Abstract

Reflectance of lithium triborate crystal in the 6–12-eV region is measured with synchrotron radiation, and the principal values of optical constants are derived. Six absorption peaks are found in both X- and Y-polarized spectra. Among them the five transitions of the Y-polarized peaks and three of the X-polarized peaks are identified. The measurement suggests that the energy of the lowest conducting band 4A2 is 7.3 eV rather than 7.57 eV, as previously reported.

© 1998 Optical Society of America

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  1. C. Chen, Y. Wu, Y. Wu, A. Jiang, B. Wu, G. Yau, R. Li, and S. Lin, J. Opt. Soc. Am. B 6, 616 (1989).
    [CrossRef]
  2. D. N. Nikogosyan, Appl. Phys. B 58, 181 (1994).
    [CrossRef]
  3. T. J. Chen, R. N. Zitter, R. Tao, J. Rife, and W. Hunter, Phys. Rev. B 52, 13703 (1995).
    [CrossRef]
  4. Y. N. Xu and W. Y. Ching, Phys. Rev. B 41, 5471 (1990).
    [CrossRef]
  5. K. Wu and C. Chen, Appl. Phys. A 54, 209 (1992).
    [CrossRef]
  6. R. French, J. Ling, F. Ohuchi, and C. Chen, Phys. Rev. B 44, 8496 (1991).
    [CrossRef]
  7. V. Ivanov, A. Kuznetsov, I. Ogorodnikov, V. Pustovarov, and A. Kruzhalov, Nucl. Instrum. Methods Phys. Res. A 359, 339 (1995).
    [CrossRef]
  8. Y. Wang, Y. Jiang, Y. Liu, F. Cai, and L. Zheng, Appl. Phys. Lett. 67, 23 (1995).
  9. V. Dmitriev and D. Nikogosyan, Opt. Commun. 95, 173 (1993).
    [CrossRef]
  10. B. Wu, F. Xie, and C. Chen, Opt. Commun. 88, 451 (1992).
    [CrossRef]
  11. A. Nobel and R. Beigang, Opt. Lett. 16, 7129 (1991).
  12. A. Borswlzky, R. Brunger, and R. Wallenstein, Appl. Phys. B 52, 380 (1991).
    [CrossRef]
  13. T. J. Chen, R. N. Zitter, and R. Tao, Phys. Rev. A 51, 706 (1995).
    [CrossRef] [PubMed]
  14. S. Almogy and A. Yariv, Opt. Lett. 19, 1828 (1994).
    [CrossRef]
  15. S. Lin, Z. Sun, B. Wu, and C. Chen, J. Appl. Phys. 67, 634 (1990).
    [CrossRef]
  16. S. Radeiv, E. Genkina, V. Lomonov, B. Maksimov, Y. Pisarevskii, M. Chelokov, and V. Simonov, Sov. Phys. Crystallogr. 36, 803 (1991).
  17. V. Konig and R. Hoppe, Z. Anorg. Allg. Chem. 439, 71 (1978).
    [CrossRef]
  18. D. Roberts and T. Meeker, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39, 165 (1992).
    [CrossRef]
  19. W. Hunter, Appl. Opt. 21, 2103 (1982).
    [CrossRef] [PubMed]
  20. W. Hunter, R. Williams, J. Rife, J. Kirkland, and M. Kabler, Nucl. Instrum. Methods 195, 141 (1982).
    [CrossRef]
  21. M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1980), pp. 48 and 616.
  22. K. Kato, IEEE J. Quantum Electron. 26, 1173 (1990).
    [CrossRef]
  23. J. J. Sakurai, Modern Quantum Mechanics (Addison-Wesley, New York, 1985).

1995 (4)

T. J. Chen, R. N. Zitter, R. Tao, J. Rife, and W. Hunter, Phys. Rev. B 52, 13703 (1995).
[CrossRef]

V. Ivanov, A. Kuznetsov, I. Ogorodnikov, V. Pustovarov, and A. Kruzhalov, Nucl. Instrum. Methods Phys. Res. A 359, 339 (1995).
[CrossRef]

Y. Wang, Y. Jiang, Y. Liu, F. Cai, and L. Zheng, Appl. Phys. Lett. 67, 23 (1995).

T. J. Chen, R. N. Zitter, and R. Tao, Phys. Rev. A 51, 706 (1995).
[CrossRef] [PubMed]

1994 (2)

1993 (1)

V. Dmitriev and D. Nikogosyan, Opt. Commun. 95, 173 (1993).
[CrossRef]

1992 (3)

B. Wu, F. Xie, and C. Chen, Opt. Commun. 88, 451 (1992).
[CrossRef]

K. Wu and C. Chen, Appl. Phys. A 54, 209 (1992).
[CrossRef]

D. Roberts and T. Meeker, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39, 165 (1992).
[CrossRef]

1991 (4)

S. Radeiv, E. Genkina, V. Lomonov, B. Maksimov, Y. Pisarevskii, M. Chelokov, and V. Simonov, Sov. Phys. Crystallogr. 36, 803 (1991).

R. French, J. Ling, F. Ohuchi, and C. Chen, Phys. Rev. B 44, 8496 (1991).
[CrossRef]

A. Nobel and R. Beigang, Opt. Lett. 16, 7129 (1991).

A. Borswlzky, R. Brunger, and R. Wallenstein, Appl. Phys. B 52, 380 (1991).
[CrossRef]

1990 (3)

Y. N. Xu and W. Y. Ching, Phys. Rev. B 41, 5471 (1990).
[CrossRef]

S. Lin, Z. Sun, B. Wu, and C. Chen, J. Appl. Phys. 67, 634 (1990).
[CrossRef]

K. Kato, IEEE J. Quantum Electron. 26, 1173 (1990).
[CrossRef]

1989 (1)

1982 (2)

W. Hunter, R. Williams, J. Rife, J. Kirkland, and M. Kabler, Nucl. Instrum. Methods 195, 141 (1982).
[CrossRef]

W. Hunter, Appl. Opt. 21, 2103 (1982).
[CrossRef] [PubMed]

1978 (1)

V. Konig and R. Hoppe, Z. Anorg. Allg. Chem. 439, 71 (1978).
[CrossRef]

Almogy, S.

Beigang, R.

A. Nobel and R. Beigang, Opt. Lett. 16, 7129 (1991).

Borswlzky, A.

A. Borswlzky, R. Brunger, and R. Wallenstein, Appl. Phys. B 52, 380 (1991).
[CrossRef]

Brunger, R.

A. Borswlzky, R. Brunger, and R. Wallenstein, Appl. Phys. B 52, 380 (1991).
[CrossRef]

Cai, F.

Y. Wang, Y. Jiang, Y. Liu, F. Cai, and L. Zheng, Appl. Phys. Lett. 67, 23 (1995).

Chelokov, M.

S. Radeiv, E. Genkina, V. Lomonov, B. Maksimov, Y. Pisarevskii, M. Chelokov, and V. Simonov, Sov. Phys. Crystallogr. 36, 803 (1991).

Chen, C.

B. Wu, F. Xie, and C. Chen, Opt. Commun. 88, 451 (1992).
[CrossRef]

K. Wu and C. Chen, Appl. Phys. A 54, 209 (1992).
[CrossRef]

R. French, J. Ling, F. Ohuchi, and C. Chen, Phys. Rev. B 44, 8496 (1991).
[CrossRef]

S. Lin, Z. Sun, B. Wu, and C. Chen, J. Appl. Phys. 67, 634 (1990).
[CrossRef]

C. Chen, Y. Wu, Y. Wu, A. Jiang, B. Wu, G. Yau, R. Li, and S. Lin, J. Opt. Soc. Am. B 6, 616 (1989).
[CrossRef]

Chen, T. J.

T. J. Chen, R. N. Zitter, and R. Tao, Phys. Rev. A 51, 706 (1995).
[CrossRef] [PubMed]

T. J. Chen, R. N. Zitter, R. Tao, J. Rife, and W. Hunter, Phys. Rev. B 52, 13703 (1995).
[CrossRef]

Ching, W. Y.

Y. N. Xu and W. Y. Ching, Phys. Rev. B 41, 5471 (1990).
[CrossRef]

Dmitriev, V.

V. Dmitriev and D. Nikogosyan, Opt. Commun. 95, 173 (1993).
[CrossRef]

French, R.

R. French, J. Ling, F. Ohuchi, and C. Chen, Phys. Rev. B 44, 8496 (1991).
[CrossRef]

Genkina, E.

S. Radeiv, E. Genkina, V. Lomonov, B. Maksimov, Y. Pisarevskii, M. Chelokov, and V. Simonov, Sov. Phys. Crystallogr. 36, 803 (1991).

Hoppe, R.

V. Konig and R. Hoppe, Z. Anorg. Allg. Chem. 439, 71 (1978).
[CrossRef]

Hunter, W.

T. J. Chen, R. N. Zitter, R. Tao, J. Rife, and W. Hunter, Phys. Rev. B 52, 13703 (1995).
[CrossRef]

W. Hunter, R. Williams, J. Rife, J. Kirkland, and M. Kabler, Nucl. Instrum. Methods 195, 141 (1982).
[CrossRef]

W. Hunter, Appl. Opt. 21, 2103 (1982).
[CrossRef] [PubMed]

Ivanov, V.

V. Ivanov, A. Kuznetsov, I. Ogorodnikov, V. Pustovarov, and A. Kruzhalov, Nucl. Instrum. Methods Phys. Res. A 359, 339 (1995).
[CrossRef]

Jiang, A.

Jiang, Y.

Y. Wang, Y. Jiang, Y. Liu, F. Cai, and L. Zheng, Appl. Phys. Lett. 67, 23 (1995).

Kabler, M.

W. Hunter, R. Williams, J. Rife, J. Kirkland, and M. Kabler, Nucl. Instrum. Methods 195, 141 (1982).
[CrossRef]

Kato, K.

K. Kato, IEEE J. Quantum Electron. 26, 1173 (1990).
[CrossRef]

Kirkland, J.

W. Hunter, R. Williams, J. Rife, J. Kirkland, and M. Kabler, Nucl. Instrum. Methods 195, 141 (1982).
[CrossRef]

Konig, V.

V. Konig and R. Hoppe, Z. Anorg. Allg. Chem. 439, 71 (1978).
[CrossRef]

Kruzhalov, A.

V. Ivanov, A. Kuznetsov, I. Ogorodnikov, V. Pustovarov, and A. Kruzhalov, Nucl. Instrum. Methods Phys. Res. A 359, 339 (1995).
[CrossRef]

Kuznetsov, A.

V. Ivanov, A. Kuznetsov, I. Ogorodnikov, V. Pustovarov, and A. Kruzhalov, Nucl. Instrum. Methods Phys. Res. A 359, 339 (1995).
[CrossRef]

Li, R.

Lin, S.

Ling, J.

R. French, J. Ling, F. Ohuchi, and C. Chen, Phys. Rev. B 44, 8496 (1991).
[CrossRef]

Liu, Y.

Y. Wang, Y. Jiang, Y. Liu, F. Cai, and L. Zheng, Appl. Phys. Lett. 67, 23 (1995).

Lomonov, V.

S. Radeiv, E. Genkina, V. Lomonov, B. Maksimov, Y. Pisarevskii, M. Chelokov, and V. Simonov, Sov. Phys. Crystallogr. 36, 803 (1991).

Maksimov, B.

S. Radeiv, E. Genkina, V. Lomonov, B. Maksimov, Y. Pisarevskii, M. Chelokov, and V. Simonov, Sov. Phys. Crystallogr. 36, 803 (1991).

Meeker, T.

D. Roberts and T. Meeker, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39, 165 (1992).
[CrossRef]

Nikogosyan, D.

V. Dmitriev and D. Nikogosyan, Opt. Commun. 95, 173 (1993).
[CrossRef]

Nikogosyan, D. N.

D. N. Nikogosyan, Appl. Phys. B 58, 181 (1994).
[CrossRef]

Nobel, A.

A. Nobel and R. Beigang, Opt. Lett. 16, 7129 (1991).

Ogorodnikov, I.

V. Ivanov, A. Kuznetsov, I. Ogorodnikov, V. Pustovarov, and A. Kruzhalov, Nucl. Instrum. Methods Phys. Res. A 359, 339 (1995).
[CrossRef]

Ohuchi, F.

R. French, J. Ling, F. Ohuchi, and C. Chen, Phys. Rev. B 44, 8496 (1991).
[CrossRef]

Pisarevskii, Y.

S. Radeiv, E. Genkina, V. Lomonov, B. Maksimov, Y. Pisarevskii, M. Chelokov, and V. Simonov, Sov. Phys. Crystallogr. 36, 803 (1991).

Pustovarov, V.

V. Ivanov, A. Kuznetsov, I. Ogorodnikov, V. Pustovarov, and A. Kruzhalov, Nucl. Instrum. Methods Phys. Res. A 359, 339 (1995).
[CrossRef]

Radeiv, S.

S. Radeiv, E. Genkina, V. Lomonov, B. Maksimov, Y. Pisarevskii, M. Chelokov, and V. Simonov, Sov. Phys. Crystallogr. 36, 803 (1991).

Rife, J.

T. J. Chen, R. N. Zitter, R. Tao, J. Rife, and W. Hunter, Phys. Rev. B 52, 13703 (1995).
[CrossRef]

W. Hunter, R. Williams, J. Rife, J. Kirkland, and M. Kabler, Nucl. Instrum. Methods 195, 141 (1982).
[CrossRef]

Roberts, D.

D. Roberts and T. Meeker, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39, 165 (1992).
[CrossRef]

Simonov, V.

S. Radeiv, E. Genkina, V. Lomonov, B. Maksimov, Y. Pisarevskii, M. Chelokov, and V. Simonov, Sov. Phys. Crystallogr. 36, 803 (1991).

Sun, Z.

S. Lin, Z. Sun, B. Wu, and C. Chen, J. Appl. Phys. 67, 634 (1990).
[CrossRef]

Tao, R.

T. J. Chen, R. N. Zitter, and R. Tao, Phys. Rev. A 51, 706 (1995).
[CrossRef] [PubMed]

T. J. Chen, R. N. Zitter, R. Tao, J. Rife, and W. Hunter, Phys. Rev. B 52, 13703 (1995).
[CrossRef]

Wallenstein, R.

A. Borswlzky, R. Brunger, and R. Wallenstein, Appl. Phys. B 52, 380 (1991).
[CrossRef]

Wang, Y.

Y. Wang, Y. Jiang, Y. Liu, F. Cai, and L. Zheng, Appl. Phys. Lett. 67, 23 (1995).

Williams, R.

W. Hunter, R. Williams, J. Rife, J. Kirkland, and M. Kabler, Nucl. Instrum. Methods 195, 141 (1982).
[CrossRef]

Wu, B.

B. Wu, F. Xie, and C. Chen, Opt. Commun. 88, 451 (1992).
[CrossRef]

S. Lin, Z. Sun, B. Wu, and C. Chen, J. Appl. Phys. 67, 634 (1990).
[CrossRef]

C. Chen, Y. Wu, Y. Wu, A. Jiang, B. Wu, G. Yau, R. Li, and S. Lin, J. Opt. Soc. Am. B 6, 616 (1989).
[CrossRef]

Wu, K.

K. Wu and C. Chen, Appl. Phys. A 54, 209 (1992).
[CrossRef]

Wu, Y.

Xie, F.

B. Wu, F. Xie, and C. Chen, Opt. Commun. 88, 451 (1992).
[CrossRef]

Xu, Y. N.

Y. N. Xu and W. Y. Ching, Phys. Rev. B 41, 5471 (1990).
[CrossRef]

Yariv, A.

Yau, G.

Zheng, L.

Y. Wang, Y. Jiang, Y. Liu, F. Cai, and L. Zheng, Appl. Phys. Lett. 67, 23 (1995).

Zitter, R. N.

T. J. Chen, R. N. Zitter, and R. Tao, Phys. Rev. A 51, 706 (1995).
[CrossRef] [PubMed]

T. J. Chen, R. N. Zitter, R. Tao, J. Rife, and W. Hunter, Phys. Rev. B 52, 13703 (1995).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. A (1)

K. Wu and C. Chen, Appl. Phys. A 54, 209 (1992).
[CrossRef]

Appl. Phys. B (2)

D. N. Nikogosyan, Appl. Phys. B 58, 181 (1994).
[CrossRef]

A. Borswlzky, R. Brunger, and R. Wallenstein, Appl. Phys. B 52, 380 (1991).
[CrossRef]

Appl. Phys. Lett. (1)

Y. Wang, Y. Jiang, Y. Liu, F. Cai, and L. Zheng, Appl. Phys. Lett. 67, 23 (1995).

IEEE J. Quantum Electron. (1)

K. Kato, IEEE J. Quantum Electron. 26, 1173 (1990).
[CrossRef]

IEEE Trans. Ultrason. Ferroelectr. Freq. Control (1)

D. Roberts and T. Meeker, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39, 165 (1992).
[CrossRef]

J. Appl. Phys. (1)

S. Lin, Z. Sun, B. Wu, and C. Chen, J. Appl. Phys. 67, 634 (1990).
[CrossRef]

J. Opt. Soc. Am. B (1)

Nucl. Instrum. Methods (1)

W. Hunter, R. Williams, J. Rife, J. Kirkland, and M. Kabler, Nucl. Instrum. Methods 195, 141 (1982).
[CrossRef]

Nucl. Instrum. Methods Phys. Res. A (1)

V. Ivanov, A. Kuznetsov, I. Ogorodnikov, V. Pustovarov, and A. Kruzhalov, Nucl. Instrum. Methods Phys. Res. A 359, 339 (1995).
[CrossRef]

Opt. Commun. (2)

V. Dmitriev and D. Nikogosyan, Opt. Commun. 95, 173 (1993).
[CrossRef]

B. Wu, F. Xie, and C. Chen, Opt. Commun. 88, 451 (1992).
[CrossRef]

Opt. Lett. (2)

A. Nobel and R. Beigang, Opt. Lett. 16, 7129 (1991).

S. Almogy and A. Yariv, Opt. Lett. 19, 1828 (1994).
[CrossRef]

Phys. Rev. A (1)

T. J. Chen, R. N. Zitter, and R. Tao, Phys. Rev. A 51, 706 (1995).
[CrossRef] [PubMed]

Phys. Rev. B (3)

T. J. Chen, R. N. Zitter, R. Tao, J. Rife, and W. Hunter, Phys. Rev. B 52, 13703 (1995).
[CrossRef]

Y. N. Xu and W. Y. Ching, Phys. Rev. B 41, 5471 (1990).
[CrossRef]

R. French, J. Ling, F. Ohuchi, and C. Chen, Phys. Rev. B 44, 8496 (1991).
[CrossRef]

Sov. Phys. Crystallogr. (1)

S. Radeiv, E. Genkina, V. Lomonov, B. Maksimov, Y. Pisarevskii, M. Chelokov, and V. Simonov, Sov. Phys. Crystallogr. 36, 803 (1991).

Z. Anorg. Allg. Chem. (1)

V. Konig and R. Hoppe, Z. Anorg. Allg. Chem. 439, 71 (1978).
[CrossRef]

Other (2)

M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1980), pp. 48 and 616.

J. J. Sakurai, Modern Quantum Mechanics (Addison-Wesley, New York, 1985).

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Figures (4)

Fig. 1
Fig. 1

Three sets of reference frames.

Fig. 2
Fig. 2

Reflectances: (a) X polarization and (b) Y polarization; dot points are for measured values, and cross points are from the calculation.

Fig. 3
Fig. 3

Principal values of the real refractive index nj and the extinction coefficient kj (j=X, Y) for LBO: (a) nX, (b) nY, (c) kX, and (d) kY.

Fig. 4
Fig. 4

Refractive indices of LBO in the 2–4-eV region. The dot points are calculated by use of Kato’s equation, and the cross points are calculated by use of Eq. (3) in this paper.

Tables (2)

Tables Icon

Table 1 Match between the Peaks Observed in Our Experiments and the Peaks Calculated by the Energy Levels a from Ref. 6

Tables Icon

Table 2 Fitting Parameters, a Oscillator Strengths, and Matrix Elements

Equations (11)

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

δni(E)=Mi(E-Ei)(E-Ei)2+Γi2,
δki(E)=MiΓi(E-Ei)2+Γi2,
nj(E)=nj+Mbj(E-Ebj)(E-Ebj)2+Γbj2+Mrj(E-Erj)(E-Erj)2+Γrj2+i=16 Mij(E-Eij)(E-Eij)2+Γij2,
kj(E)=MbjΓbj(E-Ebj)2+Γbj2+MrjΓrj(E-Erj)2+Γrj2+i=16 MijΓij(E-Eij)2+Γij2.
Rj(s)(E)=cos θ-n˜j(E)cos θ˜j(E)cos θ+n˜j(E)cos θ˜j(E)2,
Rj(p)(E)=n˜j(E)cos θ-cos θ˜j(E)n˜j(E)cos θ+cos θ˜j(E)2,
sin θ=n˜j sin θ˜j.
Dj=1N lN |Rmj-Rcj|Rmj,
nx2=2.4542+0.01125λ2-0.01135-0.01388λ2,
fi=mMiEi/(2πNe22),
fij=2mEirj2/2.

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