Abstract

The selection of the incident polar angle is very important in the entire design of the noncollinear acousto-optic tunable filter (AOTF). The authors discussed how the factors, including tuning range of wavelength, the acoustic frequency, the acousto-optic figure of merit, the spectral bandwidth, the spread of filtered beam and the wavelength dependence, influence the selection of the optimum incident polar angle. By an accurate theoretical analysis, a method of selecting the optimum incident angle was presented. The analysis was significant for improving the performance of the imaging AOTF from the visible to the infrared.

©2007 Optical Society of America

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References

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  1. E. G. Bucher and J. W. Carnahan, “Characterization of an acousto-optic tunable filter and use in visible spectrophotometry,” Appl. Spectrosc. 53, 603–611 (1999).
    [Crossref]
  2. N. Gupta and R. Dahmani, “Acousto-optic tunable filter based visible-to near-infraed spectropolarimetric imager,” Opt. Eng. 41, 1033–1038 (2002).
    [Crossref]
  3. N. Gupta and V. B. Voloshinov, “Development and characterization of two-transducer imaging acousto-optic tunable filters with extended tuning range,” Appl. Opt. 46, 1081–1088 (2007).
    [Crossref] [PubMed]
  4. 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]
  5. C. Zhang, Z. Zhang, Y. Yang, and H. Wang, “Design and analysis of a noncollinear acousto-optic tunable filter,” Opt. Lett. 32, 2417–2419 (2007).
    [Crossref] [PubMed]
  6. B. Xue, K. Xu, and H. Yamamoto, “Discussion to the equivalent point realized by the two polarized beams in AOTF system,” Opt. Express 4, 139–146 (1999).
    [Crossref] [PubMed]
  7. H. Lee, “Polarization-independent acoustooptic light modulation with large angular aperture,” Appl. Opt. 27, 815–817 (1988).
    [Crossref] [PubMed]
  8. I. C. Chang, “Noncollinear acousto-optic filter with large angular aperture,” Appl. Phys. Lett. 25, 370–372 (1974).
    [Crossref]
  9. P. A. Gass and J. R. Sambles, “Accurate design of a noncollinear acousto-optic tunable filter,” Opt. Lett. 16, 429–431 (1991).
    [Crossref] [PubMed]
  10. Naoya Uchida, “Optical Properties of Single-Crystal Paratellurite (TeO2),” Phys. Rev. B. 4, 3736–3745 (1971).
    [Crossref]
  11. D. R. Suhre and J. G. Theodore, “White-light imaging by use of a multiple passband acousto-optic tunable filter,” Appl. Opt. 35, 4494–4501 (1996).
    [Crossref] [PubMed]
  12. T. Yano and A. Watanabe, “Acoustooptic TeO2 tunable filter using far-off-axis anisotropic Bragg diffraction,” Appl. Opt,  15, 2250–2258 (1976).
    [Crossref] [PubMed]

2007 (3)

2002 (1)

N. Gupta and R. Dahmani, “Acousto-optic tunable filter based visible-to near-infraed spectropolarimetric imager,” Opt. Eng. 41, 1033–1038 (2002).
[Crossref]

1999 (2)

1996 (1)

1991 (1)

1988 (1)

1976 (1)

T. Yano and A. Watanabe, “Acoustooptic TeO2 tunable filter using far-off-axis anisotropic Bragg diffraction,” Appl. Opt,  15, 2250–2258 (1976).
[Crossref] [PubMed]

1974 (1)

I. C. Chang, “Noncollinear acousto-optic filter with large angular aperture,” Appl. Phys. Lett. 25, 370–372 (1974).
[Crossref]

1971 (1)

Naoya Uchida, “Optical Properties of Single-Crystal Paratellurite (TeO2),” Phys. Rev. B. 4, 3736–3745 (1971).
[Crossref]

Bucher, E. G.

Carnahan, J. W.

Chang, I. C.

I. C. Chang, “Noncollinear acousto-optic filter with large angular aperture,” Appl. Phys. Lett. 25, 370–372 (1974).
[Crossref]

Dahmani, R.

N. Gupta and R. Dahmani, “Acousto-optic tunable filter based visible-to near-infraed spectropolarimetric imager,” Opt. Eng. 41, 1033–1038 (2002).
[Crossref]

Gass, P. A.

Gupta, N.

N. Gupta and V. B. Voloshinov, “Development and characterization of two-transducer imaging acousto-optic tunable filters with extended tuning range,” Appl. Opt. 46, 1081–1088 (2007).
[Crossref] [PubMed]

N. Gupta and R. Dahmani, “Acousto-optic tunable filter based visible-to near-infraed spectropolarimetric imager,” Opt. Eng. 41, 1033–1038 (2002).
[Crossref]

Lee, H.

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]

Sambles, J. R.

Suhre, D. R.

Theodore, J. G.

Uchida, Naoya

Naoya Uchida, “Optical Properties of Single-Crystal Paratellurite (TeO2),” Phys. Rev. B. 4, 3736–3745 (1971).
[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]

N. Gupta and V. B. Voloshinov, “Development and characterization of two-transducer imaging acousto-optic tunable filters with extended tuning range,” Appl. Opt. 46, 1081–1088 (2007).
[Crossref] [PubMed]

Wang, H.

Watanabe, A.

T. Yano and A. Watanabe, “Acoustooptic TeO2 tunable filter using far-off-axis anisotropic Bragg diffraction,” Appl. Opt,  15, 2250–2258 (1976).
[Crossref] [PubMed]

Xu, K.

Xue, B.

Yamamoto, H.

Yang, Y.

Yano, T.

T. Yano and A. Watanabe, “Acoustooptic TeO2 tunable filter using far-off-axis anisotropic Bragg diffraction,” Appl. Opt,  15, 2250–2258 (1976).
[Crossref] [PubMed]

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]

Zhang, C.

Zhang, Z.

Appl. Opt (1)

T. Yano and A. Watanabe, “Acoustooptic TeO2 tunable filter using far-off-axis anisotropic Bragg diffraction,” Appl. Opt,  15, 2250–2258 (1976).
[Crossref] [PubMed]

Appl. Opt. (3)

Appl. Phys. Lett. (1)

I. C. Chang, “Noncollinear acousto-optic filter with large angular aperture,” Appl. Phys. Lett. 25, 370–372 (1974).
[Crossref]

Appl. Spectrosc. (1)

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. Eng. (1)

N. Gupta and R. Dahmani, “Acousto-optic tunable filter based visible-to near-infraed spectropolarimetric imager,” Opt. Eng. 41, 1033–1038 (2002).
[Crossref]

Opt. Express (1)

Opt. Lett. (2)

Phys. Rev. B. (1)

Naoya Uchida, “Optical Properties of Single-Crystal Paratellurite (TeO2),” Phys. Rev. B. 4, 3736–3745 (1971).
[Crossref]

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Figures (6)

Fig. 1.
Fig. 1. The wave vector diagram of noncollinear AOTF. [001] axis is the optic axis.

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Fig. 2.
Fig. 2. The comparisons between our design method of AOTF and previous published methods. (a) The relationships between θ a and θ i . The center optical wavelength is 0.6328 µm for curve (1) and curve (2). (b) The frequency tuning relationships at the same acoustic angle θ a of 80°.

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Fig. 3.
Fig. 3. (a). Relationship of the acousto-optic figure of merit and the incident polar angle. (b) Relationships of the acoustic frequency and the incident polar angle under a series of λ.

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Fig. 4.
Fig. 4. The wavelength dependence of the spectral bandwidth at certain incident polar angles.

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Fig. 5.
Fig. 5. The relationships between the spread of diffracted beam to the unit bandpass and the incident polar angle in the crystal.

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Fig. 6.
Fig. 6. Optimum incident polar angle dependence on the optical wavelength.

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Equations (7)

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n i = [ cos 2 θ i ⁄ [ n o 2 ( 1 + σ ) 2 + sin 2 θ i ⁄ n e 2 ] ] − 1 ⁄ 2 ,
n d = [ cos 2 θ d ⁄ [ n o 2 ( 1 − σ ) 2 ] + sin 2 θ d ⁄ n o 2 ] − 1 ⁄ 2 ,
tan ⁡ θ d = ( n o ⁄ n e ) 2 [ ( 1 + σ ) 2 ⁄ ( 1 − σ ) 2 ] tan ⁡ θ i .
tan ⁡ ( − θ a ) = ( n i sin ⁡ θ i − n d sin ⁡ θ d ) ⁄ ( n i cos ⁡ ⁡ θ i − n d cos ⁡ ⁡ θ d ) .
f a = ( V a ⁄ λ 0 ) [ n i 2 + n d 2 − 2 n i n d cos ⁡ ( θ i − θ d ) ] − 1 ⁄ 2 ,
tan ⁡ ( − θ a ) = tan ⁡ θ i { [ n o 4 n e 2 ( 1 + σ ) 6 tan 2 θ i + n e 6 ( 1 − σ 2 ) 2 ] 1 ⁄ 2 − [ n o 4 ( 1 + σ ) 6 tan 2 θ i + n o 4 n e 2 ( 1 + σ ) 4 ] 1 ⁄ 2 } [ n o 4 n e 2 ( 1 + σ ) 6 tan 2 θ i + n e 6 ( 1 − σ 2 ) 2 ] 1 ⁄ 2 − [ n o 2 n e 4 ( 1 − σ ) 4 ( 1 + σ ) 2 tan 2 θ i + n e 6 ( 1 − σ ) 4 ] 1 ⁄ 2 ,
M 2 ( θ a , θ i ) = M 2 [ V ss ⁄ V a ( θ a ) ] 3 cos 2 θ i

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