Abstract

A new type of polarization spectroscopy (spectroscopy of nonlinear optical activity) is used to investigate the nonlocal response and latent anisotropy of gallium arsenide crystals.

© 1985 Optical Society of America

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References

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  1. S. A. Akhmanov and V. I. Zharikov, JETP Lett. 6, 644 (1967).
  2. S. Kielich, Phys. Lett. 25A, 517 (1967).
  3. P. W. Atkins and L. D. Barron, Proc. R. Soc. London Ser. A 304, 303 (1968).
    [CrossRef]
  4. D. V. Vlasov and V. P. Zaitseva, JETP Lett. 14, 112 (1971).
  5. B. H. Bairamov, B. P. Zaharchenya, V. V. Toporov, and Z. M. Hashhozhev, Soviet Solid State Phys. 15, 1868 (1973).
  6. S. Kielich, Opto-Electronics,  1, 75 (1969);Opt. Comm. 1, 129 (1969);S. Kielich and R. Zavodny, Opt. Comm. 15, 267 (1975).
    [CrossRef]
  7. L. N. Ovander and A. D. Petrenko, Sov. Phys. Solid State 17, 2263 (1975);Sov. Phys. Solid State 19, 340 (1977).
  8. B. V. Bokut and A. J. Serdukov, Opt. Spectrosc. (USSR) 38, 327 (1975).
  9. D. Mukherjee and M. Chowdhry, Physica 58, 109 (1972).
    [CrossRef]
  10. S. A. Akhmanov, B. V. Zhdanov, N. I. Zheludev, A. I. Kovrighin, and V. I. Kuznetsov, JETP Lett. 29, 133 (1979).
  11. M. Ya. Valakh, M. I. Dykman, M. P. Lisitsa, G. Yu. Rudko, and G. G. Tarasov, Solid State Commun. 30, 294 (1979).
    [CrossRef]
  12. L. D. Landau and E. M. Lifshitz, Theoretical Physics VIII (Nauka, Moscow, 1982), p. 492.
  13. The detailed theory of the physical mechanisms of NOA including cascade processes and a microscopic model, is contained in S. A. Akhmanov and N. I. Zheludev, “Spectroscopy of nonlinear optical activity in crystals,” in Nonlinear Phenomena in Solid State Physics (World Science, Singapore, 1985);and N. I. Zheludev and A. D. Petrenko, Sov. Phys. Crystallogr. 29, 1045 (1984).
  14. A. I. Kovrighin, D. V. Yakovlev, B. V. Zhdanov, and N. I. Zheludev, Opt. Commun. 35, 92 (1980).
    [CrossRef]
  15. Small birefringence connected with second-order spatial dispersion (Δn/n∼ 10−6) may be observed in GaAs, but the direction 〈001〉 still remains an optical axis.16
  16. P. Y. Yu and M. Cardona, Solid State Commun. 9, 1421 (1971).
    [CrossRef]
  17. N. I. Zheludev, R. S. Zadoyan, A. I. Kovrighin, V. I. Kuznetsov, S. M. Pershin, and A. A. Podshivalov, Bull. Acad. Sci. USSR 47, 2046 (1983).
  18. S. J. Bepko, Phys. Rev. B 12, 669 (1975).
    [CrossRef]
  19. M. G. Dubenskaya, T. M. Ilinova, I. M. Kaliatzkaya, T. A. Kuzemchenko, and A. A. Fortigin, in Proceedings of the Third Symposium on Ultrafast Phenomena in Spectroscopy (Byelorussian Academy of Science, Minsk, 1983), p. 153.
  20. R. Baltramiunas, Yu. Vaitkus, and V. I. Gavrushin, Bull. Acad. Sci. USSR 42, 2539 (1978).
  21. E. L. Ivchenko, A. S. Permogorov, and A. V. Sel’kin, Solid State Commun. 28, 345 (1978).
    [CrossRef]
  22. O. V. Gogolin, E. G. Chichishvili, J. L. Days, and V. E. Solomko, JETP Lett. 34, 328 (1980).
  23. F. R. Kessler, J. Metzdorf, and R. H. Müller, Phys. Status Solidi (b)75, 567 (1976).
    [CrossRef]

1983 (1)

N. I. Zheludev, R. S. Zadoyan, A. I. Kovrighin, V. I. Kuznetsov, S. M. Pershin, and A. A. Podshivalov, Bull. Acad. Sci. USSR 47, 2046 (1983).

1980 (2)

A. I. Kovrighin, D. V. Yakovlev, B. V. Zhdanov, and N. I. Zheludev, Opt. Commun. 35, 92 (1980).
[CrossRef]

O. V. Gogolin, E. G. Chichishvili, J. L. Days, and V. E. Solomko, JETP Lett. 34, 328 (1980).

1979 (2)

S. A. Akhmanov, B. V. Zhdanov, N. I. Zheludev, A. I. Kovrighin, and V. I. Kuznetsov, JETP Lett. 29, 133 (1979).

M. Ya. Valakh, M. I. Dykman, M. P. Lisitsa, G. Yu. Rudko, and G. G. Tarasov, Solid State Commun. 30, 294 (1979).
[CrossRef]

1978 (2)

R. Baltramiunas, Yu. Vaitkus, and V. I. Gavrushin, Bull. Acad. Sci. USSR 42, 2539 (1978).

E. L. Ivchenko, A. S. Permogorov, and A. V. Sel’kin, Solid State Commun. 28, 345 (1978).
[CrossRef]

1976 (1)

F. R. Kessler, J. Metzdorf, and R. H. Müller, Phys. Status Solidi (b)75, 567 (1976).
[CrossRef]

1975 (3)

S. J. Bepko, Phys. Rev. B 12, 669 (1975).
[CrossRef]

L. N. Ovander and A. D. Petrenko, Sov. Phys. Solid State 17, 2263 (1975);Sov. Phys. Solid State 19, 340 (1977).

B. V. Bokut and A. J. Serdukov, Opt. Spectrosc. (USSR) 38, 327 (1975).

1973 (1)

B. H. Bairamov, B. P. Zaharchenya, V. V. Toporov, and Z. M. Hashhozhev, Soviet Solid State Phys. 15, 1868 (1973).

1972 (1)

D. Mukherjee and M. Chowdhry, Physica 58, 109 (1972).
[CrossRef]

1971 (2)

D. V. Vlasov and V. P. Zaitseva, JETP Lett. 14, 112 (1971).

P. Y. Yu and M. Cardona, Solid State Commun. 9, 1421 (1971).
[CrossRef]

1969 (1)

S. Kielich, Opto-Electronics,  1, 75 (1969);Opt. Comm. 1, 129 (1969);S. Kielich and R. Zavodny, Opt. Comm. 15, 267 (1975).
[CrossRef]

1968 (1)

P. W. Atkins and L. D. Barron, Proc. R. Soc. London Ser. A 304, 303 (1968).
[CrossRef]

1967 (2)

S. A. Akhmanov and V. I. Zharikov, JETP Lett. 6, 644 (1967).

S. Kielich, Phys. Lett. 25A, 517 (1967).

Akhmanov, S. A.

S. A. Akhmanov, B. V. Zhdanov, N. I. Zheludev, A. I. Kovrighin, and V. I. Kuznetsov, JETP Lett. 29, 133 (1979).

S. A. Akhmanov and V. I. Zharikov, JETP Lett. 6, 644 (1967).

The detailed theory of the physical mechanisms of NOA including cascade processes and a microscopic model, is contained in S. A. Akhmanov and N. I. Zheludev, “Spectroscopy of nonlinear optical activity in crystals,” in Nonlinear Phenomena in Solid State Physics (World Science, Singapore, 1985);and N. I. Zheludev and A. D. Petrenko, Sov. Phys. Crystallogr. 29, 1045 (1984).

Atkins, P. W.

P. W. Atkins and L. D. Barron, Proc. R. Soc. London Ser. A 304, 303 (1968).
[CrossRef]

Bairamov, B. H.

B. H. Bairamov, B. P. Zaharchenya, V. V. Toporov, and Z. M. Hashhozhev, Soviet Solid State Phys. 15, 1868 (1973).

Baltramiunas, R.

R. Baltramiunas, Yu. Vaitkus, and V. I. Gavrushin, Bull. Acad. Sci. USSR 42, 2539 (1978).

Barron, L. D.

P. W. Atkins and L. D. Barron, Proc. R. Soc. London Ser. A 304, 303 (1968).
[CrossRef]

Bepko, S. J.

S. J. Bepko, Phys. Rev. B 12, 669 (1975).
[CrossRef]

Bokut, B. V.

B. V. Bokut and A. J. Serdukov, Opt. Spectrosc. (USSR) 38, 327 (1975).

Cardona, M.

P. Y. Yu and M. Cardona, Solid State Commun. 9, 1421 (1971).
[CrossRef]

Chichishvili, E. G.

O. V. Gogolin, E. G. Chichishvili, J. L. Days, and V. E. Solomko, JETP Lett. 34, 328 (1980).

Chowdhry, M.

D. Mukherjee and M. Chowdhry, Physica 58, 109 (1972).
[CrossRef]

Days, J. L.

O. V. Gogolin, E. G. Chichishvili, J. L. Days, and V. E. Solomko, JETP Lett. 34, 328 (1980).

Dubenskaya, M. G.

M. G. Dubenskaya, T. M. Ilinova, I. M. Kaliatzkaya, T. A. Kuzemchenko, and A. A. Fortigin, in Proceedings of the Third Symposium on Ultrafast Phenomena in Spectroscopy (Byelorussian Academy of Science, Minsk, 1983), p. 153.

Dykman, M. I.

M. Ya. Valakh, M. I. Dykman, M. P. Lisitsa, G. Yu. Rudko, and G. G. Tarasov, Solid State Commun. 30, 294 (1979).
[CrossRef]

Fortigin, A. A.

M. G. Dubenskaya, T. M. Ilinova, I. M. Kaliatzkaya, T. A. Kuzemchenko, and A. A. Fortigin, in Proceedings of the Third Symposium on Ultrafast Phenomena in Spectroscopy (Byelorussian Academy of Science, Minsk, 1983), p. 153.

Gavrushin, V. I.

R. Baltramiunas, Yu. Vaitkus, and V. I. Gavrushin, Bull. Acad. Sci. USSR 42, 2539 (1978).

Gogolin, O. V.

O. V. Gogolin, E. G. Chichishvili, J. L. Days, and V. E. Solomko, JETP Lett. 34, 328 (1980).

Hashhozhev, Z. M.

B. H. Bairamov, B. P. Zaharchenya, V. V. Toporov, and Z. M. Hashhozhev, Soviet Solid State Phys. 15, 1868 (1973).

Ilinova, T. M.

M. G. Dubenskaya, T. M. Ilinova, I. M. Kaliatzkaya, T. A. Kuzemchenko, and A. A. Fortigin, in Proceedings of the Third Symposium on Ultrafast Phenomena in Spectroscopy (Byelorussian Academy of Science, Minsk, 1983), p. 153.

Ivchenko, E. L.

E. L. Ivchenko, A. S. Permogorov, and A. V. Sel’kin, Solid State Commun. 28, 345 (1978).
[CrossRef]

Kaliatzkaya, I. M.

M. G. Dubenskaya, T. M. Ilinova, I. M. Kaliatzkaya, T. A. Kuzemchenko, and A. A. Fortigin, in Proceedings of the Third Symposium on Ultrafast Phenomena in Spectroscopy (Byelorussian Academy of Science, Minsk, 1983), p. 153.

Kessler, F. R.

F. R. Kessler, J. Metzdorf, and R. H. Müller, Phys. Status Solidi (b)75, 567 (1976).
[CrossRef]

Kielich, S.

S. Kielich, Opto-Electronics,  1, 75 (1969);Opt. Comm. 1, 129 (1969);S. Kielich and R. Zavodny, Opt. Comm. 15, 267 (1975).
[CrossRef]

S. Kielich, Phys. Lett. 25A, 517 (1967).

Kovrighin, A. I.

N. I. Zheludev, R. S. Zadoyan, A. I. Kovrighin, V. I. Kuznetsov, S. M. Pershin, and A. A. Podshivalov, Bull. Acad. Sci. USSR 47, 2046 (1983).

A. I. Kovrighin, D. V. Yakovlev, B. V. Zhdanov, and N. I. Zheludev, Opt. Commun. 35, 92 (1980).
[CrossRef]

S. A. Akhmanov, B. V. Zhdanov, N. I. Zheludev, A. I. Kovrighin, and V. I. Kuznetsov, JETP Lett. 29, 133 (1979).

Kuzemchenko, T. A.

M. G. Dubenskaya, T. M. Ilinova, I. M. Kaliatzkaya, T. A. Kuzemchenko, and A. A. Fortigin, in Proceedings of the Third Symposium on Ultrafast Phenomena in Spectroscopy (Byelorussian Academy of Science, Minsk, 1983), p. 153.

Kuznetsov, V. I.

N. I. Zheludev, R. S. Zadoyan, A. I. Kovrighin, V. I. Kuznetsov, S. M. Pershin, and A. A. Podshivalov, Bull. Acad. Sci. USSR 47, 2046 (1983).

S. A. Akhmanov, B. V. Zhdanov, N. I. Zheludev, A. I. Kovrighin, and V. I. Kuznetsov, JETP Lett. 29, 133 (1979).

Landau, L. D.

L. D. Landau and E. M. Lifshitz, Theoretical Physics VIII (Nauka, Moscow, 1982), p. 492.

Lifshitz, E. M.

L. D. Landau and E. M. Lifshitz, Theoretical Physics VIII (Nauka, Moscow, 1982), p. 492.

Lisitsa, M. P.

M. Ya. Valakh, M. I. Dykman, M. P. Lisitsa, G. Yu. Rudko, and G. G. Tarasov, Solid State Commun. 30, 294 (1979).
[CrossRef]

Metzdorf, J.

F. R. Kessler, J. Metzdorf, and R. H. Müller, Phys. Status Solidi (b)75, 567 (1976).
[CrossRef]

Mukherjee, D.

D. Mukherjee and M. Chowdhry, Physica 58, 109 (1972).
[CrossRef]

Müller, R. H.

F. R. Kessler, J. Metzdorf, and R. H. Müller, Phys. Status Solidi (b)75, 567 (1976).
[CrossRef]

Ovander, L. N.

L. N. Ovander and A. D. Petrenko, Sov. Phys. Solid State 17, 2263 (1975);Sov. Phys. Solid State 19, 340 (1977).

Permogorov, A. S.

E. L. Ivchenko, A. S. Permogorov, and A. V. Sel’kin, Solid State Commun. 28, 345 (1978).
[CrossRef]

Pershin, S. M.

N. I. Zheludev, R. S. Zadoyan, A. I. Kovrighin, V. I. Kuznetsov, S. M. Pershin, and A. A. Podshivalov, Bull. Acad. Sci. USSR 47, 2046 (1983).

Petrenko, A. D.

L. N. Ovander and A. D. Petrenko, Sov. Phys. Solid State 17, 2263 (1975);Sov. Phys. Solid State 19, 340 (1977).

Podshivalov, A. A.

N. I. Zheludev, R. S. Zadoyan, A. I. Kovrighin, V. I. Kuznetsov, S. M. Pershin, and A. A. Podshivalov, Bull. Acad. Sci. USSR 47, 2046 (1983).

Rudko, G. Yu.

M. Ya. Valakh, M. I. Dykman, M. P. Lisitsa, G. Yu. Rudko, and G. G. Tarasov, Solid State Commun. 30, 294 (1979).
[CrossRef]

Sel’kin, A. V.

E. L. Ivchenko, A. S. Permogorov, and A. V. Sel’kin, Solid State Commun. 28, 345 (1978).
[CrossRef]

Serdukov, A. J.

B. V. Bokut and A. J. Serdukov, Opt. Spectrosc. (USSR) 38, 327 (1975).

Solomko, V. E.

O. V. Gogolin, E. G. Chichishvili, J. L. Days, and V. E. Solomko, JETP Lett. 34, 328 (1980).

Tarasov, G. G.

M. Ya. Valakh, M. I. Dykman, M. P. Lisitsa, G. Yu. Rudko, and G. G. Tarasov, Solid State Commun. 30, 294 (1979).
[CrossRef]

Toporov, V. V.

B. H. Bairamov, B. P. Zaharchenya, V. V. Toporov, and Z. M. Hashhozhev, Soviet Solid State Phys. 15, 1868 (1973).

Vaitkus, Yu.

R. Baltramiunas, Yu. Vaitkus, and V. I. Gavrushin, Bull. Acad. Sci. USSR 42, 2539 (1978).

Valakh, M. Ya.

M. Ya. Valakh, M. I. Dykman, M. P. Lisitsa, G. Yu. Rudko, and G. G. Tarasov, Solid State Commun. 30, 294 (1979).
[CrossRef]

Vlasov, D. V.

D. V. Vlasov and V. P. Zaitseva, JETP Lett. 14, 112 (1971).

Yakovlev, D. V.

A. I. Kovrighin, D. V. Yakovlev, B. V. Zhdanov, and N. I. Zheludev, Opt. Commun. 35, 92 (1980).
[CrossRef]

Yu, P. Y.

P. Y. Yu and M. Cardona, Solid State Commun. 9, 1421 (1971).
[CrossRef]

Zadoyan, R. S.

N. I. Zheludev, R. S. Zadoyan, A. I. Kovrighin, V. I. Kuznetsov, S. M. Pershin, and A. A. Podshivalov, Bull. Acad. Sci. USSR 47, 2046 (1983).

Zaharchenya, B. P.

B. H. Bairamov, B. P. Zaharchenya, V. V. Toporov, and Z. M. Hashhozhev, Soviet Solid State Phys. 15, 1868 (1973).

Zaitseva, V. P.

D. V. Vlasov and V. P. Zaitseva, JETP Lett. 14, 112 (1971).

Zharikov, V. I.

S. A. Akhmanov and V. I. Zharikov, JETP Lett. 6, 644 (1967).

Zhdanov, B. V.

A. I. Kovrighin, D. V. Yakovlev, B. V. Zhdanov, and N. I. Zheludev, Opt. Commun. 35, 92 (1980).
[CrossRef]

S. A. Akhmanov, B. V. Zhdanov, N. I. Zheludev, A. I. Kovrighin, and V. I. Kuznetsov, JETP Lett. 29, 133 (1979).

Zheludev, N. I.

N. I. Zheludev, R. S. Zadoyan, A. I. Kovrighin, V. I. Kuznetsov, S. M. Pershin, and A. A. Podshivalov, Bull. Acad. Sci. USSR 47, 2046 (1983).

A. I. Kovrighin, D. V. Yakovlev, B. V. Zhdanov, and N. I. Zheludev, Opt. Commun. 35, 92 (1980).
[CrossRef]

S. A. Akhmanov, B. V. Zhdanov, N. I. Zheludev, A. I. Kovrighin, and V. I. Kuznetsov, JETP Lett. 29, 133 (1979).

The detailed theory of the physical mechanisms of NOA including cascade processes and a microscopic model, is contained in S. A. Akhmanov and N. I. Zheludev, “Spectroscopy of nonlinear optical activity in crystals,” in Nonlinear Phenomena in Solid State Physics (World Science, Singapore, 1985);and N. I. Zheludev and A. D. Petrenko, Sov. Phys. Crystallogr. 29, 1045 (1984).

Bull. Acad. Sci. USSR (2)

N. I. Zheludev, R. S. Zadoyan, A. I. Kovrighin, V. I. Kuznetsov, S. M. Pershin, and A. A. Podshivalov, Bull. Acad. Sci. USSR 47, 2046 (1983).

R. Baltramiunas, Yu. Vaitkus, and V. I. Gavrushin, Bull. Acad. Sci. USSR 42, 2539 (1978).

JETP Lett. (4)

O. V. Gogolin, E. G. Chichishvili, J. L. Days, and V. E. Solomko, JETP Lett. 34, 328 (1980).

S. A. Akhmanov, B. V. Zhdanov, N. I. Zheludev, A. I. Kovrighin, and V. I. Kuznetsov, JETP Lett. 29, 133 (1979).

S. A. Akhmanov and V. I. Zharikov, JETP Lett. 6, 644 (1967).

D. V. Vlasov and V. P. Zaitseva, JETP Lett. 14, 112 (1971).

Opt. Commun. (1)

A. I. Kovrighin, D. V. Yakovlev, B. V. Zhdanov, and N. I. Zheludev, Opt. Commun. 35, 92 (1980).
[CrossRef]

Opt. Spectrosc. (USSR) (1)

B. V. Bokut and A. J. Serdukov, Opt. Spectrosc. (USSR) 38, 327 (1975).

Opto-Electronics (1)

S. Kielich, Opto-Electronics,  1, 75 (1969);Opt. Comm. 1, 129 (1969);S. Kielich and R. Zavodny, Opt. Comm. 15, 267 (1975).
[CrossRef]

Phys. Lett. (1)

S. Kielich, Phys. Lett. 25A, 517 (1967).

Phys. Rev. B (1)

S. J. Bepko, Phys. Rev. B 12, 669 (1975).
[CrossRef]

Phys. Status Solidi (1)

F. R. Kessler, J. Metzdorf, and R. H. Müller, Phys. Status Solidi (b)75, 567 (1976).
[CrossRef]

Physica (1)

D. Mukherjee and M. Chowdhry, Physica 58, 109 (1972).
[CrossRef]

Proc. R. Soc. London Ser. A (1)

P. W. Atkins and L. D. Barron, Proc. R. Soc. London Ser. A 304, 303 (1968).
[CrossRef]

Solid State Commun. (3)

M. Ya. Valakh, M. I. Dykman, M. P. Lisitsa, G. Yu. Rudko, and G. G. Tarasov, Solid State Commun. 30, 294 (1979).
[CrossRef]

E. L. Ivchenko, A. S. Permogorov, and A. V. Sel’kin, Solid State Commun. 28, 345 (1978).
[CrossRef]

P. Y. Yu and M. Cardona, Solid State Commun. 9, 1421 (1971).
[CrossRef]

Sov. Phys. Solid State (1)

L. N. Ovander and A. D. Petrenko, Sov. Phys. Solid State 17, 2263 (1975);Sov. Phys. Solid State 19, 340 (1977).

Soviet Solid State Phys. (1)

B. H. Bairamov, B. P. Zaharchenya, V. V. Toporov, and Z. M. Hashhozhev, Soviet Solid State Phys. 15, 1868 (1973).

Other (4)

L. D. Landau and E. M. Lifshitz, Theoretical Physics VIII (Nauka, Moscow, 1982), p. 492.

The detailed theory of the physical mechanisms of NOA including cascade processes and a microscopic model, is contained in S. A. Akhmanov and N. I. Zheludev, “Spectroscopy of nonlinear optical activity in crystals,” in Nonlinear Phenomena in Solid State Physics (World Science, Singapore, 1985);and N. I. Zheludev and A. D. Petrenko, Sov. Phys. Crystallogr. 29, 1045 (1984).

M. G. Dubenskaya, T. M. Ilinova, I. M. Kaliatzkaya, T. A. Kuzemchenko, and A. A. Fortigin, in Proceedings of the Third Symposium on Ultrafast Phenomena in Spectroscopy (Byelorussian Academy of Science, Minsk, 1983), p. 153.

Small birefringence connected with second-order spatial dispersion (Δn/n∼ 10−6) may be observed in GaAs, but the direction 〈001〉 still remains an optical axis.16

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Figures (6)

Fig. 1
Fig. 1

Polarimeter for the investigation of NOA in GaAs crystals.

Fig. 2
Fig. 2

A, Frequency dispersion of the rotation angle of NOA for crystal orientations β(0) = ±π/8 (thickness of the sample is 2.5 mm) and different intensities of excitation (dashed lines, I = 600 MW/cm2; solid lines, I = 200 MW/cm2) at 100 K near the two-photon resonance. B, Angle of NOA (B1) and transmission (B2) of GaAs for β(0) = π/8 as a function of exciting photon frequency near the one-photon resonance at 300 K (I = 30 MW/cm2; thickness of the sample is 0.30 mm).

Fig. 3
Fig. 3

Frequency dispersion of nonlinear-absorption coefficient K2 in GaAs for different intensities of excitation at 100 K (solid line, I = 600 MW/cm2; dashed line, I = 200 MW/cm2).

Fig. 4
Fig. 4

Nonlinear susceptibilities associated with NOA-2: frequency dispersion of A, | Re Δχ(3)|, and B, Im Δχ(3), for exciting intensities I = 600 MW/cm2 (solid lines) and I = 200 MW/cm2 (dashed lines).

Fig. 5
Fig. 5

Nonlinear susceptibilities associated with NOA-1: frequency dispersion of A, Re γ 11123 3, and B, | Im γ 11123 3 |, for exciting intensities I = 600 MW/cm2 (solid lines) and I = 200 MW/cm2 (dashed lines).

Fig. 6
Fig. 6

Dependence of NOA angle constant CNOA on crystal orientation β(0) for ℏω = 1.39 eV.

Equations (7)

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

P i = χ i j ( 1 ) E j + χ i j k ( 2 ) E j E k + χ i j k l ( 3 ) E j E k E l + γ i j k ( 1 ) k E j + γ i l j k ( 2 ) E l k E j + γ i m l j k ( 3 ) E m E l k E j + .
d d z ( β B ) = ( Re Im ) γ 11123 ( 3 ) cos [ 2 β ( 0 ) ] 12 ω 2 π E 2 c 2 + ( Im Re ) Δ χ ( 3 ) sin [ 4 β ( 0 ) ] 3 π ω 2 E 2 2 k c 2 ,
Δ χ ( 3 ) = χ 1111 ( 3 ) χ 1122 ( 3 ) 2 χ 1212 ( 3 ) .
I ( t , r ) = I * exp [ ( r / r 0 ) 2 ] cos 2 ( t / τ p ) ( 0 r < ; π τ p / 2 < t < π τ p / 2 ) .
d I d z = K 2 I 2 exp [ K 2 x 0 t I 2 ( t ) d t ] = K 2 * I 2 .
x = 1 0 ω g c ( 0 ) ,
I s = e m eff h 2 ( k T × ω / ( 2 π μ K 2 τ p ) ) 1 / 2 ,

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