Abstract

The cubic nonlinear susceptibility of barium metaborate was employed for the generation of phase-matched third-harmonic generation (THG) of 1.053-μm pump radiation. The various processes that are responsible for THG in this crystal are discussed and experimental results for types I and II phase matching are presented. THG power of 50 μW is recorded with an average pump power of 800 mW of 1-kHz repetition rate picosecond pulses.

© 1992 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. D. Eimerl, L. Davis, S. Velsko, E. K. Graham, A. Zalkin, “Optical, mechanical, and thermal properties of barium borate,” J. Appl. Phys. 62, 1968–1983 (1987), and references therein.
    [CrossRef]
  2. R. C. Eckard, H. Masuda, Y. X. Fan, R. L. Byer, “Absolute and relative nonlinear optical coefficients of KDP, KD*P, BaB2O4, LiIO3, MgO:LiNbO3, and KTP measured by phase-matched second harmonic generation,” IEEE J. Quantum Electron. 26, 922–933 (1990).
    [CrossRef]
  3. P. Qui, A. Panzkofer, “Picosecond third harmonic light generation in β-BaB2O4,” Appl. Phys. B 45, 225–236 (1988).
    [CrossRef]
  4. J. E. Midwinter, J. Warner, “The effects of phase matching method and of uniaxial crystal symmetry on the polar distribution of second order nonlinear optical polarization,” Br. J. Appl. Phys. 16, 1135–1142 (1965); “The effects of phase matching method and of crystal symmetry on the polar dependence of third order nonlinear optical polarization,” Br. J. Appl. Phys. 16, 1667–1674 (1965).
    [CrossRef]
  5. J. A. Armstrong, N. Bloembergen, J. Ducuing, P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. 127, 1918–1939 (1962).
    [CrossRef]
  6. S. A. Akhmanov, L. B. Meisner, S. T. Parino, S. M. Saltiel, V. G. Tunkin, “Cubic nonlinear susceptibilities of crystals in the optical band: the signs and magnitudes of the susceptibilities of crystals with and without centers of inversion,” Sov. Phys. JETP 46, 898–907 (1977).
  7. R. L. Byer, R. L. Herbst, “Parametric oscillations and mixing,” in Nonlinear Infrared Generation, Y. R. Shen, ed. (Springer-Verlag, Berlin, 1977).
    [CrossRef]
  8. B. Van Wonterghem, P. M. Rentzepis, “Generation of picosecond x-ray pulses and their application in time-resolved diffraction, in Time-Resolved Laser Spectroscopy in Biochemistry II, J. R. Lakowicz, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1204, 784–791 (1990).
  9. The BBO crystals were obtained from CSK Co., Los Angeles, Calif. They were uncoated and mounted in a dry cell with antireflection-coated windows.
  10. H. Schmidt, R. Wallenstein, “Beta-barium borate: a new nonlinear optical material,” Laser Optoelektron. 19, 302–304 (1987).
  11. S. Imai, T. Yamada, Y. Fujimori, K. Ishikava, “Third harmonic generation of an alexandrite laser in β-BaB2O4,” Appl. Phys. Lett. 54, 1206–1208 (1989).
    [CrossRef]

1990 (1)

R. C. Eckard, H. Masuda, Y. X. Fan, R. L. Byer, “Absolute and relative nonlinear optical coefficients of KDP, KD*P, BaB2O4, LiIO3, MgO:LiNbO3, and KTP measured by phase-matched second harmonic generation,” IEEE J. Quantum Electron. 26, 922–933 (1990).
[CrossRef]

1989 (1)

S. Imai, T. Yamada, Y. Fujimori, K. Ishikava, “Third harmonic generation of an alexandrite laser in β-BaB2O4,” Appl. Phys. Lett. 54, 1206–1208 (1989).
[CrossRef]

1988 (1)

P. Qui, A. Panzkofer, “Picosecond third harmonic light generation in β-BaB2O4,” Appl. Phys. B 45, 225–236 (1988).
[CrossRef]

1987 (2)

H. Schmidt, R. Wallenstein, “Beta-barium borate: a new nonlinear optical material,” Laser Optoelektron. 19, 302–304 (1987).

D. Eimerl, L. Davis, S. Velsko, E. K. Graham, A. Zalkin, “Optical, mechanical, and thermal properties of barium borate,” J. Appl. Phys. 62, 1968–1983 (1987), and references therein.
[CrossRef]

1977 (1)

S. A. Akhmanov, L. B. Meisner, S. T. Parino, S. M. Saltiel, V. G. Tunkin, “Cubic nonlinear susceptibilities of crystals in the optical band: the signs and magnitudes of the susceptibilities of crystals with and without centers of inversion,” Sov. Phys. JETP 46, 898–907 (1977).

1965 (1)

J. E. Midwinter, J. Warner, “The effects of phase matching method and of uniaxial crystal symmetry on the polar distribution of second order nonlinear optical polarization,” Br. J. Appl. Phys. 16, 1135–1142 (1965); “The effects of phase matching method and of crystal symmetry on the polar dependence of third order nonlinear optical polarization,” Br. J. Appl. Phys. 16, 1667–1674 (1965).
[CrossRef]

1962 (1)

J. A. Armstrong, N. Bloembergen, J. Ducuing, P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. 127, 1918–1939 (1962).
[CrossRef]

Akhmanov, S. A.

S. A. Akhmanov, L. B. Meisner, S. T. Parino, S. M. Saltiel, V. G. Tunkin, “Cubic nonlinear susceptibilities of crystals in the optical band: the signs and magnitudes of the susceptibilities of crystals with and without centers of inversion,” Sov. Phys. JETP 46, 898–907 (1977).

Armstrong, J. A.

J. A. Armstrong, N. Bloembergen, J. Ducuing, P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. 127, 1918–1939 (1962).
[CrossRef]

Bloembergen, N.

J. A. Armstrong, N. Bloembergen, J. Ducuing, P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. 127, 1918–1939 (1962).
[CrossRef]

Byer, R. L.

R. C. Eckard, H. Masuda, Y. X. Fan, R. L. Byer, “Absolute and relative nonlinear optical coefficients of KDP, KD*P, BaB2O4, LiIO3, MgO:LiNbO3, and KTP measured by phase-matched second harmonic generation,” IEEE J. Quantum Electron. 26, 922–933 (1990).
[CrossRef]

R. L. Byer, R. L. Herbst, “Parametric oscillations and mixing,” in Nonlinear Infrared Generation, Y. R. Shen, ed. (Springer-Verlag, Berlin, 1977).
[CrossRef]

Davis, L.

D. Eimerl, L. Davis, S. Velsko, E. K. Graham, A. Zalkin, “Optical, mechanical, and thermal properties of barium borate,” J. Appl. Phys. 62, 1968–1983 (1987), and references therein.
[CrossRef]

Ducuing, J.

J. A. Armstrong, N. Bloembergen, J. Ducuing, P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. 127, 1918–1939 (1962).
[CrossRef]

Eckard, R. C.

R. C. Eckard, H. Masuda, Y. X. Fan, R. L. Byer, “Absolute and relative nonlinear optical coefficients of KDP, KD*P, BaB2O4, LiIO3, MgO:LiNbO3, and KTP measured by phase-matched second harmonic generation,” IEEE J. Quantum Electron. 26, 922–933 (1990).
[CrossRef]

Eimerl, D.

D. Eimerl, L. Davis, S. Velsko, E. K. Graham, A. Zalkin, “Optical, mechanical, and thermal properties of barium borate,” J. Appl. Phys. 62, 1968–1983 (1987), and references therein.
[CrossRef]

Fan, Y. X.

R. C. Eckard, H. Masuda, Y. X. Fan, R. L. Byer, “Absolute and relative nonlinear optical coefficients of KDP, KD*P, BaB2O4, LiIO3, MgO:LiNbO3, and KTP measured by phase-matched second harmonic generation,” IEEE J. Quantum Electron. 26, 922–933 (1990).
[CrossRef]

Fujimori, Y.

S. Imai, T. Yamada, Y. Fujimori, K. Ishikava, “Third harmonic generation of an alexandrite laser in β-BaB2O4,” Appl. Phys. Lett. 54, 1206–1208 (1989).
[CrossRef]

Graham, E. K.

D. Eimerl, L. Davis, S. Velsko, E. K. Graham, A. Zalkin, “Optical, mechanical, and thermal properties of barium borate,” J. Appl. Phys. 62, 1968–1983 (1987), and references therein.
[CrossRef]

Herbst, R. L.

R. L. Byer, R. L. Herbst, “Parametric oscillations and mixing,” in Nonlinear Infrared Generation, Y. R. Shen, ed. (Springer-Verlag, Berlin, 1977).
[CrossRef]

Imai, S.

S. Imai, T. Yamada, Y. Fujimori, K. Ishikava, “Third harmonic generation of an alexandrite laser in β-BaB2O4,” Appl. Phys. Lett. 54, 1206–1208 (1989).
[CrossRef]

Ishikava, K.

S. Imai, T. Yamada, Y. Fujimori, K. Ishikava, “Third harmonic generation of an alexandrite laser in β-BaB2O4,” Appl. Phys. Lett. 54, 1206–1208 (1989).
[CrossRef]

Masuda, H.

R. C. Eckard, H. Masuda, Y. X. Fan, R. L. Byer, “Absolute and relative nonlinear optical coefficients of KDP, KD*P, BaB2O4, LiIO3, MgO:LiNbO3, and KTP measured by phase-matched second harmonic generation,” IEEE J. Quantum Electron. 26, 922–933 (1990).
[CrossRef]

Meisner, L. B.

S. A. Akhmanov, L. B. Meisner, S. T. Parino, S. M. Saltiel, V. G. Tunkin, “Cubic nonlinear susceptibilities of crystals in the optical band: the signs and magnitudes of the susceptibilities of crystals with and without centers of inversion,” Sov. Phys. JETP 46, 898–907 (1977).

Midwinter, J. E.

J. E. Midwinter, J. Warner, “The effects of phase matching method and of uniaxial crystal symmetry on the polar distribution of second order nonlinear optical polarization,” Br. J. Appl. Phys. 16, 1135–1142 (1965); “The effects of phase matching method and of crystal symmetry on the polar dependence of third order nonlinear optical polarization,” Br. J. Appl. Phys. 16, 1667–1674 (1965).
[CrossRef]

Panzkofer, A.

P. Qui, A. Panzkofer, “Picosecond third harmonic light generation in β-BaB2O4,” Appl. Phys. B 45, 225–236 (1988).
[CrossRef]

Parino, S. T.

S. A. Akhmanov, L. B. Meisner, S. T. Parino, S. M. Saltiel, V. G. Tunkin, “Cubic nonlinear susceptibilities of crystals in the optical band: the signs and magnitudes of the susceptibilities of crystals with and without centers of inversion,” Sov. Phys. JETP 46, 898–907 (1977).

Pershan, P. S.

J. A. Armstrong, N. Bloembergen, J. Ducuing, P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. 127, 1918–1939 (1962).
[CrossRef]

Qui, P.

P. Qui, A. Panzkofer, “Picosecond third harmonic light generation in β-BaB2O4,” Appl. Phys. B 45, 225–236 (1988).
[CrossRef]

Rentzepis, P. M.

B. Van Wonterghem, P. M. Rentzepis, “Generation of picosecond x-ray pulses and their application in time-resolved diffraction, in Time-Resolved Laser Spectroscopy in Biochemistry II, J. R. Lakowicz, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1204, 784–791 (1990).

Saltiel, S. M.

S. A. Akhmanov, L. B. Meisner, S. T. Parino, S. M. Saltiel, V. G. Tunkin, “Cubic nonlinear susceptibilities of crystals in the optical band: the signs and magnitudes of the susceptibilities of crystals with and without centers of inversion,” Sov. Phys. JETP 46, 898–907 (1977).

Schmidt, H.

H. Schmidt, R. Wallenstein, “Beta-barium borate: a new nonlinear optical material,” Laser Optoelektron. 19, 302–304 (1987).

Tunkin, V. G.

S. A. Akhmanov, L. B. Meisner, S. T. Parino, S. M. Saltiel, V. G. Tunkin, “Cubic nonlinear susceptibilities of crystals in the optical band: the signs and magnitudes of the susceptibilities of crystals with and without centers of inversion,” Sov. Phys. JETP 46, 898–907 (1977).

Van Wonterghem, B.

B. Van Wonterghem, P. M. Rentzepis, “Generation of picosecond x-ray pulses and their application in time-resolved diffraction, in Time-Resolved Laser Spectroscopy in Biochemistry II, J. R. Lakowicz, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1204, 784–791 (1990).

Velsko, S.

D. Eimerl, L. Davis, S. Velsko, E. K. Graham, A. Zalkin, “Optical, mechanical, and thermal properties of barium borate,” J. Appl. Phys. 62, 1968–1983 (1987), and references therein.
[CrossRef]

Wallenstein, R.

H. Schmidt, R. Wallenstein, “Beta-barium borate: a new nonlinear optical material,” Laser Optoelektron. 19, 302–304 (1987).

Warner, J.

J. E. Midwinter, J. Warner, “The effects of phase matching method and of uniaxial crystal symmetry on the polar distribution of second order nonlinear optical polarization,” Br. J. Appl. Phys. 16, 1135–1142 (1965); “The effects of phase matching method and of crystal symmetry on the polar dependence of third order nonlinear optical polarization,” Br. J. Appl. Phys. 16, 1667–1674 (1965).
[CrossRef]

Yamada, T.

S. Imai, T. Yamada, Y. Fujimori, K. Ishikava, “Third harmonic generation of an alexandrite laser in β-BaB2O4,” Appl. Phys. Lett. 54, 1206–1208 (1989).
[CrossRef]

Zalkin, A.

D. Eimerl, L. Davis, S. Velsko, E. K. Graham, A. Zalkin, “Optical, mechanical, and thermal properties of barium borate,” J. Appl. Phys. 62, 1968–1983 (1987), and references therein.
[CrossRef]

Appl. Phys. B (1)

P. Qui, A. Panzkofer, “Picosecond third harmonic light generation in β-BaB2O4,” Appl. Phys. B 45, 225–236 (1988).
[CrossRef]

Appl. Phys. Lett. (1)

S. Imai, T. Yamada, Y. Fujimori, K. Ishikava, “Third harmonic generation of an alexandrite laser in β-BaB2O4,” Appl. Phys. Lett. 54, 1206–1208 (1989).
[CrossRef]

Br. J. Appl. Phys. (1)

J. E. Midwinter, J. Warner, “The effects of phase matching method and of uniaxial crystal symmetry on the polar distribution of second order nonlinear optical polarization,” Br. J. Appl. Phys. 16, 1135–1142 (1965); “The effects of phase matching method and of crystal symmetry on the polar dependence of third order nonlinear optical polarization,” Br. J. Appl. Phys. 16, 1667–1674 (1965).
[CrossRef]

IEEE J. Quantum Electron. (1)

R. C. Eckard, H. Masuda, Y. X. Fan, R. L. Byer, “Absolute and relative nonlinear optical coefficients of KDP, KD*P, BaB2O4, LiIO3, MgO:LiNbO3, and KTP measured by phase-matched second harmonic generation,” IEEE J. Quantum Electron. 26, 922–933 (1990).
[CrossRef]

J. Appl. Phys. (1)

D. Eimerl, L. Davis, S. Velsko, E. K. Graham, A. Zalkin, “Optical, mechanical, and thermal properties of barium borate,” J. Appl. Phys. 62, 1968–1983 (1987), and references therein.
[CrossRef]

Laser Optoelektron. (1)

H. Schmidt, R. Wallenstein, “Beta-barium borate: a new nonlinear optical material,” Laser Optoelektron. 19, 302–304 (1987).

Phys. Rev. (1)

J. A. Armstrong, N. Bloembergen, J. Ducuing, P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. 127, 1918–1939 (1962).
[CrossRef]

Sov. Phys. JETP (1)

S. A. Akhmanov, L. B. Meisner, S. T. Parino, S. M. Saltiel, V. G. Tunkin, “Cubic nonlinear susceptibilities of crystals in the optical band: the signs and magnitudes of the susceptibilities of crystals with and without centers of inversion,” Sov. Phys. JETP 46, 898–907 (1977).

Other (3)

R. L. Byer, R. L. Herbst, “Parametric oscillations and mixing,” in Nonlinear Infrared Generation, Y. R. Shen, ed. (Springer-Verlag, Berlin, 1977).
[CrossRef]

B. Van Wonterghem, P. M. Rentzepis, “Generation of picosecond x-ray pulses and their application in time-resolved diffraction, in Time-Resolved Laser Spectroscopy in Biochemistry II, J. R. Lakowicz, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1204, 784–791 (1990).

The BBO crystals were obtained from CSK Co., Los Angeles, Calif. They were uncoated and mounted in a dry cell with antireflection-coated windows.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (1)

Fig. 1
Fig. 1

Angle-tuning curve for third-harmonic generation by the o1o1o1–e3 process in BBO. The phase-matching angle was 37.7°.

Tables (1)

Tables Icon

Table I Summary of Properties of BBO Related to THG

Equations (8)

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

d eff oo - o = d 22 cos 3 ϕ , d eff oo - e = d 22 cos θ sin 3 ϕ - d 15 sin θ , d eff oe - e = d 22 cos 2 θ cos 3 ϕ , d eff ee - e = - d 22 cos 3 θ sin 3 ϕ + d 33 sin 3 θ - d 15 cos 2 θ sin θ ;
c eff ooo - e = c 10 sin θ cos 3 ϕ , c eff ooe - e = 1 / 3 c 11 cos 2 θ + c 16 sin 2 θ + c 10 sin 2 θ sin 3 ϕ , c eff oee - e = 3 / 2 c 10 cos θ sin 2 θ cos 3 ϕ .
d A 2 d z = - i σ 2 A 1 2 exp ( i Δ 2 z ) , d A 3 d z = - i σ 3 A 1 A 2 exp ( i Δ 3 z ) - i σ 3 A 1 3 exp ( i Δ 3 z ) ,
Δ 2 = k 2 - k 1 - k 1 ;             Δ 3 = k 3 - k 2 - k 1 ;             Δ 3 = k 3 - k 1 - k 1 - k 1 ,
σ 2 = 4 π ω c n 2 d eff ( ω + ω ) ;             σ 3 = 6 π ω c n 3 d eff ( ω + 2 ω ) ; σ 3 = 6 π ω c n 3 c eff ( ω + ω + ω ) .
A 3 ( z ) = - i σ 2 σ 3 Δ 2 A 1 3 z ;
A 3 ( z ) = i ( σ 2 σ 3 Δ 2 - σ 3 ) A 1 3 z .
δ θ = 2 λ 1 { L [ 3 ( n 3 o - n 3 e ) - s ( n 1 o - n 1 e ) ] sin 2 θ m } - 1 ,

Metrics