Abstract

The problem of optical image deformations caused by the phenomenon of light beam diffraction in uniaxial crystals by ultrasonic waves is considered in the paper. A general analytical expression is derived describing a dependence of spatial deformations and transmission coefficients on incidence angles as well as on parameters of the crystal and the ultrasound. The most interesting wide-angle diffraction configurations are analyzed, and all types of spatial distortions and transfer functions are described.

© 2012 Optical Society of America

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References

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  1. J. Xu and R. Stroud, Acousto-Optic Devices (Wiley, 1992).
  2. A. Goutzulis and D. Rape, Design and Fabrication of Acousto-Optic Devices (Dekker, 1994).
  3. I. Kutuza, V. Pozhar, and V. Pustovoit, “AOTF-based imaging spectrometers for research of small-size biological objects,” Proc. SPIE 5143, 165–169 (2005).
    [CrossRef]
  4. M. Bouhifd, M. Whelan, and M. Aprahamian, “Use of acousto-optic tunable filter in fluorescence imaging endoscopy,” Proc. SPIE 5143, 305–314 (2003).
    [CrossRef]
  5. W. M. H. Smith and K. M. Smith, “A polarimetric spectral imager using acousto-optic tunable filters,” Experimental Astronomy 1, 329–343 (1990).
    [CrossRef]
  6. B. Rajwa, W. Ahmed, M. Venkatapathi, G. Gregori, F. Jin, J. Soos, S. Trivedi, and J. P. Robinson, “AOTF-based system for image cytometry,” Proc. SPIE 5694, 16–23 (2005).
    [CrossRef]
  7. N. Gupta and V. Voloshinov, “Hyperspectral imager from ultraviolet to visible with a KDP acousto-optic tunable acousto-optic filter,” Appl. Opt. 43, 2752–2759 (2004).
    [CrossRef]
  8. A. Machihin and V. Pozhar, “Image aberrations caused by AOTF,” Tech. Phys. 10, 101–108 (2010).
  9. A. Machihin and V. Pozhar, “Image transmission at wide-angle acousto-optic interaction,” Quantum Electron. 40, 837–841 (2010).
    [CrossRef]
  10. V. Pozhar and A. Machihin, “Computation of image distortion caused by wide angular acousto-optic interaction,” in Proceedings of X International Conference for Young Researchers WECONF-2010, S. Kulakov, ed. (St. Petersburg: State University for Aerospace Instrumentation, 2010), p. 23.
  11. N. Gupta, L. J. Denes, M. Gottlieb, D. R. Suhre, B. Kaminsky, and P. Metes, “Object detection with a field-portable spectropolarimetric imager,” Appl. Opt. 40, 6626–6632 (2001).
    [CrossRef]
  12. V. B. Voloshinov, K. B. Yushkov, and B. B. J. Linde, “Improvement in performance of a TeO2 acousto-optic imaging spectrometer,” J. Opt. A: Pure Appl. Opt. 9, 341–347 (2007).
    [CrossRef]
  13. V. Pozhar and V. Pustovoit, “Main features of image transmission through acousto-optical filter,” Photonics Optoelectronics 2, 67–77 (1997).
  14. I. C. Chang, “Analysis of non-collinear acousto-optic filters,” Electron. Lett. 11, 617–618 (1975).
    [CrossRef]
  15. V. Epikhin, F. Vizen, and L. Paltsev, “Acousto-optic filtration of light with arbitrary polarization,” Tech. Phys. 10, 1910–1914 (1987).
  16. V. Voloshinov and H. Mosquera, “Wide-angle acousto-optic interaction in birefringent crystals,” Opt. Spectrosc. 101, 635–641 (2006).
    [CrossRef]
  17. E. Ananiev, V. Pozhar, and V. Pustovoit, “Acousto-optic methods for spectral measurements,” Opt. Spectroscopy 62, 159–165 (1987).
  18. V. Balakshy and D. Kostyuk, “Acousto-optic image processing,” Appl. Opt. 48, C24–C32 (2009).
    [CrossRef]
  19. V. B. Voloshinov and K. B. Yushkov, “Processing of convergent and divergent optical beams and images by means of tunable acousto-optic filters on base of paratellurite and KDP,” in Proceedings of International Congress on Ultrasonics (Vienna University of Technology, 2007).
  20. http://www.aospec.ru/products/vid/index2.htm .

2010 (2)

A. Machihin and V. Pozhar, “Image aberrations caused by AOTF,” Tech. Phys. 10, 101–108 (2010).

A. Machihin and V. Pozhar, “Image transmission at wide-angle acousto-optic interaction,” Quantum Electron. 40, 837–841 (2010).
[CrossRef]

2009 (1)

2007 (1)

V. B. Voloshinov, K. B. Yushkov, and B. B. J. Linde, “Improvement in performance of a TeO2 acousto-optic imaging spectrometer,” J. Opt. A: Pure Appl. Opt. 9, 341–347 (2007).
[CrossRef]

2006 (1)

V. Voloshinov and H. Mosquera, “Wide-angle acousto-optic interaction in birefringent crystals,” Opt. Spectrosc. 101, 635–641 (2006).
[CrossRef]

2005 (2)

B. Rajwa, W. Ahmed, M. Venkatapathi, G. Gregori, F. Jin, J. Soos, S. Trivedi, and J. P. Robinson, “AOTF-based system for image cytometry,” Proc. SPIE 5694, 16–23 (2005).
[CrossRef]

I. Kutuza, V. Pozhar, and V. Pustovoit, “AOTF-based imaging spectrometers for research of small-size biological objects,” Proc. SPIE 5143, 165–169 (2005).
[CrossRef]

2004 (1)

2003 (1)

M. Bouhifd, M. Whelan, and M. Aprahamian, “Use of acousto-optic tunable filter in fluorescence imaging endoscopy,” Proc. SPIE 5143, 305–314 (2003).
[CrossRef]

2001 (1)

1997 (1)

V. Pozhar and V. Pustovoit, “Main features of image transmission through acousto-optical filter,” Photonics Optoelectronics 2, 67–77 (1997).

1990 (1)

W. M. H. Smith and K. M. Smith, “A polarimetric spectral imager using acousto-optic tunable filters,” Experimental Astronomy 1, 329–343 (1990).
[CrossRef]

1987 (2)

V. Epikhin, F. Vizen, and L. Paltsev, “Acousto-optic filtration of light with arbitrary polarization,” Tech. Phys. 10, 1910–1914 (1987).

E. Ananiev, V. Pozhar, and V. Pustovoit, “Acousto-optic methods for spectral measurements,” Opt. Spectroscopy 62, 159–165 (1987).

1975 (1)

I. C. Chang, “Analysis of non-collinear acousto-optic filters,” Electron. Lett. 11, 617–618 (1975).
[CrossRef]

Ahmed, W.

B. Rajwa, W. Ahmed, M. Venkatapathi, G. Gregori, F. Jin, J. Soos, S. Trivedi, and J. P. Robinson, “AOTF-based system for image cytometry,” Proc. SPIE 5694, 16–23 (2005).
[CrossRef]

Ananiev, E.

E. Ananiev, V. Pozhar, and V. Pustovoit, “Acousto-optic methods for spectral measurements,” Opt. Spectroscopy 62, 159–165 (1987).

Aprahamian, M.

M. Bouhifd, M. Whelan, and M. Aprahamian, “Use of acousto-optic tunable filter in fluorescence imaging endoscopy,” Proc. SPIE 5143, 305–314 (2003).
[CrossRef]

Balakshy, V.

Bouhifd, M.

M. Bouhifd, M. Whelan, and M. Aprahamian, “Use of acousto-optic tunable filter in fluorescence imaging endoscopy,” Proc. SPIE 5143, 305–314 (2003).
[CrossRef]

Chang, I. C.

I. C. Chang, “Analysis of non-collinear acousto-optic filters,” Electron. Lett. 11, 617–618 (1975).
[CrossRef]

Denes, L. J.

Epikhin, V.

V. Epikhin, F. Vizen, and L. Paltsev, “Acousto-optic filtration of light with arbitrary polarization,” Tech. Phys. 10, 1910–1914 (1987).

Gottlieb, M.

Goutzulis, A.

A. Goutzulis and D. Rape, Design and Fabrication of Acousto-Optic Devices (Dekker, 1994).

Gregori, G.

B. Rajwa, W. Ahmed, M. Venkatapathi, G. Gregori, F. Jin, J. Soos, S. Trivedi, and J. P. Robinson, “AOTF-based system for image cytometry,” Proc. SPIE 5694, 16–23 (2005).
[CrossRef]

Gupta, N.

Jin, F.

B. Rajwa, W. Ahmed, M. Venkatapathi, G. Gregori, F. Jin, J. Soos, S. Trivedi, and J. P. Robinson, “AOTF-based system for image cytometry,” Proc. SPIE 5694, 16–23 (2005).
[CrossRef]

Kaminsky, B.

Kostyuk, D.

Kutuza, I.

I. Kutuza, V. Pozhar, and V. Pustovoit, “AOTF-based imaging spectrometers for research of small-size biological objects,” Proc. SPIE 5143, 165–169 (2005).
[CrossRef]

Linde, B. B. J.

V. B. Voloshinov, K. B. Yushkov, and B. B. J. Linde, “Improvement in performance of a TeO2 acousto-optic imaging spectrometer,” J. Opt. A: Pure Appl. Opt. 9, 341–347 (2007).
[CrossRef]

Machihin, A.

A. Machihin and V. Pozhar, “Image aberrations caused by AOTF,” Tech. Phys. 10, 101–108 (2010).

A. Machihin and V. Pozhar, “Image transmission at wide-angle acousto-optic interaction,” Quantum Electron. 40, 837–841 (2010).
[CrossRef]

V. Pozhar and A. Machihin, “Computation of image distortion caused by wide angular acousto-optic interaction,” in Proceedings of X International Conference for Young Researchers WECONF-2010, S. Kulakov, ed. (St. Petersburg: State University for Aerospace Instrumentation, 2010), p. 23.

Metes, P.

Mosquera, H.

V. Voloshinov and H. Mosquera, “Wide-angle acousto-optic interaction in birefringent crystals,” Opt. Spectrosc. 101, 635–641 (2006).
[CrossRef]

Paltsev, L.

V. Epikhin, F. Vizen, and L. Paltsev, “Acousto-optic filtration of light with arbitrary polarization,” Tech. Phys. 10, 1910–1914 (1987).

Pozhar, V.

A. Machihin and V. Pozhar, “Image transmission at wide-angle acousto-optic interaction,” Quantum Electron. 40, 837–841 (2010).
[CrossRef]

A. Machihin and V. Pozhar, “Image aberrations caused by AOTF,” Tech. Phys. 10, 101–108 (2010).

I. Kutuza, V. Pozhar, and V. Pustovoit, “AOTF-based imaging spectrometers for research of small-size biological objects,” Proc. SPIE 5143, 165–169 (2005).
[CrossRef]

V. Pozhar and V. Pustovoit, “Main features of image transmission through acousto-optical filter,” Photonics Optoelectronics 2, 67–77 (1997).

E. Ananiev, V. Pozhar, and V. Pustovoit, “Acousto-optic methods for spectral measurements,” Opt. Spectroscopy 62, 159–165 (1987).

V. Pozhar and A. Machihin, “Computation of image distortion caused by wide angular acousto-optic interaction,” in Proceedings of X International Conference for Young Researchers WECONF-2010, S. Kulakov, ed. (St. Petersburg: State University for Aerospace Instrumentation, 2010), p. 23.

Pustovoit, V.

I. Kutuza, V. Pozhar, and V. Pustovoit, “AOTF-based imaging spectrometers for research of small-size biological objects,” Proc. SPIE 5143, 165–169 (2005).
[CrossRef]

V. Pozhar and V. Pustovoit, “Main features of image transmission through acousto-optical filter,” Photonics Optoelectronics 2, 67–77 (1997).

E. Ananiev, V. Pozhar, and V. Pustovoit, “Acousto-optic methods for spectral measurements,” Opt. Spectroscopy 62, 159–165 (1987).

Rajwa, B.

B. Rajwa, W. Ahmed, M. Venkatapathi, G. Gregori, F. Jin, J. Soos, S. Trivedi, and J. P. Robinson, “AOTF-based system for image cytometry,” Proc. SPIE 5694, 16–23 (2005).
[CrossRef]

Rape, D.

A. Goutzulis and D. Rape, Design and Fabrication of Acousto-Optic Devices (Dekker, 1994).

Robinson, J. P.

B. Rajwa, W. Ahmed, M. Venkatapathi, G. Gregori, F. Jin, J. Soos, S. Trivedi, and J. P. Robinson, “AOTF-based system for image cytometry,” Proc. SPIE 5694, 16–23 (2005).
[CrossRef]

Smith, K. M.

W. M. H. Smith and K. M. Smith, “A polarimetric spectral imager using acousto-optic tunable filters,” Experimental Astronomy 1, 329–343 (1990).
[CrossRef]

Smith, W. M. H.

W. M. H. Smith and K. M. Smith, “A polarimetric spectral imager using acousto-optic tunable filters,” Experimental Astronomy 1, 329–343 (1990).
[CrossRef]

Soos, J.

B. Rajwa, W. Ahmed, M. Venkatapathi, G. Gregori, F. Jin, J. Soos, S. Trivedi, and J. P. Robinson, “AOTF-based system for image cytometry,” Proc. SPIE 5694, 16–23 (2005).
[CrossRef]

Stroud, R.

J. Xu and R. Stroud, Acousto-Optic Devices (Wiley, 1992).

Suhre, D. R.

Trivedi, S.

B. Rajwa, W. Ahmed, M. Venkatapathi, G. Gregori, F. Jin, J. Soos, S. Trivedi, and J. P. Robinson, “AOTF-based system for image cytometry,” Proc. SPIE 5694, 16–23 (2005).
[CrossRef]

Venkatapathi, M.

B. Rajwa, W. Ahmed, M. Venkatapathi, G. Gregori, F. Jin, J. Soos, S. Trivedi, and J. P. Robinson, “AOTF-based system for image cytometry,” Proc. SPIE 5694, 16–23 (2005).
[CrossRef]

Vizen, F.

V. Epikhin, F. Vizen, and L. Paltsev, “Acousto-optic filtration of light with arbitrary polarization,” Tech. Phys. 10, 1910–1914 (1987).

Voloshinov, V.

V. Voloshinov and H. Mosquera, “Wide-angle acousto-optic interaction in birefringent crystals,” Opt. Spectrosc. 101, 635–641 (2006).
[CrossRef]

N. Gupta and V. Voloshinov, “Hyperspectral imager from ultraviolet to visible with a KDP acousto-optic tunable acousto-optic filter,” Appl. Opt. 43, 2752–2759 (2004).
[CrossRef]

Voloshinov, V. B.

V. B. Voloshinov, K. B. Yushkov, and B. B. J. Linde, “Improvement in performance of a TeO2 acousto-optic imaging spectrometer,” J. Opt. A: Pure Appl. Opt. 9, 341–347 (2007).
[CrossRef]

V. B. Voloshinov and K. B. Yushkov, “Processing of convergent and divergent optical beams and images by means of tunable acousto-optic filters on base of paratellurite and KDP,” in Proceedings of International Congress on Ultrasonics (Vienna University of Technology, 2007).

Whelan, M.

M. Bouhifd, M. Whelan, and M. Aprahamian, “Use of acousto-optic tunable filter in fluorescence imaging endoscopy,” Proc. SPIE 5143, 305–314 (2003).
[CrossRef]

Xu, J.

J. Xu and R. Stroud, Acousto-Optic Devices (Wiley, 1992).

Yushkov, K. B.

V. B. Voloshinov, K. B. Yushkov, and B. B. J. Linde, “Improvement in performance of a TeO2 acousto-optic imaging spectrometer,” J. Opt. A: Pure Appl. Opt. 9, 341–347 (2007).
[CrossRef]

V. B. Voloshinov and K. B. Yushkov, “Processing of convergent and divergent optical beams and images by means of tunable acousto-optic filters on base of paratellurite and KDP,” in Proceedings of International Congress on Ultrasonics (Vienna University of Technology, 2007).

Appl. Opt. (3)

Electron. Lett. (1)

I. C. Chang, “Analysis of non-collinear acousto-optic filters,” Electron. Lett. 11, 617–618 (1975).
[CrossRef]

Experimental Astronomy (1)

W. M. H. Smith and K. M. Smith, “A polarimetric spectral imager using acousto-optic tunable filters,” Experimental Astronomy 1, 329–343 (1990).
[CrossRef]

J. Opt. A: Pure Appl. Opt. (1)

V. B. Voloshinov, K. B. Yushkov, and B. B. J. Linde, “Improvement in performance of a TeO2 acousto-optic imaging spectrometer,” J. Opt. A: Pure Appl. Opt. 9, 341–347 (2007).
[CrossRef]

Opt. Spectrosc. (1)

V. Voloshinov and H. Mosquera, “Wide-angle acousto-optic interaction in birefringent crystals,” Opt. Spectrosc. 101, 635–641 (2006).
[CrossRef]

Opt. Spectroscopy (1)

E. Ananiev, V. Pozhar, and V. Pustovoit, “Acousto-optic methods for spectral measurements,” Opt. Spectroscopy 62, 159–165 (1987).

Photonics Optoelectronics (1)

V. Pozhar and V. Pustovoit, “Main features of image transmission through acousto-optical filter,” Photonics Optoelectronics 2, 67–77 (1997).

Proc. SPIE (3)

B. Rajwa, W. Ahmed, M. Venkatapathi, G. Gregori, F. Jin, J. Soos, S. Trivedi, and J. P. Robinson, “AOTF-based system for image cytometry,” Proc. SPIE 5694, 16–23 (2005).
[CrossRef]

I. Kutuza, V. Pozhar, and V. Pustovoit, “AOTF-based imaging spectrometers for research of small-size biological objects,” Proc. SPIE 5143, 165–169 (2005).
[CrossRef]

M. Bouhifd, M. Whelan, and M. Aprahamian, “Use of acousto-optic tunable filter in fluorescence imaging endoscopy,” Proc. SPIE 5143, 305–314 (2003).
[CrossRef]

Quantum Electron. (1)

A. Machihin and V. Pozhar, “Image transmission at wide-angle acousto-optic interaction,” Quantum Electron. 40, 837–841 (2010).
[CrossRef]

Tech. Phys. (2)

A. Machihin and V. Pozhar, “Image aberrations caused by AOTF,” Tech. Phys. 10, 101–108 (2010).

V. Epikhin, F. Vizen, and L. Paltsev, “Acousto-optic filtration of light with arbitrary polarization,” Tech. Phys. 10, 1910–1914 (1987).

Other (5)

V. B. Voloshinov and K. B. Yushkov, “Processing of convergent and divergent optical beams and images by means of tunable acousto-optic filters on base of paratellurite and KDP,” in Proceedings of International Congress on Ultrasonics (Vienna University of Technology, 2007).

http://www.aospec.ru/products/vid/index2.htm .

V. Pozhar and A. Machihin, “Computation of image distortion caused by wide angular acousto-optic interaction,” in Proceedings of X International Conference for Young Researchers WECONF-2010, S. Kulakov, ed. (St. Petersburg: State University for Aerospace Instrumentation, 2010), p. 23.

J. Xu and R. Stroud, Acousto-Optic Devices (Wiley, 1992).

A. Goutzulis and D. Rape, Design and Fabrication of Acousto-Optic Devices (Dekker, 1994).

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Figures (8)

Fig. 1.
Fig. 1.

Wave diagram of anisotropic AO diffraction. kinc and kdif are wave vectors of incident and diffracted light waves, q is the wave vector of acoustic wave, and Δk=kincqkdif is the wave mismatch vector.

Fig. 2.
Fig. 2.

Image distortion caused by acousto-optic interaction: spatial deformation (a) and amplitude inhomogeneity (b).

Fig. 3.
Fig. 3.

Regions of allowable wave mismatch for wide-angle AOTF configuration in the case of collinear (a) and noncollinear (b) geometry.

Fig. 4.
Fig. 4.

Wave diagram of wide-angular AO interaction in polar plane.

Fig. 5.
Fig. 5.

Dependence γ1w(θ1w) of propagation angles of sound γ1w and light θ1w in case of the wide-angular AO interaction for TeO2(ξ0=1.07) at λ=0.6μm (I) and for Hg2Cl2(ξ0=1.34) at λ=2μm (II).

Fig. 6.
Fig. 6.

Dependence of linear (a) and nonlinear (b) coefficients in Eq. (7) for extraordinary polarized light (TeO2, λ=633nm, field-of-view δθ1=δθ2=2°).

Fig. 7.
Fig. 7.

Test object (black solid grid) and spectral images at 0.4 μm (dashed) and 0.8 μm (chain) calculated for extreme wide-angle TeO2-AOTF.

Fig. 8.
Fig. 8.

Normalized transfer function T(Δθ1,Δθ2)/Γ2L2 of wide-angle AOTF(TeO2,λ=0.6μm,L=1cm) (a) γ1=0, θ1s=0°; (b) γ1=18.6°, θ1s=28°; (c) γ1=18.9°, θ1s=32.6°; (d) γ1=18.7°, θ1s=37°; (e) γ1=17.3°, θ1s=45°; (f) γ1=7.1°, θ1s=73.6°, and (g) γ1=3.4°, θ1s=83°.

Tables (1)

Tables Icon

Table 1. Comparison of AOTFs’ Characteristics

Equations (12)

Equations on this page are rendered with MathJax. Learn more.

ψ1=arctan(ξ(θ1)sinθ1ηsinγ1(ξ(θ1)cosθ1ηcosγ1)2+2ηξ(θ1)cosθ1cosγ1(1cos(θ2γ1))),
ψ2=arctan(ξ(θ1)cosθ1sinθ2ηcosγ1sinγ2ξ(θ1)cosθ1cosθ2ηcosγ1cosγ2),
Δk=kn0((ξ(θ1)η)2+2ηξ(θ1)(1A)1).
ηs=ξ(θ1)Aξ2(θ1)(A21)+1.
tanψ1w=ξ02tanθ1w.
tanγ1w=ξ0tanθ1w(ξ04tan2θ1w+1)(ξ02tan2θ1w+1)+ξ03tan2θ1w.
θext=arccot(ς4ς4+1),
γext=arccot((ς2+1)3/2),
θextarccot(2)=35,3°,
γextarccot(22)=19,5°.
Δψi(Δθ1,Δθ2)=Δθi+bi1Δθ1+bi2Δθ2+ci11Δθ12+ci12Δθ1Δθ2+ci22Δθ22.
T=(ΓL)2sin2u/u2,

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