Abstract

The relations between the tensor components of the nonlinear susceptibilities responsible for self-action processes are measured in KDP, deuterated KDP, and LiNbO3 crystals at the Nd:YAG laser wavelength (λ=1064nm). The measurements are conducted on the basis of the analysis of the polarization dependences of focused radiation transmittance with the z-scan scheme. The obtained polarization dependences in KDP corresponded to the fourth-rank tensor of Kerr nonlinearity. The obtained values of nonlinear refractive indices are compared with the known experimental data.

© 2006 Optical Society of America

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    [CrossRef]
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  4. M. Sheik-Bahae, D. C. Hutchings, D. J. Hagan, and E. W. van Stryland, "Dispersion of bound electron nonlinear refraction in solids," IEEE J. Quantum Electron. 27, 1296-1309 (1991).
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    [CrossRef]
  6. R. DeSalvo, A. A. Said, J. Hagan, E. W. van Stryland, and M. Sheik-Bahae, "Infrared to ultraviolet measurements of two-photon absorption and n2 in wide bandgap solids," IEEE J. Quantum Electron. 32, 1324-1333 (1996).
    [CrossRef]
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    [CrossRef]
  9. R. DeSalvo, M. Sheik-Bahae, A. A. Said, D. J. Hagan, and E. W. van Stryland, "Z-scan measurements of anisotropy of nonlinear refraction and absorption in crystals," Opt. Lett. 18, 194-196 (1993).
    [CrossRef] [PubMed]
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    [CrossRef]
  12. R. A. Ganeev, S. R. Kamalov, I. A. Kulagin, A. V. Zinoviev, V. I. Redkorechev, A. I. Ryasnyanskiy, R. I. Tugushev, and T. Usmanov, "An automated set-up for investigation of nonlinear optical characteristics of various materials by the z-scan method," Instrum. Exp. Tech. 45, 810-815 (2002).
    [CrossRef]
  13. V. G. Dmitriev, G. G. Gurzadyan, and D. N. Nikogosyan, Handbook of Nonlinear Optical Crystals (Springer-Verlag, 1999).
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    [CrossRef]
  16. W. L. Smith, J. H. Bechtel, and N. Bloembergen, "Dielectric breakdown threshold and nonlinear refraction index measurements with picosecond laser pulses," Phys. Rev. B 12, 706-714 (1975).
    [CrossRef]
  17. R. A. Ganeev, I. A. Kulagin, A. I. Ryasnyansky, R. I. Tugushev, and T. Usmanov, "Characterization of nonlinear-optical parameters of KDP, LiNbO3 and BBO crystals", Opt. Commun. 229, 403-412 (2004).
    [CrossRef]
  18. H. P. Li, C. H. Kam, Y. L. Lam, and W. Ji, "Femtosecond z-scan measurements of nonlinear refraction in nonlinear optical crystals," Opt. Mater. 15, 237-242 (2001).
    [CrossRef]

2004 (1)

R. A. Ganeev, I. A. Kulagin, A. I. Ryasnyansky, R. I. Tugushev, and T. Usmanov, "Characterization of nonlinear-optical parameters of KDP, LiNbO3 and BBO crystals", Opt. Commun. 229, 403-412 (2004).
[CrossRef]

2002 (1)

R. A. Ganeev, S. R. Kamalov, I. A. Kulagin, A. V. Zinoviev, V. I. Redkorechev, A. I. Ryasnyanskiy, R. I. Tugushev, and T. Usmanov, "An automated set-up for investigation of nonlinear optical characteristics of various materials by the z-scan method," Instrum. Exp. Tech. 45, 810-815 (2002).
[CrossRef]

2001 (2)

X. Meng, J.-C. Diels, D. Kuehike, R. Batchko, and R. Byer, "Bidirectional synchronously pumped, ring optical parametric oscillator," Opt. Lett. 26, 265-267 (2001).
[CrossRef]

H. P. Li, C. H. Kam, Y. L. Lam, and W. Ji, "Femtosecond z-scan measurements of nonlinear refraction in nonlinear optical crystals," Opt. Mater. 15, 237-242 (2001).
[CrossRef]

2000 (1)

R. A. Ganeev, I. A. Kulagin, U. K. Sapaev, and T. Usmanov, "Peculiarities of self-action in second harmonic generation of laser radiation in nonlinear crystals," Opt. Spectrosc. 89, 308-311 (2000).
[CrossRef]

1998 (1)

1997 (2)

M. Sheik-Bahae and M. Ebrahimzadeh, "Measurements of nonlinear refraction in the second order chi(2) materials KTiOPO4, KNbO3, beta-BaB2O4, and LiB5O5," Opt. Commun. 142, 294-298 (1997).
[CrossRef]

N. A. Kurnit, T. Shimada, M. S. Sorem, A. J. Taylor, G. Rodriguez, T. S. Clement, H. Fearn, D. F. James, and P. W. Milonni, "Measurements and control of optical nonlinearities for glass laser fusion system" in Solid State Lasers for Application to Inertial Confinement Fusion, M. L. Andre, ed., Proc. SPIE 3047, 387-395 (1997).

1996 (1)

R. DeSalvo, A. A. Said, J. Hagan, E. W. van Stryland, and M. Sheik-Bahae, "Infrared to ultraviolet measurements of two-photon absorption and n2 in wide bandgap solids," IEEE J. Quantum Electron. 32, 1324-1333 (1996).
[CrossRef]

1995 (1)

1993 (1)

1991 (1)

M. Sheik-Bahae, D. C. Hutchings, D. J. Hagan, and E. W. van Stryland, "Dispersion of bound electron nonlinear refraction in solids," IEEE J. Quantum Electron. 27, 1296-1309 (1991).
[CrossRef]

1990 (1)

M. Sheik-Bahae, A. A. Said, T. H. Wei, D. J. Hagan, and E. W. van Stryland, "Sensitive measurements of anisotropy of nonlinear refraction and absorption in crystals," IEEE J. Quantum Electron. 26, 760-769 (1990).
[CrossRef]

1989 (1)

R. Adair, L. L. Chase, and A. A. Payne, "Nonlinear refraction index of optical crystals," Phys. Rev. B 39, 3337-3350 (1989).
[CrossRef]

1975 (1)

W. L. Smith, J. H. Bechtel, and N. Bloembergen, "Dielectric breakdown threshold and nonlinear refraction index measurements with picosecond laser pulses," Phys. Rev. B 12, 706-714 (1975).
[CrossRef]

Adair, R.

R. Adair, L. L. Chase, and A. A. Payne, "Nonlinear refraction index of optical crystals," Phys. Rev. B 39, 3337-3350 (1989).
[CrossRef]

Batchko, R.

Bechtel, J. H.

W. L. Smith, J. H. Bechtel, and N. Bloembergen, "Dielectric breakdown threshold and nonlinear refraction index measurements with picosecond laser pulses," Phys. Rev. B 12, 706-714 (1975).
[CrossRef]

Bloembergen, N.

W. L. Smith, J. H. Bechtel, and N. Bloembergen, "Dielectric breakdown threshold and nonlinear refraction index measurements with picosecond laser pulses," Phys. Rev. B 12, 706-714 (1975).
[CrossRef]

Byer, R.

Chase, L. L.

R. Adair, L. L. Chase, and A. A. Payne, "Nonlinear refraction index of optical crystals," Phys. Rev. B 39, 3337-3350 (1989).
[CrossRef]

Chien, C. Y.

Clement, T. S.

N. A. Kurnit, T. Shimada, M. S. Sorem, A. J. Taylor, G. Rodriguez, T. S. Clement, H. Fearn, D. F. James, and P. W. Milonni, "Measurements and control of optical nonlinearities for glass laser fusion system" in Solid State Lasers for Application to Inertial Confinement Fusion, M. L. Andre, ed., Proc. SPIE 3047, 387-395 (1997).

Coe, J. S.

Craxton, R. S.

DeSalvo, R.

R. DeSalvo, A. A. Said, J. Hagan, E. W. van Stryland, and M. Sheik-Bahae, "Infrared to ultraviolet measurements of two-photon absorption and n2 in wide bandgap solids," IEEE J. Quantum Electron. 32, 1324-1333 (1996).
[CrossRef]

R. DeSalvo, M. Sheik-Bahae, A. A. Said, D. J. Hagan, and E. W. van Stryland, "Z-scan measurements of anisotropy of nonlinear refraction and absorption in crystals," Opt. Lett. 18, 194-196 (1993).
[CrossRef] [PubMed]

Diels, J.-C.

Dmitriev, V. G.

V. G. Dmitriev, G. G. Gurzadyan, and D. N. Nikogosyan, Handbook of Nonlinear Optical Crystals (Springer-Verlag, 1999).

Ebrahimzadeh, M.

M. Sheik-Bahae and M. Ebrahimzadeh, "Measurements of nonlinear refraction in the second order chi(2) materials KTiOPO4, KNbO3, beta-BaB2O4, and LiB5O5," Opt. Commun. 142, 294-298 (1997).
[CrossRef]

Fearn, H.

N. A. Kurnit, T. Shimada, M. S. Sorem, A. J. Taylor, G. Rodriguez, T. S. Clement, H. Fearn, D. F. James, and P. W. Milonni, "Measurements and control of optical nonlinearities for glass laser fusion system" in Solid State Lasers for Application to Inertial Confinement Fusion, M. L. Andre, ed., Proc. SPIE 3047, 387-395 (1997).

Ganeev, R. A.

R. A. Ganeev, I. A. Kulagin, A. I. Ryasnyansky, R. I. Tugushev, and T. Usmanov, "Characterization of nonlinear-optical parameters of KDP, LiNbO3 and BBO crystals", Opt. Commun. 229, 403-412 (2004).
[CrossRef]

R. A. Ganeev, S. R. Kamalov, I. A. Kulagin, A. V. Zinoviev, V. I. Redkorechev, A. I. Ryasnyanskiy, R. I. Tugushev, and T. Usmanov, "An automated set-up for investigation of nonlinear optical characteristics of various materials by the z-scan method," Instrum. Exp. Tech. 45, 810-815 (2002).
[CrossRef]

R. A. Ganeev, I. A. Kulagin, U. K. Sapaev, and T. Usmanov, "Peculiarities of self-action in second harmonic generation of laser radiation in nonlinear crystals," Opt. Spectrosc. 89, 308-311 (2000).
[CrossRef]

Gurzadyan, G. G.

V. G. Dmitriev, G. G. Gurzadyan, and D. N. Nikogosyan, Handbook of Nonlinear Optical Crystals (Springer-Verlag, 1999).

Hagan, D. J.

R. DeSalvo, M. Sheik-Bahae, A. A. Said, D. J. Hagan, and E. W. van Stryland, "Z-scan measurements of anisotropy of nonlinear refraction and absorption in crystals," Opt. Lett. 18, 194-196 (1993).
[CrossRef] [PubMed]

M. Sheik-Bahae, D. C. Hutchings, D. J. Hagan, and E. W. van Stryland, "Dispersion of bound electron nonlinear refraction in solids," IEEE J. Quantum Electron. 27, 1296-1309 (1991).
[CrossRef]

M. Sheik-Bahae, A. A. Said, T. H. Wei, D. J. Hagan, and E. W. van Stryland, "Sensitive measurements of anisotropy of nonlinear refraction and absorption in crystals," IEEE J. Quantum Electron. 26, 760-769 (1990).
[CrossRef]

Hagan, J.

R. DeSalvo, A. A. Said, J. Hagan, E. W. van Stryland, and M. Sheik-Bahae, "Infrared to ultraviolet measurements of two-photon absorption and n2 in wide bandgap solids," IEEE J. Quantum Electron. 32, 1324-1333 (1996).
[CrossRef]

Hutchings, D. C.

M. Sheik-Bahae, D. C. Hutchings, D. J. Hagan, and E. W. van Stryland, "Dispersion of bound electron nonlinear refraction in solids," IEEE J. Quantum Electron. 27, 1296-1309 (1991).
[CrossRef]

James, D. F.

N. A. Kurnit, T. Shimada, M. S. Sorem, A. J. Taylor, G. Rodriguez, T. S. Clement, H. Fearn, D. F. James, and P. W. Milonni, "Measurements and control of optical nonlinearities for glass laser fusion system" in Solid State Lasers for Application to Inertial Confinement Fusion, M. L. Andre, ed., Proc. SPIE 3047, 387-395 (1997).

Ji, W.

H. P. Li, C. H. Kam, Y. L. Lam, and W. Ji, "Femtosecond z-scan measurements of nonlinear refraction in nonlinear optical crystals," Opt. Mater. 15, 237-242 (2001).
[CrossRef]

Kam, C. H.

H. P. Li, C. H. Kam, Y. L. Lam, and W. Ji, "Femtosecond z-scan measurements of nonlinear refraction in nonlinear optical crystals," Opt. Mater. 15, 237-242 (2001).
[CrossRef]

Kamalov, S. R.

R. A. Ganeev, S. R. Kamalov, I. A. Kulagin, A. V. Zinoviev, V. I. Redkorechev, A. I. Ryasnyanskiy, R. I. Tugushev, and T. Usmanov, "An automated set-up for investigation of nonlinear optical characteristics of various materials by the z-scan method," Instrum. Exp. Tech. 45, 810-815 (2002).
[CrossRef]

Korn, G.

Kuehike, D.

Kulagin, I. A.

R. A. Ganeev, I. A. Kulagin, A. I. Ryasnyansky, R. I. Tugushev, and T. Usmanov, "Characterization of nonlinear-optical parameters of KDP, LiNbO3 and BBO crystals", Opt. Commun. 229, 403-412 (2004).
[CrossRef]

R. A. Ganeev, S. R. Kamalov, I. A. Kulagin, A. V. Zinoviev, V. I. Redkorechev, A. I. Ryasnyanskiy, R. I. Tugushev, and T. Usmanov, "An automated set-up for investigation of nonlinear optical characteristics of various materials by the z-scan method," Instrum. Exp. Tech. 45, 810-815 (2002).
[CrossRef]

R. A. Ganeev, I. A. Kulagin, U. K. Sapaev, and T. Usmanov, "Peculiarities of self-action in second harmonic generation of laser radiation in nonlinear crystals," Opt. Spectrosc. 89, 308-311 (2000).
[CrossRef]

Kurnit, N. A.

N. A. Kurnit, T. Shimada, M. S. Sorem, A. J. Taylor, G. Rodriguez, T. S. Clement, H. Fearn, D. F. James, and P. W. Milonni, "Measurements and control of optical nonlinearities for glass laser fusion system" in Solid State Lasers for Application to Inertial Confinement Fusion, M. L. Andre, ed., Proc. SPIE 3047, 387-395 (1997).

Lam, Y. L.

H. P. Li, C. H. Kam, Y. L. Lam, and W. Ji, "Femtosecond z-scan measurements of nonlinear refraction in nonlinear optical crystals," Opt. Mater. 15, 237-242 (2001).
[CrossRef]

Li, H. P.

H. P. Li, C. H. Kam, Y. L. Lam, and W. Ji, "Femtosecond z-scan measurements of nonlinear refraction in nonlinear optical crystals," Opt. Mater. 15, 237-242 (2001).
[CrossRef]

Meng, X.

Milonni, P. W.

N. A. Kurnit, T. Shimada, M. S. Sorem, A. J. Taylor, G. Rodriguez, T. S. Clement, H. Fearn, D. F. James, and P. W. Milonni, "Measurements and control of optical nonlinearities for glass laser fusion system" in Solid State Lasers for Application to Inertial Confinement Fusion, M. L. Andre, ed., Proc. SPIE 3047, 387-395 (1997).

Mourou, G.

Nikogosyan, D. N.

V. G. Dmitriev, G. G. Gurzadyan, and D. N. Nikogosyan, Handbook of Nonlinear Optical Crystals (Springer-Verlag, 1999).

Payne, A. A.

R. Adair, L. L. Chase, and A. A. Payne, "Nonlinear refraction index of optical crystals," Phys. Rev. B 39, 3337-3350 (1989).
[CrossRef]

Redkorechev, V. I.

R. A. Ganeev, S. R. Kamalov, I. A. Kulagin, A. V. Zinoviev, V. I. Redkorechev, A. I. Ryasnyanskiy, R. I. Tugushev, and T. Usmanov, "An automated set-up for investigation of nonlinear optical characteristics of various materials by the z-scan method," Instrum. Exp. Tech. 45, 810-815 (2002).
[CrossRef]

Reintjes, J. F.

J. F. Reintjes, Nonlinear Optical Parametric Processes in Liquids and Gases (Academic, 1984).

Rodriguez, G.

G. Rodriguez and A. J. Taylor, "Measurement of cross-phase modulation in optical materials through the direct measurement of optical phase change," Opt. Lett. 23, 858-860 (1998).
[CrossRef]

N. A. Kurnit, T. Shimada, M. S. Sorem, A. J. Taylor, G. Rodriguez, T. S. Clement, H. Fearn, D. F. James, and P. W. Milonni, "Measurements and control of optical nonlinearities for glass laser fusion system" in Solid State Lasers for Application to Inertial Confinement Fusion, M. L. Andre, ed., Proc. SPIE 3047, 387-395 (1997).

Ryasnyanskiy, A. I.

R. A. Ganeev, S. R. Kamalov, I. A. Kulagin, A. V. Zinoviev, V. I. Redkorechev, A. I. Ryasnyanskiy, R. I. Tugushev, and T. Usmanov, "An automated set-up for investigation of nonlinear optical characteristics of various materials by the z-scan method," Instrum. Exp. Tech. 45, 810-815 (2002).
[CrossRef]

Ryasnyansky, A. I.

R. A. Ganeev, I. A. Kulagin, A. I. Ryasnyansky, R. I. Tugushev, and T. Usmanov, "Characterization of nonlinear-optical parameters of KDP, LiNbO3 and BBO crystals", Opt. Commun. 229, 403-412 (2004).
[CrossRef]

Said, A. A.

R. DeSalvo, A. A. Said, J. Hagan, E. W. van Stryland, and M. Sheik-Bahae, "Infrared to ultraviolet measurements of two-photon absorption and n2 in wide bandgap solids," IEEE J. Quantum Electron. 32, 1324-1333 (1996).
[CrossRef]

R. DeSalvo, M. Sheik-Bahae, A. A. Said, D. J. Hagan, and E. W. van Stryland, "Z-scan measurements of anisotropy of nonlinear refraction and absorption in crystals," Opt. Lett. 18, 194-196 (1993).
[CrossRef] [PubMed]

M. Sheik-Bahae, A. A. Said, T. H. Wei, D. J. Hagan, and E. W. van Stryland, "Sensitive measurements of anisotropy of nonlinear refraction and absorption in crystals," IEEE J. Quantum Electron. 26, 760-769 (1990).
[CrossRef]

Sapaev, U. K.

R. A. Ganeev, I. A. Kulagin, U. K. Sapaev, and T. Usmanov, "Peculiarities of self-action in second harmonic generation of laser radiation in nonlinear crystals," Opt. Spectrosc. 89, 308-311 (2000).
[CrossRef]

Shaskolskaya, M. P.

Yu. I. Sirotin and M. P. Shaskolskaya, Principles of Crystal Physics (Nauka, 1979) (Osnovy Krystallofiziki, in Russian).

Sheik-Bahae, M.

M. Sheik-Bahae and M. Ebrahimzadeh, "Measurements of nonlinear refraction in the second order chi(2) materials KTiOPO4, KNbO3, beta-BaB2O4, and LiB5O5," Opt. Commun. 142, 294-298 (1997).
[CrossRef]

R. DeSalvo, A. A. Said, J. Hagan, E. W. van Stryland, and M. Sheik-Bahae, "Infrared to ultraviolet measurements of two-photon absorption and n2 in wide bandgap solids," IEEE J. Quantum Electron. 32, 1324-1333 (1996).
[CrossRef]

R. DeSalvo, M. Sheik-Bahae, A. A. Said, D. J. Hagan, and E. W. van Stryland, "Z-scan measurements of anisotropy of nonlinear refraction and absorption in crystals," Opt. Lett. 18, 194-196 (1993).
[CrossRef] [PubMed]

M. Sheik-Bahae, D. C. Hutchings, D. J. Hagan, and E. W. van Stryland, "Dispersion of bound electron nonlinear refraction in solids," IEEE J. Quantum Electron. 27, 1296-1309 (1991).
[CrossRef]

M. Sheik-Bahae, A. A. Said, T. H. Wei, D. J. Hagan, and E. W. van Stryland, "Sensitive measurements of anisotropy of nonlinear refraction and absorption in crystals," IEEE J. Quantum Electron. 26, 760-769 (1990).
[CrossRef]

Shimada, T.

N. A. Kurnit, T. Shimada, M. S. Sorem, A. J. Taylor, G. Rodriguez, T. S. Clement, H. Fearn, D. F. James, and P. W. Milonni, "Measurements and control of optical nonlinearities for glass laser fusion system" in Solid State Lasers for Application to Inertial Confinement Fusion, M. L. Andre, ed., Proc. SPIE 3047, 387-395 (1997).

Sirotin, Yu. I.

Yu. I. Sirotin and M. P. Shaskolskaya, Principles of Crystal Physics (Nauka, 1979) (Osnovy Krystallofiziki, in Russian).

Smith, W. L.

W. L. Smith, J. H. Bechtel, and N. Bloembergen, "Dielectric breakdown threshold and nonlinear refraction index measurements with picosecond laser pulses," Phys. Rev. B 12, 706-714 (1975).
[CrossRef]

Sorem, M. S.

N. A. Kurnit, T. Shimada, M. S. Sorem, A. J. Taylor, G. Rodriguez, T. S. Clement, H. Fearn, D. F. James, and P. W. Milonni, "Measurements and control of optical nonlinearities for glass laser fusion system" in Solid State Lasers for Application to Inertial Confinement Fusion, M. L. Andre, ed., Proc. SPIE 3047, 387-395 (1997).

Squier, J.

Taylor, A. J.

G. Rodriguez and A. J. Taylor, "Measurement of cross-phase modulation in optical materials through the direct measurement of optical phase change," Opt. Lett. 23, 858-860 (1998).
[CrossRef]

N. A. Kurnit, T. Shimada, M. S. Sorem, A. J. Taylor, G. Rodriguez, T. S. Clement, H. Fearn, D. F. James, and P. W. Milonni, "Measurements and control of optical nonlinearities for glass laser fusion system" in Solid State Lasers for Application to Inertial Confinement Fusion, M. L. Andre, ed., Proc. SPIE 3047, 387-395 (1997).

Tugushev, R. I.

R. A. Ganeev, I. A. Kulagin, A. I. Ryasnyansky, R. I. Tugushev, and T. Usmanov, "Characterization of nonlinear-optical parameters of KDP, LiNbO3 and BBO crystals", Opt. Commun. 229, 403-412 (2004).
[CrossRef]

R. A. Ganeev, S. R. Kamalov, I. A. Kulagin, A. V. Zinoviev, V. I. Redkorechev, A. I. Ryasnyanskiy, R. I. Tugushev, and T. Usmanov, "An automated set-up for investigation of nonlinear optical characteristics of various materials by the z-scan method," Instrum. Exp. Tech. 45, 810-815 (2002).
[CrossRef]

Usmanov, T.

R. A. Ganeev, I. A. Kulagin, A. I. Ryasnyansky, R. I. Tugushev, and T. Usmanov, "Characterization of nonlinear-optical parameters of KDP, LiNbO3 and BBO crystals", Opt. Commun. 229, 403-412 (2004).
[CrossRef]

R. A. Ganeev, S. R. Kamalov, I. A. Kulagin, A. V. Zinoviev, V. I. Redkorechev, A. I. Ryasnyanskiy, R. I. Tugushev, and T. Usmanov, "An automated set-up for investigation of nonlinear optical characteristics of various materials by the z-scan method," Instrum. Exp. Tech. 45, 810-815 (2002).
[CrossRef]

R. A. Ganeev, I. A. Kulagin, U. K. Sapaev, and T. Usmanov, "Peculiarities of self-action in second harmonic generation of laser radiation in nonlinear crystals," Opt. Spectrosc. 89, 308-311 (2000).
[CrossRef]

van Stryland, E. W.

R. DeSalvo, A. A. Said, J. Hagan, E. W. van Stryland, and M. Sheik-Bahae, "Infrared to ultraviolet measurements of two-photon absorption and n2 in wide bandgap solids," IEEE J. Quantum Electron. 32, 1324-1333 (1996).
[CrossRef]

R. DeSalvo, M. Sheik-Bahae, A. A. Said, D. J. Hagan, and E. W. van Stryland, "Z-scan measurements of anisotropy of nonlinear refraction and absorption in crystals," Opt. Lett. 18, 194-196 (1993).
[CrossRef] [PubMed]

M. Sheik-Bahae, D. C. Hutchings, D. J. Hagan, and E. W. van Stryland, "Dispersion of bound electron nonlinear refraction in solids," IEEE J. Quantum Electron. 27, 1296-1309 (1991).
[CrossRef]

M. Sheik-Bahae, A. A. Said, T. H. Wei, D. J. Hagan, and E. W. van Stryland, "Sensitive measurements of anisotropy of nonlinear refraction and absorption in crystals," IEEE J. Quantum Electron. 26, 760-769 (1990).
[CrossRef]

Wei, T. H.

M. Sheik-Bahae, A. A. Said, T. H. Wei, D. J. Hagan, and E. W. van Stryland, "Sensitive measurements of anisotropy of nonlinear refraction and absorption in crystals," IEEE J. Quantum Electron. 26, 760-769 (1990).
[CrossRef]

Zinoviev, A. V.

R. A. Ganeev, S. R. Kamalov, I. A. Kulagin, A. V. Zinoviev, V. I. Redkorechev, A. I. Ryasnyanskiy, R. I. Tugushev, and T. Usmanov, "An automated set-up for investigation of nonlinear optical characteristics of various materials by the z-scan method," Instrum. Exp. Tech. 45, 810-815 (2002).
[CrossRef]

IEEE J. Quantum Electron. (3)

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R. DeSalvo, A. A. Said, J. Hagan, E. W. van Stryland, and M. Sheik-Bahae, "Infrared to ultraviolet measurements of two-photon absorption and n2 in wide bandgap solids," IEEE J. Quantum Electron. 32, 1324-1333 (1996).
[CrossRef]

M. Sheik-Bahae, A. A. Said, T. H. Wei, D. J. Hagan, and E. W. van Stryland, "Sensitive measurements of anisotropy of nonlinear refraction and absorption in crystals," IEEE J. Quantum Electron. 26, 760-769 (1990).
[CrossRef]

Instrum. Exp. Tech. (1)

R. A. Ganeev, S. R. Kamalov, I. A. Kulagin, A. V. Zinoviev, V. I. Redkorechev, A. I. Ryasnyanskiy, R. I. Tugushev, and T. Usmanov, "An automated set-up for investigation of nonlinear optical characteristics of various materials by the z-scan method," Instrum. Exp. Tech. 45, 810-815 (2002).
[CrossRef]

Opt. Commun. (2)

R. A. Ganeev, I. A. Kulagin, A. I. Ryasnyansky, R. I. Tugushev, and T. Usmanov, "Characterization of nonlinear-optical parameters of KDP, LiNbO3 and BBO crystals", Opt. Commun. 229, 403-412 (2004).
[CrossRef]

M. Sheik-Bahae and M. Ebrahimzadeh, "Measurements of nonlinear refraction in the second order chi(2) materials KTiOPO4, KNbO3, beta-BaB2O4, and LiB5O5," Opt. Commun. 142, 294-298 (1997).
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Opt. Lett. (4)

Opt. Mater. (1)

H. P. Li, C. H. Kam, Y. L. Lam, and W. Ji, "Femtosecond z-scan measurements of nonlinear refraction in nonlinear optical crystals," Opt. Mater. 15, 237-242 (2001).
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Opt. Spectrosc. (1)

R. A. Ganeev, I. A. Kulagin, U. K. Sapaev, and T. Usmanov, "Peculiarities of self-action in second harmonic generation of laser radiation in nonlinear crystals," Opt. Spectrosc. 89, 308-311 (2000).
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[CrossRef]

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N. A. Kurnit, T. Shimada, M. S. Sorem, A. J. Taylor, G. Rodriguez, T. S. Clement, H. Fearn, D. F. James, and P. W. Milonni, "Measurements and control of optical nonlinearities for glass laser fusion system" in Solid State Lasers for Application to Inertial Confinement Fusion, M. L. Andre, ed., Proc. SPIE 3047, 387-395 (1997).

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Figures (6)

Fig. 1
Fig. 1

Experimental scheme: 1, lens; 2, sample; 3, polarization plate; 4 and 6, photodiodes; 5 and 7, digital voltmeters; 8, moving table; 9, motor; 10, controller; 11, personal computer; 12, aperture.

Fig. 2
Fig. 2

Typical z-scan dependence of the normalized transmittance versus the position of KDP ( θ = 90 ° and φ = 45 ° ).

Fig. 3
Fig. 3

Polarization dependences of the normalized transmittance of KDP ( θ = 90 ° and φ = 45 ° ) at different radiation energies ( ε o : ε + = 0.65 : 1 ) .

Fig. 4
Fig. 4

Polarization dependences of the normalized transmittance of KDP ( θ = 59 ° and φ = 0 ° ) at different radiation energies ( ε o : ε + = 0.45 : 1 ) .

Fig. 5
Fig. 5

Polarization dependences of the normalized transmittance of LiNbO 3 ( θ = 90 ° ) at different radiation energies ( ε o : ε + = 0.042 : 1 ) .

Fig. 6
Fig. 6

Angular dependences of nonlinear susceptibilities responsible for the self-action of (a) o- and (b) e-polarized components and for (c) the cross action of these components.

Tables (1)

Tables Icon

Table 1 Comparison of Nonlinear Optical Parameters of KDP, DKDP, and LiNbO 3 at λ = 1064 nm a

Equations (13)

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P i ( 3 ) ( ω ) = 3 4 χ i j k l ( 3 ) ( ω = ω + ω + ω ) E j * E k E l .
E i z + β i E i x i 2 k i Δ E i = i j , k , l γ i j k l E j * E k E l exp ( i Δ k z ) 1 2 α i E i { i , j , k , l } = { o , e } .
E i ( z , x , y , t ) = ( 1 R i ) E i 0 ( z , x , y , t ) exp { α i L 2 i [ γ i i i i L i eff I i ( z , x , y , t ) + γ i j i j exp ( α j z ) I j ( z , x + β z , y , t ) d z ] } .
T ( z ) = x 1 x 2 y 1 y 2 { E o r ( z , x , y , t ) 2 cos 2 ψ + E e r ( z , x , y , t ) 2 sin 2 ψ } d x d y d t x 1 x 2 y 1 y 2 E 0 r ( z , x , y , t ) 2 d x d y d t .
χ o o o o ( 3 ) = χ 11 1 2 ( χ 11 3 χ 12 ) sin 2 2 φ ,
χ o e o e ( 3 ) = χ e o e o ( 3 ) = 1 2 ( χ 11 3 χ 12 ) sin 2 2 φ cos 2 θ + χ 12 cos 2 θ + χ 23 sin 2 θ ,
χ e e e e ( 3 ) = χ o o o o ( 3 ) cos 4 θ + 3 2 χ 23 sin 2 2 θ + χ 33 sin 4 θ .
χ o o o o ( 3 ) = 3 χ 12 ,
χ o e o e ( 3 ) = χ e o e o ( 3 ) = χ 12 cos 2 θ + χ 14 sin 3 φ sin 2 θ + χ 23 sin 2 θ ,
χ e e e e ( 3 ) = 3 χ 12 cos 4 θ 4 χ 14 sin 3 φ sin θ cos 3 θ + 3 2 χ 23 sin 2 2 θ + χ 33 sin 4 θ .
T v ( ψ ) = C ( ψ ) + μ ρ 2 S ( ψ ) Γ [ χ o o o o ( 3 ) C 2 ( ψ ) + 2 ( l + μ ) ρ χ o e o e ( 3 ) C ( ψ ) S ( ψ ) + l μ ρ 2 χ e e e e ( 3 ) S 2 ( ψ ) ] .
χ ( 3 ) = 1 4 ( χ 11 3 χ 12 ) sin 4 φ .
n = n 0 + n 2 E 2 2 = n 0 + γ I

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