Abstract

We determine the absolute magnitude of the dij(2) coefficients of KTP, using type-I and type-II phase-matching second-harmonic-generation efficiency measurements: |d15 (0.532 μm)| = 1.4 ± 0.07 pm/V, |d24 (0.532 μm)| = 2.65 ± 0.13 pm/V, and |d33 (0.532 μm)| = 10.7 ± 0.5 pm/V. We establish that these coefficients have the same sign. We compare the obtained magnitudes with the main previously published results.

© 1994 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. F. C. Zumsteg, J. D. Bierlein, and T. E. Gier, “Kx Rb1−x TiOPO4: a new nonlinear optical material,” J. Appl. Phys. 47, 4980–4985 (1976).
    [CrossRef]
  2. V. I. Voronkova and V. K. Yanovskii, “Ferroelectric phase transition and properties of crystals of the KTiOPO4family,” Kristallographiya 31, 207–211 (1986).
  3. G. Marnier, B. Boulanger, and B. Ménaert, “Melting and ferroelectric transition temperatures of new compounds: CsTiOAsO4and Csx M1−x TiOAsy P1−y O4with M= K or Rb,” J. Phys. Cond. Matter 1, 5509–5513 (1989).
    [CrossRef]
  4. H. Vanherzeele and J. D. Bierlein, “Magnitude of the nonlinear optical coefficients of KTiOPO4,” Opt. Lett. 17, 982–984 (1992).
    [CrossRef] [PubMed]
  5. T. Nishikawa, N. Uesugi, and H. Ito, “Angle tuning characteristics of second-harmonic generation in KTiOPO4,” Appl. Phys. Lett. 55, 1943–1945 (1989).
    [CrossRef]
  6. R. C. Eckardt, H. Masuda, Y. X. Fan, and R. L. Byer, “Absolute and relative nonlinear optical coefficients of KDP, KD*P, BaB2O4, LiIO3, MgO:LiNbO3and KTP measured by phase-matched second harmonic generation,” IEEE J. Quantum Electron. 26, 922–933 (1990).
    [CrossRef]
  7. K. Kato, “Parametric oscillation at 3.2 μ m in KTP pumped at 1.064 μ m,” IEEE J. Quantum Electron. 27, 1137–1140 (1991).
    [CrossRef]
  8. R. DeSalvo, D. J. Hagan, M. Sheik-Bahoe, G. Stegeman, F. W. Van Stryland, and H. Vanherzeele, “Self-focusing and self-defocusing by cascaded second-order effects in KTP,” Opt. Lett. 17, 28–30 (1992).
    [CrossRef] [PubMed]
  9. K. Kato, “Temperature insensitive SHG at 0.5321 μ m in KTP,” IEEE J. Quantum Electron. 28, 1974–1976 (1992).
    [CrossRef]
  10. B. Boulanger, G. Marnier, B. Ménaert, X. Cabirol, J. P. Fève, C. Bonnin, and P. Villeval, “Collinear type II phase-matching for SHG in KTiOAsO4: demonstration of its impossibility at 1.064 μ m and first experiment at 1.32 μ m. Comparison with KTiOPO4,” Nonlinear Opt. 4, 133–142 (1993).
  11. B. Boulanger, J. P. Fève, G. Marnier, B. Ménaert, X. Cabirol, C. Bonnin, and P. Villeval, “Comparative experimental study of KTA and KTP for the SHG at 1.32 μ m and 1.064 μ m,” presented at Meeting on Advanced Solid States Lasers and Compact Blue-Green Lasers, New Orleans, La., February 2–4, 1993.
  12. R. J. Bolt and M. van der Mooren, “Single shot bulk damage threshold and conversion efficiency measurements on flux grown KTiOPO4(KTP),” Opt. Commun. 100, 399–410 (1993).
    [CrossRef]
  13. J. J. Zondy, M. Abed, and K. Salah, “Type-II frequency doubling at λ = 1.30 μ m and λ = 2.53 μ m in flux-grown potassium titanyl phosphate,” submitted to J. Opt. Soc. Am. B.
  14. V. G. Dmitriev, G. G. Gurzadyan, and D. N. Nikogosyan, Handbook of Nonlinear Optical Crystals, Vol. 64 of Springer Series in Optical Sciences (Springer-Verlag, Berlin, 1991), p. 42.
  15. J. J. Zondy, “Comparative theory of walk-off limited type II versus type I second harmonic generation with Gaussian beams,” Opt. Commun. 81, 427–440 (1991).
    [CrossRef]
  16. G. E. Francois, “Cw measurement of the optical nonlinearity of ammonium dihydrogen phosphate,” Phys. Rev. 143, 597–600 (1966).
    [CrossRef]
  17. B. Boulanger and G. Marnier, “Field factor calculation for the study of the relationships between all the 3-wave nonlinear optical interactions in uniaxial and biaxial crystals,” J. Phys. Condens. Matter 3, 8327–8350 (1991).
    [CrossRef]
  18. M. J. Weber, Handbook of Laser Science and Technology, Optical Materials, III (CRC, Boca Raton, Fla., 1986), pt. 1, p. 6.
  19. T. Y. Fan, C. E. Huang, B. Q. Hu, R. C. Eckardt, Y. X. Fan, R. L. Byer, and R. S. Feigelson, “Second harmonic generation and accurate index of refraction measurements in flux-grown KTiOPO4,” Appl. Opt. 26, 2390–2394 (1987).
    [CrossRef] [PubMed]
  20. D. A. Roberts, “Simplified characterization of uniaxial and biaxial nonlinear optical crystals: a plea for standardization of nomenclature and conventions,” J. Quantum Electron. 28, 2057–2074 (1992).
    [CrossRef]
  21. S. P. Velsko and D. Eimerl, “Second harmonic generation in sodium lanthanium fluoride,” J. Appl. Phys. 62, 2461–2465 (1987).
    [CrossRef]
  22. S. P. Velsko, “Direct measurements of phase-matching properties in small single crystals of new nonlinear materials,” Soc. Photo-Opt. Instrum. Eng. Conf. Laser Nonlinear Opt. Eng. 28, 76–84 (1989).
  23. G. Marnier and B. Boulanger, “The sphere method: a new technique in linear and nonlinear crystalline optical studies,” Opt. Commun. 72, 139–143 (1989).
    [CrossRef]
  24. B. Boulanger, “Synthèse en flux et étude des propriétés optiques cristallines linéaires et non linéaires par la méthode de la sphère de KTiOPO4et des nouveaux composés isotypes et solutions solides de formule générale (K,Rb,Cs)TiO(P,As)O4,” Ph.D. dissertation (Université de Nancy, Vandoeuvre-lès-Nancy, France, 1989), pp. 89–95.
  25. W. F. Hagen and P. C. Magnante, “Efficient second harmonic generation with diffraction-limited and high-spectral-radiance Nd:glass lasers,” J. Appl. Phys. 40, 219–224 (1969).
    [CrossRef]

1993 (2)

B. Boulanger, G. Marnier, B. Ménaert, X. Cabirol, J. P. Fève, C. Bonnin, and P. Villeval, “Collinear type II phase-matching for SHG in KTiOAsO4: demonstration of its impossibility at 1.064 μ m and first experiment at 1.32 μ m. Comparison with KTiOPO4,” Nonlinear Opt. 4, 133–142 (1993).

R. J. Bolt and M. van der Mooren, “Single shot bulk damage threshold and conversion efficiency measurements on flux grown KTiOPO4(KTP),” Opt. Commun. 100, 399–410 (1993).
[CrossRef]

1992 (4)

K. Kato, “Temperature insensitive SHG at 0.5321 μ m in KTP,” IEEE J. Quantum Electron. 28, 1974–1976 (1992).
[CrossRef]

D. A. Roberts, “Simplified characterization of uniaxial and biaxial nonlinear optical crystals: a plea for standardization of nomenclature and conventions,” J. Quantum Electron. 28, 2057–2074 (1992).
[CrossRef]

R. DeSalvo, D. J. Hagan, M. Sheik-Bahoe, G. Stegeman, F. W. Van Stryland, and H. Vanherzeele, “Self-focusing and self-defocusing by cascaded second-order effects in KTP,” Opt. Lett. 17, 28–30 (1992).
[CrossRef] [PubMed]

H. Vanherzeele and J. D. Bierlein, “Magnitude of the nonlinear optical coefficients of KTiOPO4,” Opt. Lett. 17, 982–984 (1992).
[CrossRef] [PubMed]

1991 (3)

B. Boulanger and G. Marnier, “Field factor calculation for the study of the relationships between all the 3-wave nonlinear optical interactions in uniaxial and biaxial crystals,” J. Phys. Condens. Matter 3, 8327–8350 (1991).
[CrossRef]

K. Kato, “Parametric oscillation at 3.2 μ m in KTP pumped at 1.064 μ m,” IEEE J. Quantum Electron. 27, 1137–1140 (1991).
[CrossRef]

J. J. Zondy, “Comparative theory of walk-off limited type II versus type I second harmonic generation with Gaussian beams,” Opt. Commun. 81, 427–440 (1991).
[CrossRef]

1990 (1)

R. C. Eckardt, H. Masuda, Y. X. Fan, and R. L. Byer, “Absolute and relative nonlinear optical coefficients of KDP, KD*P, BaB2O4, LiIO3, MgO:LiNbO3and KTP measured by phase-matched second harmonic generation,” IEEE J. Quantum Electron. 26, 922–933 (1990).
[CrossRef]

1989 (4)

S. P. Velsko, “Direct measurements of phase-matching properties in small single crystals of new nonlinear materials,” Soc. Photo-Opt. Instrum. Eng. Conf. Laser Nonlinear Opt. Eng. 28, 76–84 (1989).

G. Marnier and B. Boulanger, “The sphere method: a new technique in linear and nonlinear crystalline optical studies,” Opt. Commun. 72, 139–143 (1989).
[CrossRef]

G. Marnier, B. Boulanger, and B. Ménaert, “Melting and ferroelectric transition temperatures of new compounds: CsTiOAsO4and Csx M1−x TiOAsy P1−y O4with M= K or Rb,” J. Phys. Cond. Matter 1, 5509–5513 (1989).
[CrossRef]

T. Nishikawa, N. Uesugi, and H. Ito, “Angle tuning characteristics of second-harmonic generation in KTiOPO4,” Appl. Phys. Lett. 55, 1943–1945 (1989).
[CrossRef]

1987 (2)

1986 (1)

V. I. Voronkova and V. K. Yanovskii, “Ferroelectric phase transition and properties of crystals of the KTiOPO4family,” Kristallographiya 31, 207–211 (1986).

1976 (1)

F. C. Zumsteg, J. D. Bierlein, and T. E. Gier, “Kx Rb1−x TiOPO4: a new nonlinear optical material,” J. Appl. Phys. 47, 4980–4985 (1976).
[CrossRef]

1969 (1)

W. F. Hagen and P. C. Magnante, “Efficient second harmonic generation with diffraction-limited and high-spectral-radiance Nd:glass lasers,” J. Appl. Phys. 40, 219–224 (1969).
[CrossRef]

1966 (1)

G. E. Francois, “Cw measurement of the optical nonlinearity of ammonium dihydrogen phosphate,” Phys. Rev. 143, 597–600 (1966).
[CrossRef]

Abed, M.

J. J. Zondy, M. Abed, and K. Salah, “Type-II frequency doubling at λ = 1.30 μ m and λ = 2.53 μ m in flux-grown potassium titanyl phosphate,” submitted to J. Opt. Soc. Am. B.

Bierlein, J. D.

H. Vanherzeele and J. D. Bierlein, “Magnitude of the nonlinear optical coefficients of KTiOPO4,” Opt. Lett. 17, 982–984 (1992).
[CrossRef] [PubMed]

F. C. Zumsteg, J. D. Bierlein, and T. E. Gier, “Kx Rb1−x TiOPO4: a new nonlinear optical material,” J. Appl. Phys. 47, 4980–4985 (1976).
[CrossRef]

Bolt, R. J.

R. J. Bolt and M. van der Mooren, “Single shot bulk damage threshold and conversion efficiency measurements on flux grown KTiOPO4(KTP),” Opt. Commun. 100, 399–410 (1993).
[CrossRef]

Bonnin, C.

B. Boulanger, G. Marnier, B. Ménaert, X. Cabirol, J. P. Fève, C. Bonnin, and P. Villeval, “Collinear type II phase-matching for SHG in KTiOAsO4: demonstration of its impossibility at 1.064 μ m and first experiment at 1.32 μ m. Comparison with KTiOPO4,” Nonlinear Opt. 4, 133–142 (1993).

B. Boulanger, J. P. Fève, G. Marnier, B. Ménaert, X. Cabirol, C. Bonnin, and P. Villeval, “Comparative experimental study of KTA and KTP for the SHG at 1.32 μ m and 1.064 μ m,” presented at Meeting on Advanced Solid States Lasers and Compact Blue-Green Lasers, New Orleans, La., February 2–4, 1993.

Boulanger, B.

B. Boulanger, G. Marnier, B. Ménaert, X. Cabirol, J. P. Fève, C. Bonnin, and P. Villeval, “Collinear type II phase-matching for SHG in KTiOAsO4: demonstration of its impossibility at 1.064 μ m and first experiment at 1.32 μ m. Comparison with KTiOPO4,” Nonlinear Opt. 4, 133–142 (1993).

B. Boulanger and G. Marnier, “Field factor calculation for the study of the relationships between all the 3-wave nonlinear optical interactions in uniaxial and biaxial crystals,” J. Phys. Condens. Matter 3, 8327–8350 (1991).
[CrossRef]

G. Marnier, B. Boulanger, and B. Ménaert, “Melting and ferroelectric transition temperatures of new compounds: CsTiOAsO4and Csx M1−x TiOAsy P1−y O4with M= K or Rb,” J. Phys. Cond. Matter 1, 5509–5513 (1989).
[CrossRef]

G. Marnier and B. Boulanger, “The sphere method: a new technique in linear and nonlinear crystalline optical studies,” Opt. Commun. 72, 139–143 (1989).
[CrossRef]

B. Boulanger, “Synthèse en flux et étude des propriétés optiques cristallines linéaires et non linéaires par la méthode de la sphère de KTiOPO4et des nouveaux composés isotypes et solutions solides de formule générale (K,Rb,Cs)TiO(P,As)O4,” Ph.D. dissertation (Université de Nancy, Vandoeuvre-lès-Nancy, France, 1989), pp. 89–95.

B. Boulanger, J. P. Fève, G. Marnier, B. Ménaert, X. Cabirol, C. Bonnin, and P. Villeval, “Comparative experimental study of KTA and KTP for the SHG at 1.32 μ m and 1.064 μ m,” presented at Meeting on Advanced Solid States Lasers and Compact Blue-Green Lasers, New Orleans, La., February 2–4, 1993.

Byer, R. L.

R. C. Eckardt, H. Masuda, Y. X. Fan, and R. L. Byer, “Absolute and relative nonlinear optical coefficients of KDP, KD*P, BaB2O4, LiIO3, MgO:LiNbO3and KTP measured by phase-matched second harmonic generation,” IEEE J. Quantum Electron. 26, 922–933 (1990).
[CrossRef]

T. Y. Fan, C. E. Huang, B. Q. Hu, R. C. Eckardt, Y. X. Fan, R. L. Byer, and R. S. Feigelson, “Second harmonic generation and accurate index of refraction measurements in flux-grown KTiOPO4,” Appl. Opt. 26, 2390–2394 (1987).
[CrossRef] [PubMed]

Cabirol, X.

B. Boulanger, G. Marnier, B. Ménaert, X. Cabirol, J. P. Fève, C. Bonnin, and P. Villeval, “Collinear type II phase-matching for SHG in KTiOAsO4: demonstration of its impossibility at 1.064 μ m and first experiment at 1.32 μ m. Comparison with KTiOPO4,” Nonlinear Opt. 4, 133–142 (1993).

B. Boulanger, J. P. Fève, G. Marnier, B. Ménaert, X. Cabirol, C. Bonnin, and P. Villeval, “Comparative experimental study of KTA and KTP for the SHG at 1.32 μ m and 1.064 μ m,” presented at Meeting on Advanced Solid States Lasers and Compact Blue-Green Lasers, New Orleans, La., February 2–4, 1993.

DeSalvo, R.

Dmitriev, V. G.

V. G. Dmitriev, G. G. Gurzadyan, and D. N. Nikogosyan, Handbook of Nonlinear Optical Crystals, Vol. 64 of Springer Series in Optical Sciences (Springer-Verlag, Berlin, 1991), p. 42.

Eckardt, R. C.

R. C. Eckardt, H. Masuda, Y. X. Fan, and R. L. Byer, “Absolute and relative nonlinear optical coefficients of KDP, KD*P, BaB2O4, LiIO3, MgO:LiNbO3and KTP measured by phase-matched second harmonic generation,” IEEE J. Quantum Electron. 26, 922–933 (1990).
[CrossRef]

T. Y. Fan, C. E. Huang, B. Q. Hu, R. C. Eckardt, Y. X. Fan, R. L. Byer, and R. S. Feigelson, “Second harmonic generation and accurate index of refraction measurements in flux-grown KTiOPO4,” Appl. Opt. 26, 2390–2394 (1987).
[CrossRef] [PubMed]

Eimerl, D.

S. P. Velsko and D. Eimerl, “Second harmonic generation in sodium lanthanium fluoride,” J. Appl. Phys. 62, 2461–2465 (1987).
[CrossRef]

Fan, T. Y.

Fan, Y. X.

R. C. Eckardt, H. Masuda, Y. X. Fan, and R. L. Byer, “Absolute and relative nonlinear optical coefficients of KDP, KD*P, BaB2O4, LiIO3, MgO:LiNbO3and KTP measured by phase-matched second harmonic generation,” IEEE J. Quantum Electron. 26, 922–933 (1990).
[CrossRef]

T. Y. Fan, C. E. Huang, B. Q. Hu, R. C. Eckardt, Y. X. Fan, R. L. Byer, and R. S. Feigelson, “Second harmonic generation and accurate index of refraction measurements in flux-grown KTiOPO4,” Appl. Opt. 26, 2390–2394 (1987).
[CrossRef] [PubMed]

Feigelson, R. S.

Fève, J. P.

B. Boulanger, G. Marnier, B. Ménaert, X. Cabirol, J. P. Fève, C. Bonnin, and P. Villeval, “Collinear type II phase-matching for SHG in KTiOAsO4: demonstration of its impossibility at 1.064 μ m and first experiment at 1.32 μ m. Comparison with KTiOPO4,” Nonlinear Opt. 4, 133–142 (1993).

B. Boulanger, J. P. Fève, G. Marnier, B. Ménaert, X. Cabirol, C. Bonnin, and P. Villeval, “Comparative experimental study of KTA and KTP for the SHG at 1.32 μ m and 1.064 μ m,” presented at Meeting on Advanced Solid States Lasers and Compact Blue-Green Lasers, New Orleans, La., February 2–4, 1993.

Francois, G. E.

G. E. Francois, “Cw measurement of the optical nonlinearity of ammonium dihydrogen phosphate,” Phys. Rev. 143, 597–600 (1966).
[CrossRef]

Gier, T. E.

F. C. Zumsteg, J. D. Bierlein, and T. E. Gier, “Kx Rb1−x TiOPO4: a new nonlinear optical material,” J. Appl. Phys. 47, 4980–4985 (1976).
[CrossRef]

Gurzadyan, G. G.

V. G. Dmitriev, G. G. Gurzadyan, and D. N. Nikogosyan, Handbook of Nonlinear Optical Crystals, Vol. 64 of Springer Series in Optical Sciences (Springer-Verlag, Berlin, 1991), p. 42.

Hagan, D. J.

Hagen, W. F.

W. F. Hagen and P. C. Magnante, “Efficient second harmonic generation with diffraction-limited and high-spectral-radiance Nd:glass lasers,” J. Appl. Phys. 40, 219–224 (1969).
[CrossRef]

Hu, B. Q.

Huang, C. E.

Ito, H.

T. Nishikawa, N. Uesugi, and H. Ito, “Angle tuning characteristics of second-harmonic generation in KTiOPO4,” Appl. Phys. Lett. 55, 1943–1945 (1989).
[CrossRef]

Kato, K.

K. Kato, “Temperature insensitive SHG at 0.5321 μ m in KTP,” IEEE J. Quantum Electron. 28, 1974–1976 (1992).
[CrossRef]

K. Kato, “Parametric oscillation at 3.2 μ m in KTP pumped at 1.064 μ m,” IEEE J. Quantum Electron. 27, 1137–1140 (1991).
[CrossRef]

Magnante, P. C.

W. F. Hagen and P. C. Magnante, “Efficient second harmonic generation with diffraction-limited and high-spectral-radiance Nd:glass lasers,” J. Appl. Phys. 40, 219–224 (1969).
[CrossRef]

Marnier, G.

B. Boulanger, G. Marnier, B. Ménaert, X. Cabirol, J. P. Fève, C. Bonnin, and P. Villeval, “Collinear type II phase-matching for SHG in KTiOAsO4: demonstration of its impossibility at 1.064 μ m and first experiment at 1.32 μ m. Comparison with KTiOPO4,” Nonlinear Opt. 4, 133–142 (1993).

B. Boulanger and G. Marnier, “Field factor calculation for the study of the relationships between all the 3-wave nonlinear optical interactions in uniaxial and biaxial crystals,” J. Phys. Condens. Matter 3, 8327–8350 (1991).
[CrossRef]

G. Marnier, B. Boulanger, and B. Ménaert, “Melting and ferroelectric transition temperatures of new compounds: CsTiOAsO4and Csx M1−x TiOAsy P1−y O4with M= K or Rb,” J. Phys. Cond. Matter 1, 5509–5513 (1989).
[CrossRef]

G. Marnier and B. Boulanger, “The sphere method: a new technique in linear and nonlinear crystalline optical studies,” Opt. Commun. 72, 139–143 (1989).
[CrossRef]

B. Boulanger, J. P. Fève, G. Marnier, B. Ménaert, X. Cabirol, C. Bonnin, and P. Villeval, “Comparative experimental study of KTA and KTP for the SHG at 1.32 μ m and 1.064 μ m,” presented at Meeting on Advanced Solid States Lasers and Compact Blue-Green Lasers, New Orleans, La., February 2–4, 1993.

Masuda, H.

R. C. Eckardt, H. Masuda, Y. X. Fan, and R. L. Byer, “Absolute and relative nonlinear optical coefficients of KDP, KD*P, BaB2O4, LiIO3, MgO:LiNbO3and KTP measured by phase-matched second harmonic generation,” IEEE J. Quantum Electron. 26, 922–933 (1990).
[CrossRef]

Ménaert, B.

B. Boulanger, G. Marnier, B. Ménaert, X. Cabirol, J. P. Fève, C. Bonnin, and P. Villeval, “Collinear type II phase-matching for SHG in KTiOAsO4: demonstration of its impossibility at 1.064 μ m and first experiment at 1.32 μ m. Comparison with KTiOPO4,” Nonlinear Opt. 4, 133–142 (1993).

G. Marnier, B. Boulanger, and B. Ménaert, “Melting and ferroelectric transition temperatures of new compounds: CsTiOAsO4and Csx M1−x TiOAsy P1−y O4with M= K or Rb,” J. Phys. Cond. Matter 1, 5509–5513 (1989).
[CrossRef]

B. Boulanger, J. P. Fève, G. Marnier, B. Ménaert, X. Cabirol, C. Bonnin, and P. Villeval, “Comparative experimental study of KTA and KTP for the SHG at 1.32 μ m and 1.064 μ m,” presented at Meeting on Advanced Solid States Lasers and Compact Blue-Green Lasers, New Orleans, La., February 2–4, 1993.

Nikogosyan, D. N.

V. G. Dmitriev, G. G. Gurzadyan, and D. N. Nikogosyan, Handbook of Nonlinear Optical Crystals, Vol. 64 of Springer Series in Optical Sciences (Springer-Verlag, Berlin, 1991), p. 42.

Nishikawa, T.

T. Nishikawa, N. Uesugi, and H. Ito, “Angle tuning characteristics of second-harmonic generation in KTiOPO4,” Appl. Phys. Lett. 55, 1943–1945 (1989).
[CrossRef]

Roberts, D. A.

D. A. Roberts, “Simplified characterization of uniaxial and biaxial nonlinear optical crystals: a plea for standardization of nomenclature and conventions,” J. Quantum Electron. 28, 2057–2074 (1992).
[CrossRef]

Salah, K.

J. J. Zondy, M. Abed, and K. Salah, “Type-II frequency doubling at λ = 1.30 μ m and λ = 2.53 μ m in flux-grown potassium titanyl phosphate,” submitted to J. Opt. Soc. Am. B.

Sheik-Bahoe, M.

Stegeman, G.

Uesugi, N.

T. Nishikawa, N. Uesugi, and H. Ito, “Angle tuning characteristics of second-harmonic generation in KTiOPO4,” Appl. Phys. Lett. 55, 1943–1945 (1989).
[CrossRef]

van der Mooren, M.

R. J. Bolt and M. van der Mooren, “Single shot bulk damage threshold and conversion efficiency measurements on flux grown KTiOPO4(KTP),” Opt. Commun. 100, 399–410 (1993).
[CrossRef]

Van Stryland, F. W.

Vanherzeele, H.

Velsko, S. P.

S. P. Velsko, “Direct measurements of phase-matching properties in small single crystals of new nonlinear materials,” Soc. Photo-Opt. Instrum. Eng. Conf. Laser Nonlinear Opt. Eng. 28, 76–84 (1989).

S. P. Velsko and D. Eimerl, “Second harmonic generation in sodium lanthanium fluoride,” J. Appl. Phys. 62, 2461–2465 (1987).
[CrossRef]

Villeval, P.

B. Boulanger, G. Marnier, B. Ménaert, X. Cabirol, J. P. Fève, C. Bonnin, and P. Villeval, “Collinear type II phase-matching for SHG in KTiOAsO4: demonstration of its impossibility at 1.064 μ m and first experiment at 1.32 μ m. Comparison with KTiOPO4,” Nonlinear Opt. 4, 133–142 (1993).

B. Boulanger, J. P. Fève, G. Marnier, B. Ménaert, X. Cabirol, C. Bonnin, and P. Villeval, “Comparative experimental study of KTA and KTP for the SHG at 1.32 μ m and 1.064 μ m,” presented at Meeting on Advanced Solid States Lasers and Compact Blue-Green Lasers, New Orleans, La., February 2–4, 1993.

Voronkova, V. I.

V. I. Voronkova and V. K. Yanovskii, “Ferroelectric phase transition and properties of crystals of the KTiOPO4family,” Kristallographiya 31, 207–211 (1986).

Weber, M. J.

M. J. Weber, Handbook of Laser Science and Technology, Optical Materials, III (CRC, Boca Raton, Fla., 1986), pt. 1, p. 6.

Yanovskii, V. K.

V. I. Voronkova and V. K. Yanovskii, “Ferroelectric phase transition and properties of crystals of the KTiOPO4family,” Kristallographiya 31, 207–211 (1986).

Zondy, J. J.

J. J. Zondy, “Comparative theory of walk-off limited type II versus type I second harmonic generation with Gaussian beams,” Opt. Commun. 81, 427–440 (1991).
[CrossRef]

J. J. Zondy, M. Abed, and K. Salah, “Type-II frequency doubling at λ = 1.30 μ m and λ = 2.53 μ m in flux-grown potassium titanyl phosphate,” submitted to J. Opt. Soc. Am. B.

Zumsteg, F. C.

F. C. Zumsteg, J. D. Bierlein, and T. E. Gier, “Kx Rb1−x TiOPO4: a new nonlinear optical material,” J. Appl. Phys. 47, 4980–4985 (1976).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. Lett. (1)

T. Nishikawa, N. Uesugi, and H. Ito, “Angle tuning characteristics of second-harmonic generation in KTiOPO4,” Appl. Phys. Lett. 55, 1943–1945 (1989).
[CrossRef]

IEEE J. Quantum Electron. (3)

R. C. Eckardt, H. Masuda, Y. X. Fan, and R. L. Byer, “Absolute and relative nonlinear optical coefficients of KDP, KD*P, BaB2O4, LiIO3, MgO:LiNbO3and KTP measured by phase-matched second harmonic generation,” IEEE J. Quantum Electron. 26, 922–933 (1990).
[CrossRef]

K. Kato, “Parametric oscillation at 3.2 μ m in KTP pumped at 1.064 μ m,” IEEE J. Quantum Electron. 27, 1137–1140 (1991).
[CrossRef]

K. Kato, “Temperature insensitive SHG at 0.5321 μ m in KTP,” IEEE J. Quantum Electron. 28, 1974–1976 (1992).
[CrossRef]

J. Appl. Phys. (3)

F. C. Zumsteg, J. D. Bierlein, and T. E. Gier, “Kx Rb1−x TiOPO4: a new nonlinear optical material,” J. Appl. Phys. 47, 4980–4985 (1976).
[CrossRef]

S. P. Velsko and D. Eimerl, “Second harmonic generation in sodium lanthanium fluoride,” J. Appl. Phys. 62, 2461–2465 (1987).
[CrossRef]

W. F. Hagen and P. C. Magnante, “Efficient second harmonic generation with diffraction-limited and high-spectral-radiance Nd:glass lasers,” J. Appl. Phys. 40, 219–224 (1969).
[CrossRef]

J. Phys. Cond. Matter (1)

G. Marnier, B. Boulanger, and B. Ménaert, “Melting and ferroelectric transition temperatures of new compounds: CsTiOAsO4and Csx M1−x TiOAsy P1−y O4with M= K or Rb,” J. Phys. Cond. Matter 1, 5509–5513 (1989).
[CrossRef]

J. Phys. Condens. Matter (1)

B. Boulanger and G. Marnier, “Field factor calculation for the study of the relationships between all the 3-wave nonlinear optical interactions in uniaxial and biaxial crystals,” J. Phys. Condens. Matter 3, 8327–8350 (1991).
[CrossRef]

J. Quantum Electron. (1)

D. A. Roberts, “Simplified characterization of uniaxial and biaxial nonlinear optical crystals: a plea for standardization of nomenclature and conventions,” J. Quantum Electron. 28, 2057–2074 (1992).
[CrossRef]

Kristallographiya (1)

V. I. Voronkova and V. K. Yanovskii, “Ferroelectric phase transition and properties of crystals of the KTiOPO4family,” Kristallographiya 31, 207–211 (1986).

Nonlinear Opt. (1)

B. Boulanger, G. Marnier, B. Ménaert, X. Cabirol, J. P. Fève, C. Bonnin, and P. Villeval, “Collinear type II phase-matching for SHG in KTiOAsO4: demonstration of its impossibility at 1.064 μ m and first experiment at 1.32 μ m. Comparison with KTiOPO4,” Nonlinear Opt. 4, 133–142 (1993).

Opt. Commun. (3)

R. J. Bolt and M. van der Mooren, “Single shot bulk damage threshold and conversion efficiency measurements on flux grown KTiOPO4(KTP),” Opt. Commun. 100, 399–410 (1993).
[CrossRef]

J. J. Zondy, “Comparative theory of walk-off limited type II versus type I second harmonic generation with Gaussian beams,” Opt. Commun. 81, 427–440 (1991).
[CrossRef]

G. Marnier and B. Boulanger, “The sphere method: a new technique in linear and nonlinear crystalline optical studies,” Opt. Commun. 72, 139–143 (1989).
[CrossRef]

Opt. Lett. (2)

Phys. Rev. (1)

G. E. Francois, “Cw measurement of the optical nonlinearity of ammonium dihydrogen phosphate,” Phys. Rev. 143, 597–600 (1966).
[CrossRef]

Soc. Photo-Opt. Instrum. Eng. Conf. Laser Nonlinear Opt. Eng. (1)

S. P. Velsko, “Direct measurements of phase-matching properties in small single crystals of new nonlinear materials,” Soc. Photo-Opt. Instrum. Eng. Conf. Laser Nonlinear Opt. Eng. 28, 76–84 (1989).

Other (5)

B. Boulanger, “Synthèse en flux et étude des propriétés optiques cristallines linéaires et non linéaires par la méthode de la sphère de KTiOPO4et des nouveaux composés isotypes et solutions solides de formule générale (K,Rb,Cs)TiO(P,As)O4,” Ph.D. dissertation (Université de Nancy, Vandoeuvre-lès-Nancy, France, 1989), pp. 89–95.

M. J. Weber, Handbook of Laser Science and Technology, Optical Materials, III (CRC, Boca Raton, Fla., 1986), pt. 1, p. 6.

J. J. Zondy, M. Abed, and K. Salah, “Type-II frequency doubling at λ = 1.30 μ m and λ = 2.53 μ m in flux-grown potassium titanyl phosphate,” submitted to J. Opt. Soc. Am. B.

V. G. Dmitriev, G. G. Gurzadyan, and D. N. Nikogosyan, Handbook of Nonlinear Optical Crystals, Vol. 64 of Springer Series in Optical Sciences (Springer-Verlag, Berlin, 1991), p. 42.

B. Boulanger, J. P. Fève, G. Marnier, B. Ménaert, X. Cabirol, C. Bonnin, and P. Villeval, “Comparative experimental study of KTA and KTP for the SHG at 1.32 μ m and 1.064 μ m,” presented at Meeting on Advanced Solid States Lasers and Compact Blue-Green Lasers, New Orleans, La., February 2–4, 1993.

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 (4)

Fig. 1
Fig. 1

Experimental setup for the measurement of the phase-matching directions and SHG efficiencies.

Fig. 2
Fig. 2

Spherical coordinates (θ, ϕ) of phase-matched type-I SHG (1.32 μm → 0.66 μm) and type-II SHG (1.064 μm → 0.532 μm) directions measured in a KTP sphere.

Fig. 3
Fig. 3

Type-II SHG (1.064 μm → 0.532 μm) efficiency measured in a KTP sphere as a function of the phase-matching direction. The angle θ corresponding to the angle ϕ is given in Fig. 2. (b) Field factors of type-II SHG (1.064 μm → 0.532 μm) in KTP calculated as a function of the phase-matching direction.

Fig. 4
Fig. 4

(a) Field factors of type-I SHG (1.32 μm → 0.66 μm) in KTP, calculated as a function of the phase-matching direction. (b) Type-I SHG (1.32 μm → 0.66 μm) efficiency measured in a KTP sphere as a function of the phase-matching direction. The correspondence between θ and ϕ is given in Fig. 2.

Tables (2)

Tables Icon

Table 1 Calculated Characteristics of the Three Phase-Matching Directions Used for the Determination of d15, d24, and d33 from Conversion-Efficiency Measurementsa

Tables Icon

Table 2 Main Results Published for the Quadratic Optical Nonlinearity of KTP

Equations (23)

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

d 24 ( 0.66 μ m ) d 15 ( 0.66 μ m ) = 1.9 ± 0.1.
η x - y II = P x - y II ( 0.532 μ m ) P 0 ω ( 1.064 μ m ) = 8.19 ± 0.29 × 10 - 6 ,
η y - z II = P y = z II ( 0.532 μ m ) P 0 ω ( 1.064 μ m ) = 1.92 ± 0.07 × 10 - 6 .
d eff = ( N 2 N - 1 η A ) 1 / 2 .
A = ( 9.5 × 10 - 9 ) T 3 2 ω T 1 ω T 2 ω λ 2 cos 4 ( ρ 2 ω ) n 3 2 ω n 1 ω n 2 ω P 0 ω w 0 2 L 2 G ( ρ , L , w 0 ) .
N 2 N - 1 1 2 .
d eff x - y II ( 1.064 μ m 0.532 μ m ) = 2.43 ± 0.12 pm / V ,
d eff y - z II ( 1.064 μ m 0.532 μ m ) = 1.29 ± 0.07 pm / V .
d eff ( ω + ω = 2 ω ) = F 15 ( ω , 2 ω ) d 15 ( 2 ω ) + F 24 ( ω , 2 ω ) d 24 ( 2 ω ) + F 31 ( ω , 2 ω ) d 31 ( 2 ω ) + F 32 ( ω , 2 ω ) d 32 ( 2 ω ) + F 33 ( ω , 2 ω ) d 33 ( 2 ω ) .
χ i j ( 2 ) = 2 d i j ( 2 ) .
F 15 ( θ , ϕ ) = e x 3 2 ω ( θ , ϕ ) × [ e x 1 ω ( θ , ϕ ) e z 2 ω ( θ , ϕ ) + e z 1 ω ( θ , ϕ ) e x 2 ω ( θ , ϕ ) ] , F 24 ( θ , ϕ ) = e y 3 2 ω ( θ , ϕ ) × [ e y 1 ω ( θ , ϕ ) e z 2 ω ( θ , ϕ ) + e z 1 ω ( θ , ϕ ) e y 2 ω ( θ , ϕ ) ] , F 31 ( θ , ϕ ) = e z 3 2 ω ( θ , ϕ ) e x 1 ω ( θ , ϕ ) e x 2 ω ( θ , ϕ ) , F 32 ( θ , ϕ ) = e z 3 2 ω ( θ , ϕ ) e y 1 ω ( θ , ϕ ) e y 2 ω ( θ , ϕ ) , F 33 ( θ , ϕ ) = e z 3 2 ω ( θ , ϕ ) e z 1 ω ( θ , ϕ ) e z 2 ω ( θ , ϕ ) .
d 15 ( 0.532 μ m ) = 1.4 ± 0.07 pm / V ,
d 24 ( 0.532 μ m ) = 3.26 ± 0.16 pm / V , i . e . , d 24 ( 0.532 μ m ) d 15 ( 0.532 μ m ) = 2.3 ± 0.03 ;
d 24 ( 0.532 μ m ) = 2.65 ± 0.13 pm / V , i . e . , d 24 ( 0.532 μ m ) d 15 ( 0.532 μ m ) = 1.89 ± 0.03.
F 15 ( θ , ϕ ) - F 24 ( θ , ϕ ) ,
F 31 ( θ , ϕ ) F 32 ( θ , ϕ + π 2 ) ,
F 15 + F 24 ( F 31 , F 32 , F 33 ) .
d 15 - d 31 ,             d 24 = d 32 .
d eff real - d eff Kleinman = F 31 ( d 31 - d 15 ) + F 32 ( d 32 - d 24 ) 0.
η max I ( 1.064 μ m 0.532 μ m ) = 1.67 ± 0.06 × 10 - 7 .
d eff max I ( 1.064 μ m 0.532 μ m ) = 0.37 ± 0.02 pm / V .
d 33 ( 0.532 μ m ) = + 39.5 ± 2 pm / V             for             d eff max I > 0 ,
d 33 ( 0.532 μ m ) = + 10.7 ± 0.5 pm / V             for             d eff max I < 0.

Metrics