Abstract

We theoretically studied the retracing behaviors of the phase-matching angle in β-BaB2O4 optical parametric oscillators with noncollinear phase matching when they were pumped with the harmonic of a Nd:YAG laser. The results imply that two or more sets of signal–idler outputs can be observed at certain phase-matching angles. Meanwhile, we observed that over a quite broad signal wavelength range the phase-matching condition can be reached simultaneously, leading to an optical parametric oscillator of broad signal and idler spectral widths. Experimentally, with the pump at 532 nm, we observed a two-band signal spectrum, indicating the simultaneous phase matching of two center phase-matching angles, or retracing behavior. Also, broad signal and idler spectra were obtained with a well-chosen set of phase-matching conditions. The signal and idler spectral widths were 145 nm (745–890 nm) and 540 nm (1.32–1.86 μm), respectively.

© 1998 Optical Society of America

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  1. S. Lin, B. Wu, F. Xie, and C. Chen, “Phase-matching retracing behavior: new features in LiB3O5,”Appl. Phys. Lett. 59, 1541–1543 (1991).
    [CrossRef]
  2. S. Lin, B. Wu, F. Xie, and C. Chen, “Phase-matching retracing behavior for second harmonic generation in LiB3O5 crystal,” J. Appl. Phys. 73, 1029–1034 (1993).
    [CrossRef]
  3. X. Liu, D. Deng, M. Li, D. Guo, and Z. Xu, “Retracing behavior of the phase-matching angle of nonlinear crystals in optical parametric oscillators,” J. Appl. Phys. 74, 2989–2991 (1993).
    [CrossRef]
  4. V. G. Dmitriev, G. G. Gurzdyan, and D. N. Nikogosyan, Handbook of Nonlinear Optical Crystals (Springer-Verlag, Berlin, 1991).
  5. G. J. Hall, M. Ebrahimzadeh, A. Robertson, G. P. A. Malcolm, and A. I. Ferguson, “Synchronously pumped optical parametric oscillators using all-solid-state pump lasers,” J. Opt. Soc. Am. B 10, 2168–2179 (1993).
    [CrossRef]
  6. S. Lin, J. Y. Huang, J. Ling, C. Chen, and Y. R. Shen, “Optical parametric amplification in a lithium triborate crystal tunable from 0.65 to 2.5 μm,” Appl. Phys. Lett. 59, 2805–2807 (1991).
    [CrossRef]
  7. J. Y. Zhang, J. Y. Huang, Y. R. Sheng, and C. Chen, “Optical parametric generation and amplification in barium borate and lithium triborate crystals,” J. Opt. Soc. Am. B 10, 1758–1764 (1993).
    [CrossRef]
  8. Z. Xu, X. Liu, D. Deng, Q. Wu, L. Wu, B. Wu, S. Lin, B. Lin, and C. Chen, “Multiwavelength optical parametric amplification with angle-tuned lithium triborate,” J. Opt. Soc. Am. B 12, 2222–2228 (1995).
    [CrossRef]
  9. X. Liu, Z. Xu, B. Wu, and C. Chen, “Picosecond multi-wavelength optical parametric generation in lithium triborate,” Appl. Phys. Lett. 66, 1446–1448 (1995).
    [CrossRef]
  10. J. Wang, M. H. Dunn, and C. F. Rae, “Polychromatic optical parametric generation by simultaneous phase matching over a large spectral bandwidth,” Opt. Lett. 22, 763–765 (1997).
    [CrossRef] [PubMed]
  11. L. A. W. Gloster, Z. X. Jiang, and T. A. King, “Characterization of an Nd:YAG-pumped β-BaB2O optical parametric oscillator in collinear and noncollinear phase-matched configurations,” IEEE J. Quantum Electron. 30, 2961–2969 (1994).
    [CrossRef]
  12. L. A. W. Gloster, I. T. McKinnie, Z. X. Jiang, T. A. King, J. M. Boon-Engering, W. E. van der Veer, and W. Hogervorst, “Narrow-band β-BaB2O4 optical parametric oscillator in a grazing-incidence configuration,” J. Opt. Soc. Am. B 12, 2117–2121 (1995).
    [CrossRef]
  13. B. C. Johnson, V. J. Newell, J. B. Clark, and E. S. McPhee, “Narrow-bandwidth low-divergence optical parametric oscillator for nonlinear frequency-conversion applications,” J. Opt. Soc. Am. B 12, 2122–2127 (1995).
    [CrossRef]
  14. A. Fix, T. Schroder, R. Wallenstein, J. G. Haub, M. J. Johnson, and B. J. Orr, “Tunable β-barium borate optical parametric oscillator: operating characteristics with and without injection seeding,” J. Opt. Soc. Am. B 10, 1744–1750 (1993).
    [CrossRef]
  15. J. G. Haub, R. M. Hentschel, M. J. Johnson, and B. J. Orr, “Controlling the performance of a pulsed optical parametric oscillator: a survey of techniques and spectroscopic applications,” J. Opt. Soc. Am. B 12, 2128–2141 (1995).
    [CrossRef]
  16. A. Fix and R. Wallenstein, “Spectral properties of pulsed nanosecond optical parametric oscillators: experimental investigation and numerical analysis,” J. Opt. Soc. Am. B 13, 2484–2497 (1996).
    [CrossRef]
  17. B. C. Johnson, V. J. Newell, J. B. Clark, and E. S. McPhee, “Narrow-bandwidth low-divergence optical parametric oscillator for nonlinear frequency-conversion applications,” J. Opt. Soc. Am. B 12, 2122–2127 (1995).
    [CrossRef]

1997 (1)

1996 (1)

1995 (6)

1994 (1)

L. A. W. Gloster, Z. X. Jiang, and T. A. King, “Characterization of an Nd:YAG-pumped β-BaB2O optical parametric oscillator in collinear and noncollinear phase-matched configurations,” IEEE J. Quantum Electron. 30, 2961–2969 (1994).
[CrossRef]

1993 (5)

1991 (2)

S. Lin, J. Y. Huang, J. Ling, C. Chen, and Y. R. Shen, “Optical parametric amplification in a lithium triborate crystal tunable from 0.65 to 2.5 μm,” Appl. Phys. Lett. 59, 2805–2807 (1991).
[CrossRef]

S. Lin, B. Wu, F. Xie, and C. Chen, “Phase-matching retracing behavior: new features in LiB3O5,”Appl. Phys. Lett. 59, 1541–1543 (1991).
[CrossRef]

Boon-Engering, J. M.

Chen, C.

Z. Xu, X. Liu, D. Deng, Q. Wu, L. Wu, B. Wu, S. Lin, B. Lin, and C. Chen, “Multiwavelength optical parametric amplification with angle-tuned lithium triborate,” J. Opt. Soc. Am. B 12, 2222–2228 (1995).
[CrossRef]

X. Liu, Z. Xu, B. Wu, and C. Chen, “Picosecond multi-wavelength optical parametric generation in lithium triborate,” Appl. Phys. Lett. 66, 1446–1448 (1995).
[CrossRef]

S. Lin, B. Wu, F. Xie, and C. Chen, “Phase-matching retracing behavior for second harmonic generation in LiB3O5 crystal,” J. Appl. Phys. 73, 1029–1034 (1993).
[CrossRef]

J. Y. Zhang, J. Y. Huang, Y. R. Sheng, and C. Chen, “Optical parametric generation and amplification in barium borate and lithium triborate crystals,” J. Opt. Soc. Am. B 10, 1758–1764 (1993).
[CrossRef]

S. Lin, J. Y. Huang, J. Ling, C. Chen, and Y. R. Shen, “Optical parametric amplification in a lithium triborate crystal tunable from 0.65 to 2.5 μm,” Appl. Phys. Lett. 59, 2805–2807 (1991).
[CrossRef]

S. Lin, B. Wu, F. Xie, and C. Chen, “Phase-matching retracing behavior: new features in LiB3O5,”Appl. Phys. Lett. 59, 1541–1543 (1991).
[CrossRef]

Clark, J. B.

Deng, D.

Z. Xu, X. Liu, D. Deng, Q. Wu, L. Wu, B. Wu, S. Lin, B. Lin, and C. Chen, “Multiwavelength optical parametric amplification with angle-tuned lithium triborate,” J. Opt. Soc. Am. B 12, 2222–2228 (1995).
[CrossRef]

X. Liu, D. Deng, M. Li, D. Guo, and Z. Xu, “Retracing behavior of the phase-matching angle of nonlinear crystals in optical parametric oscillators,” J. Appl. Phys. 74, 2989–2991 (1993).
[CrossRef]

Dunn, M. H.

Ebrahimzadeh, M.

Ferguson, A. I.

Fix, A.

Gloster, L. A. W.

L. A. W. Gloster, I. T. McKinnie, Z. X. Jiang, T. A. King, J. M. Boon-Engering, W. E. van der Veer, and W. Hogervorst, “Narrow-band β-BaB2O4 optical parametric oscillator in a grazing-incidence configuration,” J. Opt. Soc. Am. B 12, 2117–2121 (1995).
[CrossRef]

L. A. W. Gloster, Z. X. Jiang, and T. A. King, “Characterization of an Nd:YAG-pumped β-BaB2O optical parametric oscillator in collinear and noncollinear phase-matched configurations,” IEEE J. Quantum Electron. 30, 2961–2969 (1994).
[CrossRef]

Guo, D.

X. Liu, D. Deng, M. Li, D. Guo, and Z. Xu, “Retracing behavior of the phase-matching angle of nonlinear crystals in optical parametric oscillators,” J. Appl. Phys. 74, 2989–2991 (1993).
[CrossRef]

Hall, G. J.

Haub, J. G.

Hentschel, R. M.

Hogervorst, W.

Huang, J. Y.

J. Y. Zhang, J. Y. Huang, Y. R. Sheng, and C. Chen, “Optical parametric generation and amplification in barium borate and lithium triborate crystals,” J. Opt. Soc. Am. B 10, 1758–1764 (1993).
[CrossRef]

S. Lin, J. Y. Huang, J. Ling, C. Chen, and Y. R. Shen, “Optical parametric amplification in a lithium triborate crystal tunable from 0.65 to 2.5 μm,” Appl. Phys. Lett. 59, 2805–2807 (1991).
[CrossRef]

Jiang, Z. X.

L. A. W. Gloster, I. T. McKinnie, Z. X. Jiang, T. A. King, J. M. Boon-Engering, W. E. van der Veer, and W. Hogervorst, “Narrow-band β-BaB2O4 optical parametric oscillator in a grazing-incidence configuration,” J. Opt. Soc. Am. B 12, 2117–2121 (1995).
[CrossRef]

L. A. W. Gloster, Z. X. Jiang, and T. A. King, “Characterization of an Nd:YAG-pumped β-BaB2O optical parametric oscillator in collinear and noncollinear phase-matched configurations,” IEEE J. Quantum Electron. 30, 2961–2969 (1994).
[CrossRef]

Johnson, B. C.

Johnson, M. J.

King, T. A.

L. A. W. Gloster, I. T. McKinnie, Z. X. Jiang, T. A. King, J. M. Boon-Engering, W. E. van der Veer, and W. Hogervorst, “Narrow-band β-BaB2O4 optical parametric oscillator in a grazing-incidence configuration,” J. Opt. Soc. Am. B 12, 2117–2121 (1995).
[CrossRef]

L. A. W. Gloster, Z. X. Jiang, and T. A. King, “Characterization of an Nd:YAG-pumped β-BaB2O optical parametric oscillator in collinear and noncollinear phase-matched configurations,” IEEE J. Quantum Electron. 30, 2961–2969 (1994).
[CrossRef]

Li, M.

X. Liu, D. Deng, M. Li, D. Guo, and Z. Xu, “Retracing behavior of the phase-matching angle of nonlinear crystals in optical parametric oscillators,” J. Appl. Phys. 74, 2989–2991 (1993).
[CrossRef]

Lin, B.

Lin, S.

Z. Xu, X. Liu, D. Deng, Q. Wu, L. Wu, B. Wu, S. Lin, B. Lin, and C. Chen, “Multiwavelength optical parametric amplification with angle-tuned lithium triborate,” J. Opt. Soc. Am. B 12, 2222–2228 (1995).
[CrossRef]

S. Lin, B. Wu, F. Xie, and C. Chen, “Phase-matching retracing behavior for second harmonic generation in LiB3O5 crystal,” J. Appl. Phys. 73, 1029–1034 (1993).
[CrossRef]

S. Lin, J. Y. Huang, J. Ling, C. Chen, and Y. R. Shen, “Optical parametric amplification in a lithium triborate crystal tunable from 0.65 to 2.5 μm,” Appl. Phys. Lett. 59, 2805–2807 (1991).
[CrossRef]

S. Lin, B. Wu, F. Xie, and C. Chen, “Phase-matching retracing behavior: new features in LiB3O5,”Appl. Phys. Lett. 59, 1541–1543 (1991).
[CrossRef]

Ling, J.

S. Lin, J. Y. Huang, J. Ling, C. Chen, and Y. R. Shen, “Optical parametric amplification in a lithium triborate crystal tunable from 0.65 to 2.5 μm,” Appl. Phys. Lett. 59, 2805–2807 (1991).
[CrossRef]

Liu, X.

Z. Xu, X. Liu, D. Deng, Q. Wu, L. Wu, B. Wu, S. Lin, B. Lin, and C. Chen, “Multiwavelength optical parametric amplification with angle-tuned lithium triborate,” J. Opt. Soc. Am. B 12, 2222–2228 (1995).
[CrossRef]

X. Liu, Z. Xu, B. Wu, and C. Chen, “Picosecond multi-wavelength optical parametric generation in lithium triborate,” Appl. Phys. Lett. 66, 1446–1448 (1995).
[CrossRef]

X. Liu, D. Deng, M. Li, D. Guo, and Z. Xu, “Retracing behavior of the phase-matching angle of nonlinear crystals in optical parametric oscillators,” J. Appl. Phys. 74, 2989–2991 (1993).
[CrossRef]

Malcolm, G. P. A.

McKinnie, I. T.

McPhee, E. S.

Newell, V. J.

Orr, B. J.

Rae, C. F.

Robertson, A.

Schroder, T.

Shen, Y. R.

S. Lin, J. Y. Huang, J. Ling, C. Chen, and Y. R. Shen, “Optical parametric amplification in a lithium triborate crystal tunable from 0.65 to 2.5 μm,” Appl. Phys. Lett. 59, 2805–2807 (1991).
[CrossRef]

Sheng, Y. R.

van der Veer, W. E.

Wallenstein, R.

Wang, J.

Wu, B.

Z. Xu, X. Liu, D. Deng, Q. Wu, L. Wu, B. Wu, S. Lin, B. Lin, and C. Chen, “Multiwavelength optical parametric amplification with angle-tuned lithium triborate,” J. Opt. Soc. Am. B 12, 2222–2228 (1995).
[CrossRef]

X. Liu, Z. Xu, B. Wu, and C. Chen, “Picosecond multi-wavelength optical parametric generation in lithium triborate,” Appl. Phys. Lett. 66, 1446–1448 (1995).
[CrossRef]

S. Lin, B. Wu, F. Xie, and C. Chen, “Phase-matching retracing behavior for second harmonic generation in LiB3O5 crystal,” J. Appl. Phys. 73, 1029–1034 (1993).
[CrossRef]

S. Lin, B. Wu, F. Xie, and C. Chen, “Phase-matching retracing behavior: new features in LiB3O5,”Appl. Phys. Lett. 59, 1541–1543 (1991).
[CrossRef]

Wu, L.

Wu, Q.

Xie, F.

S. Lin, B. Wu, F. Xie, and C. Chen, “Phase-matching retracing behavior for second harmonic generation in LiB3O5 crystal,” J. Appl. Phys. 73, 1029–1034 (1993).
[CrossRef]

S. Lin, B. Wu, F. Xie, and C. Chen, “Phase-matching retracing behavior: new features in LiB3O5,”Appl. Phys. Lett. 59, 1541–1543 (1991).
[CrossRef]

Xu, Z.

Z. Xu, X. Liu, D. Deng, Q. Wu, L. Wu, B. Wu, S. Lin, B. Lin, and C. Chen, “Multiwavelength optical parametric amplification with angle-tuned lithium triborate,” J. Opt. Soc. Am. B 12, 2222–2228 (1995).
[CrossRef]

X. Liu, Z. Xu, B. Wu, and C. Chen, “Picosecond multi-wavelength optical parametric generation in lithium triborate,” Appl. Phys. Lett. 66, 1446–1448 (1995).
[CrossRef]

X. Liu, D. Deng, M. Li, D. Guo, and Z. Xu, “Retracing behavior of the phase-matching angle of nonlinear crystals in optical parametric oscillators,” J. Appl. Phys. 74, 2989–2991 (1993).
[CrossRef]

Zhang, J. Y.

Appl. Phys. Lett. (3)

S. Lin, J. Y. Huang, J. Ling, C. Chen, and Y. R. Shen, “Optical parametric amplification in a lithium triborate crystal tunable from 0.65 to 2.5 μm,” Appl. Phys. Lett. 59, 2805–2807 (1991).
[CrossRef]

X. Liu, Z. Xu, B. Wu, and C. Chen, “Picosecond multi-wavelength optical parametric generation in lithium triborate,” Appl. Phys. Lett. 66, 1446–1448 (1995).
[CrossRef]

S. Lin, B. Wu, F. Xie, and C. Chen, “Phase-matching retracing behavior: new features in LiB3O5,”Appl. Phys. Lett. 59, 1541–1543 (1991).
[CrossRef]

IEEE J. Quantum Electron. (1)

L. A. W. Gloster, Z. X. Jiang, and T. A. King, “Characterization of an Nd:YAG-pumped β-BaB2O optical parametric oscillator in collinear and noncollinear phase-matched configurations,” IEEE J. Quantum Electron. 30, 2961–2969 (1994).
[CrossRef]

J. Appl. Phys. (2)

S. Lin, B. Wu, F. Xie, and C. Chen, “Phase-matching retracing behavior for second harmonic generation in LiB3O5 crystal,” J. Appl. Phys. 73, 1029–1034 (1993).
[CrossRef]

X. Liu, D. Deng, M. Li, D. Guo, and Z. Xu, “Retracing behavior of the phase-matching angle of nonlinear crystals in optical parametric oscillators,” J. Appl. Phys. 74, 2989–2991 (1993).
[CrossRef]

J. Opt. Soc. Am. B (9)

A. Fix, T. Schroder, R. Wallenstein, J. G. Haub, M. J. Johnson, and B. J. Orr, “Tunable β-barium borate optical parametric oscillator: operating characteristics with and without injection seeding,” J. Opt. Soc. Am. B 10, 1744–1750 (1993).
[CrossRef]

J. Y. Zhang, J. Y. Huang, Y. R. Sheng, and C. Chen, “Optical parametric generation and amplification in barium borate and lithium triborate crystals,” J. Opt. Soc. Am. B 10, 1758–1764 (1993).
[CrossRef]

G. J. Hall, M. Ebrahimzadeh, A. Robertson, G. P. A. Malcolm, and A. I. Ferguson, “Synchronously pumped optical parametric oscillators using all-solid-state pump lasers,” J. Opt. Soc. Am. B 10, 2168–2179 (1993).
[CrossRef]

L. A. W. Gloster, I. T. McKinnie, Z. X. Jiang, T. A. King, J. M. Boon-Engering, W. E. van der Veer, and W. Hogervorst, “Narrow-band β-BaB2O4 optical parametric oscillator in a grazing-incidence configuration,” J. Opt. Soc. Am. B 12, 2117–2121 (1995).
[CrossRef]

B. C. Johnson, V. J. Newell, J. B. Clark, and E. S. McPhee, “Narrow-bandwidth low-divergence optical parametric oscillator for nonlinear frequency-conversion applications,” J. Opt. Soc. Am. B 12, 2122–2127 (1995).
[CrossRef]

B. C. Johnson, V. J. Newell, J. B. Clark, and E. S. McPhee, “Narrow-bandwidth low-divergence optical parametric oscillator for nonlinear frequency-conversion applications,” J. Opt. Soc. Am. B 12, 2122–2127 (1995).
[CrossRef]

J. G. Haub, R. M. Hentschel, M. J. Johnson, and B. J. Orr, “Controlling the performance of a pulsed optical parametric oscillator: a survey of techniques and spectroscopic applications,” J. Opt. Soc. Am. B 12, 2128–2141 (1995).
[CrossRef]

Z. Xu, X. Liu, D. Deng, Q. Wu, L. Wu, B. Wu, S. Lin, B. Lin, and C. Chen, “Multiwavelength optical parametric amplification with angle-tuned lithium triborate,” J. Opt. Soc. Am. B 12, 2222–2228 (1995).
[CrossRef]

A. Fix and R. Wallenstein, “Spectral properties of pulsed nanosecond optical parametric oscillators: experimental investigation and numerical analysis,” J. Opt. Soc. Am. B 13, 2484–2497 (1996).
[CrossRef]

Opt. Lett. (1)

Other (1)

V. G. Dmitriev, G. G. Gurzdyan, and D. N. Nikogosyan, Handbook of Nonlinear Optical Crystals (Springer-Verlag, Berlin, 1991).

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Figures (13)

Fig. 1
Fig. 1

Noncollinear phase-matching configuration for type I phase matching in a negative crystal. NLO, nonlinear optical.

Fig. 2
Fig. 2

Tuning curves in a type I phase-matched BBO OPO with (a) λP=266 nm, (b) λP=355 nm, (c) λP=532 nm. The numbers shown next to the curves are the corresponding δ angles.

Fig. 3
Fig. 3

γ angle versus idler wavelength λi in a type I phase-matched BBO OPO with λP=266, 355, 532 nm. The corresponding δ angles are 4°, 4°, and 2°, respectively.

Fig. 4
Fig. 4

Tuning curves in a type II phase-matched BBO OPO at δ=5°, with λP=266, 355, 532 nm.

Fig. 5
Fig. 5

γ angle versus idler wavelength λi in a type II phase-matched BBO OPO at δ=5°, with λP=266, 355, 532 nm.

Fig. 6
Fig. 6

Tuning curves in a type I phase-matched BBO OPO with λP=1064 nm. The numbers shown above the curves are the corresponding γ angles.

Fig. 7
Fig. 7

Schematic cavity configuration of the noncollinear phase-matched BBO OPO.

Fig. 8
Fig. 8

Theoretical tuning curves pumped with a 532-nm laser. The BBO crystal was cut at θ=20°. Note that α is defined as the angle between the pump and signal beams in the air.

Fig. 9
Fig. 9

Signal spectrum of the OPO. The two separate bands indicate the RBPA.

Fig. 10
Fig. 10

Signal spectrum of the OPO of a phase-matching case of broad spectral width.

Fig. 11
Fig. 11

Experimental results and theoretical predictions for the air angle between the pump and the idler as a function of the idler wavelength.

Fig. 12
Fig. 12

Three idler spectra, corresponding to the signal in Fig. 10.

Fig. 13
Fig. 13

Output pulse energy under the phase-matching condition of the broad spectral width as a function of the pump-pulse energy.

Tables (2)

Tables Icon

Table 1 Pump Wavelength Required for RBPA (λR) in Various Type I Collinear Phase-Matched Nonlinear Optical Crystals and Their Transparency Ranges

Tables Icon

Table 2 Range of the δ Angle for RBPA with Type I Noncollinear Phase Matching in Four Crystals Pumped with the Harmonics of a Nd:YAG Laser and a 308-nm XeCl Laser a

Equations (4)

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

sin(δ)no(λs)/λs=sin(γ)no(λi)/λi,
cos(δ)no(λs)/λs+cos(γ)no(λi)/λi
=n˜e(θ, λp)/λp,
1/n˜e2(θ, λp)=cos2 θ/no2(λp)+sin2 θ/ne2(λp).

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