J. Stetson, “The vulnerability of speckle-photography to lens aberration,” J. Opt. Soc. Am. 67, 1587–1590 (1977).
  7. Yu. I. Rakushin, “Analysis of perturbation in the recording of speckle-photograph of a strained object,” in Applied Questions of Holography, Materials of the XIV All-Union School on Holography (Institute of Nuclear Physics of Leningrad, Leningrad, 1982), pp. 141–145 (in Russian).
  8. Yu. I. Rakushin, “Spatially local variation of accuracy in speckle photography,” Opt. Spectrosc. 6, 823–825 (1987).
  9. D. W. Li and F. P. Chiang, “Decorrelation functions in laser speckle-photography,” J. Opt. Soc. Am. A 3, 1023–1031 (1986).
  10. L. Martí-López, “Effect of primary aberrations on transverse displacement of laser speckle patterns,” Opt. Laser Technol. 28, 15–19 (1996).
  11. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).
  12. M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1970).
  13. L. Martí-López, “Effect of the scattering on speckle interferograms,” Zh. Tekh. Fiz. 52, 2032–2035 (1982) (in Russian).

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