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

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.

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]

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

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]

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)

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]

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]

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]

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. 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]

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]

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]

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]

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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