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

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    [CrossRef]
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    [CrossRef]
  9. P. Vahimaa, J. Turunen, “Bragg diffraction of spatially partially coherent fields,” J. Opt. Soc. Am. A 14, 54–59 (1997).
    [CrossRef]
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    [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.
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    [CrossRef]
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    [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).

1997 (3)

1994 (2)

1993 (1)

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]

1991 (1)

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).

1990 (1)

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]

1986 (1)

1985 (1)

1980 (1)

1979 (1)

Arima, Y.

Banerjee, P.

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]

Banerjee, P. P.

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).

Friberg, A. T.

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]

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]

Goodman, J. W.

J. W. Goodman, Statistical Optics (Wiley, New York, 1985).

Huang, R. S.

Imai, M.

Imai, Y.

Ishimaru, A.

A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, New York, 1978), Vols. 1 and 2.

Korpel, A.

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]

A. Korpel, Acousto-Optics (Marcel Dekker, New York, 1988).

Mandel, L.

L. Mandel, E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, New York, 1995).

McNeill, M. D.

Ohtsuka, Y.

Poon, T.-C.

Tarn, C.-W.

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]

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]

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]

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).

Tervonen, E.

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]

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]

Turunen, J.

Vahimaa, P.

Wolf, E.

L. Mandel, E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, New York, 1995).

Acustica (1)

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).

Appl. Opt. (3)

J. Appl. Phys. (1)

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]

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. A (5)

Opt. Commun. (1)

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]

Other (4)

L. Mandel, E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, New York, 1995).

A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, New York, 1978), Vols. 1 and 2.

A. Korpel, Acousto-Optics (Marcel Dekker, New York, 1988).

J. W. Goodman, Statistical Optics (Wiley, New York, 1985).

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