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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 69, Iss. 5 — May. 1, 1979
  • pp: 684–689

Partial coherence controlled by a progressive ultrasonic wave

Yoshihiro Ohtsuka and Yoh Imai  »View Author Affiliations

JOSA, Vol. 69, Issue 5, pp. 684-689 (1979)

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The mutual coherence function of a light wave modulated by a progressive ultrasonic wave having harmonics is formulated on the basis of Raman-Nath’s phase lattice theory. The resultant degree of spatial coherence derived under the assumption that only the fundamental of the ultrasonic wave exists is in good agreement with the results obtained from Young’s interference experiments for rather low ultrasonic pressures. It is evidently shown that the partial coherence condition can be controlled electronically by ultrasonic pressures. Laser speckle reduction is demonstrated as one of its applications.

© 1979 Optical Society of America

Yoshihiro Ohtsuka and Yoh Imai, "Partial coherence controlled by a progressive ultrasonic wave," J. Opt. Soc. Am. 69, 684-689 (1979)

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  1. M. Born and E. Wolf, Principles of Optics, 2nd ed. (Pergamon, New York, 1964).
  2. See, for example, T. Asakura, "Resolution of two unequally bright points with partially coherent light," Nouv. Rev. Opt. 169–177 (1974).
  3. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).
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  5. See, for example, T. S. McKechnie, "Speckle reduction," in Laser Speckle and Related Phenomena, Topics in Applied Physics, Vol. 9, edited by J. C. Dainty (Springer-Verlag, Heidelberg, 1975).
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  7. Y. Ohtsuka, "Diffraction and interference of partially coherent light traversing two superposed sound fields," Opt. Acta 20, 263–270(1973).
  8. Y. Ohtsuka, "Modulation effects of sound wave on the mutual coherence function of light," Opt. Commun. 17, 234–237(1976).
  9. Y. Ohtsuka, "Effects of sound-light interaction on partial coherence in image-forming optical system," Opt. Commun. 17, 238–241(1976).
  10. C. V. Raman and N. S. N. Nath, "The diffraction of light by high frequency sound waves: part I," Proc. Ind. Acad. Sci. 2A, 406–412(1935); 2A, 413–420(1935); 3A, 75–84(1936); 3A, 119–125 (1936).
  11. M. V. Berry, The diffraction of light by ultrasound (Academic, New York, 1966).
  12. R. Extermann and G. Wannier, "Thèorie de la difraction de la lumière par les ultrasons," Helv. Phys. Acta 9, 520–532(1936).
  13. E. Schröder, "Elimination of granulation in laser beam projection by means of moving diffusers," Opt. Commun. 3, 68–72(1971).
  14. S. Lowenthal and D. Joyeux, "Speckle removal by a slowly moving diffuser associated with a motionless diffuser," J. Opt. Soc. Am. 61, 847–851(1971).
  15. G. N. Watson, A Treatise on the Theory of Bessel Functions (Cambridge U. P., 1966), pp. 350–359.

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