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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. 16, Iss. 6 — Jun. 1, 1999
  • pp: 1395–1401

Spatial coherence property of a laser beam during acousto-optic diffraction

Chen-Wen Tarn  »View Author Affiliations


JOSA A, Vol. 16, Issue 6, pp. 1395-1401 (1999)
http://dx.doi.org/10.1364/JOSAA.16.001395


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Abstract

The spatial coherence property of a partially coherent light during the Bragg acousto-optic interaction is investigated. Starting from the wave equation, four coupled, parabolic equations that can describe the evolution and the propagation of mutual intensity functions of the diffracted light during the acousto-optic interaction are derived. A partially coherent light beam with arbitrary spatial profile and complex degree of spatial coherence is assumed to be incident on the Bragg acousto-optic cell. With the use of a statistical theory of linear systems, a general formalism of angular-correlation functions for zero-order and minus-one-order light can be derived. The corresponding mutual intensity and complex coherence factor functions are hence implemented numerically. From the solutions one can note that, through the acousto-optic interaction, the degrees of spatial coherence of the diffracted light beams are controllable by the intensity and the frequency of the sound wave.

© 1999 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(070.1060) Fourier optics and signal processing : Acousto-optical signal processing
(230.1040) Optical devices : Acousto-optical devices

History
Original Manuscript: August 4, 1998
Revised Manuscript: January 6, 1999
Manuscript Accepted: January 11, 1999
Published: June 1, 1999

Citation
Chen-Wen Tarn, "Spatial coherence property of a laser beam during acousto-optic diffraction," J. Opt. Soc. Am. A 16, 1395-1401 (1999)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-6-1395


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References

  1. M. D. McNeill, T.-C. Poon, “Gaussian-beam profile shaping by acousto-optic Bragg diffraction,” Appl. Opt. 33, 4508–4515 (1994). [CrossRef] [PubMed]
  2. A. Korpel, Acousto-Optics (Marcel Dekker, New York, 1988).
  3. Y. Ohtsuka, Y. Arima, Y. Imai, “Acousto-optic 2-D profile shaping of a Gaussian laser beam,” Appl. Opt. 24, 2813–2819 (1985). [CrossRef] [PubMed]
  4. Y. Imai, M. Imai, Y. Ohtsuka, “Optical coherence modulation by ultrasonic waves. 2: Application to speckle reduction,” Appl. Opt. 19, 3541–3544 (1980). [CrossRef] [PubMed]
  5. J. W. Goodman, Statistical Optics (Wiley, New York, 1985).
  6. Y. Ohtsuka, “Partial coherence controlled by a progressive ultrasonic wave,” J. Opt. Soc. Am. 69, 684–689 (1979). [CrossRef]
  7. Y. Ohtsuka, “Modulation of optical coherence by ultrasonic waves,” J. Opt. Soc. Am. A 3, 1247–1257 (1986). [CrossRef]
  8. J. Turunen, E. Tervonen, A. T. Friberg, “Acousto-optic control and modulation of optical coherence by electronically synthetic acousto-optics holographic gratings,” J. Appl. Phys. 67, 49–59 (1990). [CrossRef]
  9. P. Vahimaa, J. Turunen, “Bragg diffraction of spatially partially coherent fields,” J. Opt. Soc. Am. A 14, 54–59 (1997). [CrossRef]
  10. L. Mandel, E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, New York, 1995).
  11. A. T. Friberg, E. Tervonen, J. Turunen, “Interpretation and experimental demonstration of twisted Gaussian Schell-model beams,” J. Opt. Soc. Am. A 11, 1818–1826 (1994). [CrossRef]
  12. C.-W. Tarn, “Spatial Fourier transform approach to the study of polarization changing and beam profile deformation of light during Bragg acousto-optic interaction with longitudinal and shear ultrasonic waves in isotropic media,” J. Opt. Soc. Am. A 14, 2231–2242 (1997). [CrossRef]
  13. A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, New York, 1978), Vols. 1 and 2.
  14. A. Korpel, P. Banerjee, C.-W. Tarn, “A unified treatment of spectral formalisms of light propagation and their application to acousto-optics,” Opt. Commun. 97, 250–258 (1993). [CrossRef]
  15. C.-W. Tarn, R. S. Huang, “General formalism for Bragg acousto-optic interaction beyond the paraxial approximation,” J. Opt. Soc. Am. A 14, 3046–3056 (1997). [CrossRef]
  16. P. P. Banerjee, C.-W. Tarn, “A Fourier transform approach to acousto-optic interactions in the presence of propagational diffraction,” Acustica 74, 181–190 (1991).

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