Abstract

The principal refractive indices and thermal refractive index coefficients for the LiNbO3 crystal doped with 5 mol. % Mg and 0.2 mol. % Ti have been measured by the minimum deviation method at the wavelengths 539.8, 632.8, 1079.5, and 1341.4 nm in the temperature range 15–150 °C. The constants of Sellmeier’s equation are given in this temperature range. On the basis of the measured results, the thermal refractive index coefficients at these wavelengths have also been obtained. The obtained results were used in the calculation of the type I critical phase-matching angles for 1064- and 1079.5-nm second-harmonic generation (SHG) at room temperature and of the noncritical phase-matching temperature for the 1079.5-nm SHG for the Ti:Mg:LiNbO3 crystal. The calculated and experimental results are in excellent agreement.

© 1993 Optical Society of America

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References

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  1. J. G. Zhang, G. F. Xu, T. F. Wang, C. Y. Zhang, Y. C. Lu, C. Q. Lu, J. R. Chen, “The growth and frequency doubling characters of heavily doped Mg:LiNbO3crystal,” Acta Phys. Sin. 32, 795 (1983).
  2. J. K. Wen, J. C. Deng, Y. P. Zhu, H. F. Wang, Z. Chen, “Effect of Ti on the physical properties of LiNbO3:MgO crystal,” J. Synth. Cryst. 20, 395 (1991).
  3. G. F. Xu, Y. F. Gao, J. R. Chen, B. Li, X. Wang, J. G. Zhu, R. N. Li, “Ti:Mg:LiNbO3crystal of antiphotorefractive,” J. Synth. Cryst. 20, 396 (1991).
  4. Z. D. Zeng, H. Y. Shen, M. L. Huang, H. Xu, R. R. Zeng, Y. P. Zhou, G. F. Yu, C. H. Huang, “Measurement of the refractive index and thermal refractive index coefficients of Nd:YAP crystal,” Appl. Opt. 29, 1281 (1990).
    [CrossRef] [PubMed]
  5. H. Liao, H. Y. Shen, Z. D. Zeng, T. Q. Lian, Y. P. Zhou, C. H. Huang, R. R. Zeng, G. F. Yu, “Accurate values for the index of refraction and the optimum phase match parameters in a flux grown KTiOPO4crystal,” Opt. Laser Technol. 20, 103 (1988).
    [CrossRef]
  6. H. Y. Shen, Y. P. Zhou, W. X. Lin, Z. D. Zeng, R. R. Zeng, G. F. Yu, C. H. Huang, A. D. Jiang, S. Q. Jia, D. Z. Shen, “Second harmonic generation and sum frequency mixing of dual wavelength Nd:YALO3laser in flux growth KTiOPO4crystal,” IEEE J. Quantum Electron. 28, 48 (1992).
    [CrossRef]
  7. W. L. Bond, “Measurement of the refractive indices of several crystals,” J. Appl. Phys. 36, 1674 (1965).
    [CrossRef]

1992 (1)

H. Y. Shen, Y. P. Zhou, W. X. Lin, Z. D. Zeng, R. R. Zeng, G. F. Yu, C. H. Huang, A. D. Jiang, S. Q. Jia, D. Z. Shen, “Second harmonic generation and sum frequency mixing of dual wavelength Nd:YALO3laser in flux growth KTiOPO4crystal,” IEEE J. Quantum Electron. 28, 48 (1992).
[CrossRef]

1991 (2)

J. K. Wen, J. C. Deng, Y. P. Zhu, H. F. Wang, Z. Chen, “Effect of Ti on the physical properties of LiNbO3:MgO crystal,” J. Synth. Cryst. 20, 395 (1991).

G. F. Xu, Y. F. Gao, J. R. Chen, B. Li, X. Wang, J. G. Zhu, R. N. Li, “Ti:Mg:LiNbO3crystal of antiphotorefractive,” J. Synth. Cryst. 20, 396 (1991).

1990 (1)

1988 (1)

H. Liao, H. Y. Shen, Z. D. Zeng, T. Q. Lian, Y. P. Zhou, C. H. Huang, R. R. Zeng, G. F. Yu, “Accurate values for the index of refraction and the optimum phase match parameters in a flux grown KTiOPO4crystal,” Opt. Laser Technol. 20, 103 (1988).
[CrossRef]

1983 (1)

J. G. Zhang, G. F. Xu, T. F. Wang, C. Y. Zhang, Y. C. Lu, C. Q. Lu, J. R. Chen, “The growth and frequency doubling characters of heavily doped Mg:LiNbO3crystal,” Acta Phys. Sin. 32, 795 (1983).

1965 (1)

W. L. Bond, “Measurement of the refractive indices of several crystals,” J. Appl. Phys. 36, 1674 (1965).
[CrossRef]

Bond, W. L.

W. L. Bond, “Measurement of the refractive indices of several crystals,” J. Appl. Phys. 36, 1674 (1965).
[CrossRef]

Chen, J. R.

G. F. Xu, Y. F. Gao, J. R. Chen, B. Li, X. Wang, J. G. Zhu, R. N. Li, “Ti:Mg:LiNbO3crystal of antiphotorefractive,” J. Synth. Cryst. 20, 396 (1991).

J. G. Zhang, G. F. Xu, T. F. Wang, C. Y. Zhang, Y. C. Lu, C. Q. Lu, J. R. Chen, “The growth and frequency doubling characters of heavily doped Mg:LiNbO3crystal,” Acta Phys. Sin. 32, 795 (1983).

Chen, Z.

J. K. Wen, J. C. Deng, Y. P. Zhu, H. F. Wang, Z. Chen, “Effect of Ti on the physical properties of LiNbO3:MgO crystal,” J. Synth. Cryst. 20, 395 (1991).

Deng, J. C.

J. K. Wen, J. C. Deng, Y. P. Zhu, H. F. Wang, Z. Chen, “Effect of Ti on the physical properties of LiNbO3:MgO crystal,” J. Synth. Cryst. 20, 395 (1991).

Gao, Y. F.

G. F. Xu, Y. F. Gao, J. R. Chen, B. Li, X. Wang, J. G. Zhu, R. N. Li, “Ti:Mg:LiNbO3crystal of antiphotorefractive,” J. Synth. Cryst. 20, 396 (1991).

Huang, C. H.

H. Y. Shen, Y. P. Zhou, W. X. Lin, Z. D. Zeng, R. R. Zeng, G. F. Yu, C. H. Huang, A. D. Jiang, S. Q. Jia, D. Z. Shen, “Second harmonic generation and sum frequency mixing of dual wavelength Nd:YALO3laser in flux growth KTiOPO4crystal,” IEEE J. Quantum Electron. 28, 48 (1992).
[CrossRef]

Z. D. Zeng, H. Y. Shen, M. L. Huang, H. Xu, R. R. Zeng, Y. P. Zhou, G. F. Yu, C. H. Huang, “Measurement of the refractive index and thermal refractive index coefficients of Nd:YAP crystal,” Appl. Opt. 29, 1281 (1990).
[CrossRef] [PubMed]

H. Liao, H. Y. Shen, Z. D. Zeng, T. Q. Lian, Y. P. Zhou, C. H. Huang, R. R. Zeng, G. F. Yu, “Accurate values for the index of refraction and the optimum phase match parameters in a flux grown KTiOPO4crystal,” Opt. Laser Technol. 20, 103 (1988).
[CrossRef]

Huang, M. L.

Jia, S. Q.

H. Y. Shen, Y. P. Zhou, W. X. Lin, Z. D. Zeng, R. R. Zeng, G. F. Yu, C. H. Huang, A. D. Jiang, S. Q. Jia, D. Z. Shen, “Second harmonic generation and sum frequency mixing of dual wavelength Nd:YALO3laser in flux growth KTiOPO4crystal,” IEEE J. Quantum Electron. 28, 48 (1992).
[CrossRef]

Jiang, A. D.

H. Y. Shen, Y. P. Zhou, W. X. Lin, Z. D. Zeng, R. R. Zeng, G. F. Yu, C. H. Huang, A. D. Jiang, S. Q. Jia, D. Z. Shen, “Second harmonic generation and sum frequency mixing of dual wavelength Nd:YALO3laser in flux growth KTiOPO4crystal,” IEEE J. Quantum Electron. 28, 48 (1992).
[CrossRef]

Li, B.

G. F. Xu, Y. F. Gao, J. R. Chen, B. Li, X. Wang, J. G. Zhu, R. N. Li, “Ti:Mg:LiNbO3crystal of antiphotorefractive,” J. Synth. Cryst. 20, 396 (1991).

Li, R. N.

G. F. Xu, Y. F. Gao, J. R. Chen, B. Li, X. Wang, J. G. Zhu, R. N. Li, “Ti:Mg:LiNbO3crystal of antiphotorefractive,” J. Synth. Cryst. 20, 396 (1991).

Lian, T. Q.

H. Liao, H. Y. Shen, Z. D. Zeng, T. Q. Lian, Y. P. Zhou, C. H. Huang, R. R. Zeng, G. F. Yu, “Accurate values for the index of refraction and the optimum phase match parameters in a flux grown KTiOPO4crystal,” Opt. Laser Technol. 20, 103 (1988).
[CrossRef]

Liao, H.

H. Liao, H. Y. Shen, Z. D. Zeng, T. Q. Lian, Y. P. Zhou, C. H. Huang, R. R. Zeng, G. F. Yu, “Accurate values for the index of refraction and the optimum phase match parameters in a flux grown KTiOPO4crystal,” Opt. Laser Technol. 20, 103 (1988).
[CrossRef]

Lin, W. X.

H. Y. Shen, Y. P. Zhou, W. X. Lin, Z. D. Zeng, R. R. Zeng, G. F. Yu, C. H. Huang, A. D. Jiang, S. Q. Jia, D. Z. Shen, “Second harmonic generation and sum frequency mixing of dual wavelength Nd:YALO3laser in flux growth KTiOPO4crystal,” IEEE J. Quantum Electron. 28, 48 (1992).
[CrossRef]

Lu, C. Q.

J. G. Zhang, G. F. Xu, T. F. Wang, C. Y. Zhang, Y. C. Lu, C. Q. Lu, J. R. Chen, “The growth and frequency doubling characters of heavily doped Mg:LiNbO3crystal,” Acta Phys. Sin. 32, 795 (1983).

Lu, Y. C.

J. G. Zhang, G. F. Xu, T. F. Wang, C. Y. Zhang, Y. C. Lu, C. Q. Lu, J. R. Chen, “The growth and frequency doubling characters of heavily doped Mg:LiNbO3crystal,” Acta Phys. Sin. 32, 795 (1983).

Shen, D. Z.

H. Y. Shen, Y. P. Zhou, W. X. Lin, Z. D. Zeng, R. R. Zeng, G. F. Yu, C. H. Huang, A. D. Jiang, S. Q. Jia, D. Z. Shen, “Second harmonic generation and sum frequency mixing of dual wavelength Nd:YALO3laser in flux growth KTiOPO4crystal,” IEEE J. Quantum Electron. 28, 48 (1992).
[CrossRef]

Shen, H. Y.

H. Y. Shen, Y. P. Zhou, W. X. Lin, Z. D. Zeng, R. R. Zeng, G. F. Yu, C. H. Huang, A. D. Jiang, S. Q. Jia, D. Z. Shen, “Second harmonic generation and sum frequency mixing of dual wavelength Nd:YALO3laser in flux growth KTiOPO4crystal,” IEEE J. Quantum Electron. 28, 48 (1992).
[CrossRef]

Z. D. Zeng, H. Y. Shen, M. L. Huang, H. Xu, R. R. Zeng, Y. P. Zhou, G. F. Yu, C. H. Huang, “Measurement of the refractive index and thermal refractive index coefficients of Nd:YAP crystal,” Appl. Opt. 29, 1281 (1990).
[CrossRef] [PubMed]

H. Liao, H. Y. Shen, Z. D. Zeng, T. Q. Lian, Y. P. Zhou, C. H. Huang, R. R. Zeng, G. F. Yu, “Accurate values for the index of refraction and the optimum phase match parameters in a flux grown KTiOPO4crystal,” Opt. Laser Technol. 20, 103 (1988).
[CrossRef]

Wang, H. F.

J. K. Wen, J. C. Deng, Y. P. Zhu, H. F. Wang, Z. Chen, “Effect of Ti on the physical properties of LiNbO3:MgO crystal,” J. Synth. Cryst. 20, 395 (1991).

Wang, T. F.

J. G. Zhang, G. F. Xu, T. F. Wang, C. Y. Zhang, Y. C. Lu, C. Q. Lu, J. R. Chen, “The growth and frequency doubling characters of heavily doped Mg:LiNbO3crystal,” Acta Phys. Sin. 32, 795 (1983).

Wang, X.

G. F. Xu, Y. F. Gao, J. R. Chen, B. Li, X. Wang, J. G. Zhu, R. N. Li, “Ti:Mg:LiNbO3crystal of antiphotorefractive,” J. Synth. Cryst. 20, 396 (1991).

Wen, J. K.

J. K. Wen, J. C. Deng, Y. P. Zhu, H. F. Wang, Z. Chen, “Effect of Ti on the physical properties of LiNbO3:MgO crystal,” J. Synth. Cryst. 20, 395 (1991).

Xu, G. F.

G. F. Xu, Y. F. Gao, J. R. Chen, B. Li, X. Wang, J. G. Zhu, R. N. Li, “Ti:Mg:LiNbO3crystal of antiphotorefractive,” J. Synth. Cryst. 20, 396 (1991).

J. G. Zhang, G. F. Xu, T. F. Wang, C. Y. Zhang, Y. C. Lu, C. Q. Lu, J. R. Chen, “The growth and frequency doubling characters of heavily doped Mg:LiNbO3crystal,” Acta Phys. Sin. 32, 795 (1983).

Xu, H.

Yu, G. F.

H. Y. Shen, Y. P. Zhou, W. X. Lin, Z. D. Zeng, R. R. Zeng, G. F. Yu, C. H. Huang, A. D. Jiang, S. Q. Jia, D. Z. Shen, “Second harmonic generation and sum frequency mixing of dual wavelength Nd:YALO3laser in flux growth KTiOPO4crystal,” IEEE J. Quantum Electron. 28, 48 (1992).
[CrossRef]

Z. D. Zeng, H. Y. Shen, M. L. Huang, H. Xu, R. R. Zeng, Y. P. Zhou, G. F. Yu, C. H. Huang, “Measurement of the refractive index and thermal refractive index coefficients of Nd:YAP crystal,” Appl. Opt. 29, 1281 (1990).
[CrossRef] [PubMed]

H. Liao, H. Y. Shen, Z. D. Zeng, T. Q. Lian, Y. P. Zhou, C. H. Huang, R. R. Zeng, G. F. Yu, “Accurate values for the index of refraction and the optimum phase match parameters in a flux grown KTiOPO4crystal,” Opt. Laser Technol. 20, 103 (1988).
[CrossRef]

Zeng, R. R.

H. Y. Shen, Y. P. Zhou, W. X. Lin, Z. D. Zeng, R. R. Zeng, G. F. Yu, C. H. Huang, A. D. Jiang, S. Q. Jia, D. Z. Shen, “Second harmonic generation and sum frequency mixing of dual wavelength Nd:YALO3laser in flux growth KTiOPO4crystal,” IEEE J. Quantum Electron. 28, 48 (1992).
[CrossRef]

Z. D. Zeng, H. Y. Shen, M. L. Huang, H. Xu, R. R. Zeng, Y. P. Zhou, G. F. Yu, C. H. Huang, “Measurement of the refractive index and thermal refractive index coefficients of Nd:YAP crystal,” Appl. Opt. 29, 1281 (1990).
[CrossRef] [PubMed]

H. Liao, H. Y. Shen, Z. D. Zeng, T. Q. Lian, Y. P. Zhou, C. H. Huang, R. R. Zeng, G. F. Yu, “Accurate values for the index of refraction and the optimum phase match parameters in a flux grown KTiOPO4crystal,” Opt. Laser Technol. 20, 103 (1988).
[CrossRef]

Zeng, Z. D.

H. Y. Shen, Y. P. Zhou, W. X. Lin, Z. D. Zeng, R. R. Zeng, G. F. Yu, C. H. Huang, A. D. Jiang, S. Q. Jia, D. Z. Shen, “Second harmonic generation and sum frequency mixing of dual wavelength Nd:YALO3laser in flux growth KTiOPO4crystal,” IEEE J. Quantum Electron. 28, 48 (1992).
[CrossRef]

Z. D. Zeng, H. Y. Shen, M. L. Huang, H. Xu, R. R. Zeng, Y. P. Zhou, G. F. Yu, C. H. Huang, “Measurement of the refractive index and thermal refractive index coefficients of Nd:YAP crystal,” Appl. Opt. 29, 1281 (1990).
[CrossRef] [PubMed]

H. Liao, H. Y. Shen, Z. D. Zeng, T. Q. Lian, Y. P. Zhou, C. H. Huang, R. R. Zeng, G. F. Yu, “Accurate values for the index of refraction and the optimum phase match parameters in a flux grown KTiOPO4crystal,” Opt. Laser Technol. 20, 103 (1988).
[CrossRef]

Zhang, C. Y.

J. G. Zhang, G. F. Xu, T. F. Wang, C. Y. Zhang, Y. C. Lu, C. Q. Lu, J. R. Chen, “The growth and frequency doubling characters of heavily doped Mg:LiNbO3crystal,” Acta Phys. Sin. 32, 795 (1983).

Zhang, J. G.

J. G. Zhang, G. F. Xu, T. F. Wang, C. Y. Zhang, Y. C. Lu, C. Q. Lu, J. R. Chen, “The growth and frequency doubling characters of heavily doped Mg:LiNbO3crystal,” Acta Phys. Sin. 32, 795 (1983).

Zhou, Y. P.

H. Y. Shen, Y. P. Zhou, W. X. Lin, Z. D. Zeng, R. R. Zeng, G. F. Yu, C. H. Huang, A. D. Jiang, S. Q. Jia, D. Z. Shen, “Second harmonic generation and sum frequency mixing of dual wavelength Nd:YALO3laser in flux growth KTiOPO4crystal,” IEEE J. Quantum Electron. 28, 48 (1992).
[CrossRef]

Z. D. Zeng, H. Y. Shen, M. L. Huang, H. Xu, R. R. Zeng, Y. P. Zhou, G. F. Yu, C. H. Huang, “Measurement of the refractive index and thermal refractive index coefficients of Nd:YAP crystal,” Appl. Opt. 29, 1281 (1990).
[CrossRef] [PubMed]

H. Liao, H. Y. Shen, Z. D. Zeng, T. Q. Lian, Y. P. Zhou, C. H. Huang, R. R. Zeng, G. F. Yu, “Accurate values for the index of refraction and the optimum phase match parameters in a flux grown KTiOPO4crystal,” Opt. Laser Technol. 20, 103 (1988).
[CrossRef]

Zhu, J. G.

G. F. Xu, Y. F. Gao, J. R. Chen, B. Li, X. Wang, J. G. Zhu, R. N. Li, “Ti:Mg:LiNbO3crystal of antiphotorefractive,” J. Synth. Cryst. 20, 396 (1991).

Zhu, Y. P.

J. K. Wen, J. C. Deng, Y. P. Zhu, H. F. Wang, Z. Chen, “Effect of Ti on the physical properties of LiNbO3:MgO crystal,” J. Synth. Cryst. 20, 395 (1991).

Acta Phys. Sin. (1)

J. G. Zhang, G. F. Xu, T. F. Wang, C. Y. Zhang, Y. C. Lu, C. Q. Lu, J. R. Chen, “The growth and frequency doubling characters of heavily doped Mg:LiNbO3crystal,” Acta Phys. Sin. 32, 795 (1983).

Appl. Opt. (1)

IEEE J. Quantum Electron. (1)

H. Y. Shen, Y. P. Zhou, W. X. Lin, Z. D. Zeng, R. R. Zeng, G. F. Yu, C. H. Huang, A. D. Jiang, S. Q. Jia, D. Z. Shen, “Second harmonic generation and sum frequency mixing of dual wavelength Nd:YALO3laser in flux growth KTiOPO4crystal,” IEEE J. Quantum Electron. 28, 48 (1992).
[CrossRef]

J. Appl. Phys. (1)

W. L. Bond, “Measurement of the refractive indices of several crystals,” J. Appl. Phys. 36, 1674 (1965).
[CrossRef]

J. Synth. Cryst. (2)

J. K. Wen, J. C. Deng, Y. P. Zhu, H. F. Wang, Z. Chen, “Effect of Ti on the physical properties of LiNbO3:MgO crystal,” J. Synth. Cryst. 20, 395 (1991).

G. F. Xu, Y. F. Gao, J. R. Chen, B. Li, X. Wang, J. G. Zhu, R. N. Li, “Ti:Mg:LiNbO3crystal of antiphotorefractive,” J. Synth. Cryst. 20, 396 (1991).

Opt. Laser Technol. (1)

H. Liao, H. Y. Shen, Z. D. Zeng, T. Q. Lian, Y. P. Zhou, C. H. Huang, R. R. Zeng, G. F. Yu, “Accurate values for the index of refraction and the optimum phase match parameters in a flux grown KTiOPO4crystal,” Opt. Laser Technol. 20, 103 (1988).
[CrossRef]

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Tables (5)

Tables Icon

Table 1 Principal Refractive Indices of the LN Crystal Doped with 5 mol.% Mg and 0.2 mol.% Ti

Tables Icon

Table 2 Thermal Refractive Index Coefficients of the LN Crystal Doped with 5 mol. % Mg and 0.2 mol. % Ti

Tables Icon

Table 3 Constants of Sellmeier Equation in the Temperature Range 15–150 °C

Tables Icon

Table 4 Calculated and Experimental Values for the Critical Phase-Matching Angles of the Ti:Mg:LN Crystal for the 1064- and 1079.5-nm Fundamental Radiations

Tables Icon

Table 5 Calculated and Experimental Values for the Noncritical Phase-Matching Temperature of the Ti:Mg:LN Crystal for the 1079.5-nm Fundamental Radiation

Equations (7)

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

n i 2 = A i + B i / ( λ 2 - C i ) - D i λ 2             ( i = o , e )
δ n a = n [ ( δ α tan α ) 2 + ( δ β tan β ) 2 ] 1 / 2 1 206265 ,
δ n e = ( cos θ ) 2 n e 3 / n o 2 ,
δ n T = ( d n / d T ) T .
δ n = [ ( 0.85 ) 2 + ( 1.28 ) 2 + ( 0.0002 ) 2 + ( 0.1 ) 2 + ( 0.695 ) 2 ] 1 / 2 × 10 - 4 = 1.69 × 10 - 4 .
sin θ m = n e ( 2 w ) n o ( w ) [ n o 2 ( 2 w ) - n o 2 ( w ) n o 2 ( 2 w ) - n e 2 ( 2 w ) ] 1 / 2 .
T = n o ( w ) - n e ( 2 w ) ( d n e / d T ) 2 w - ( d n o / d T ) w .

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