Abstract

We report what is to our knowledge the first high-resolution Brillouin gain spectrum in a solid. Resonances corresponding to longitudinal (compressional) and transverse (shear) acoustic waves in fused silica are observed with good resolution and a high signal-to-noise ratio. Absolute gain coefficients, linewidths, and Brillouin frequency shifts are measured. The agreement with previously measured values is good.

© 1990 Optical Society of America

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References

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  1. I. L. Fabelinskii, Molecular Scattering of Light (Plenum, New York, 1968).
    [CrossRef]
  2. W. Kaiser, M. Maier, in Laser Handbook, F. T. Arecchi, E. O. Schulz-Dubois, eds. (North-Holland, Amsterdam, 1972), Vol. 2, pp. 1077–1150.
  3. J. M. Eggleston, M. J. Kushner, Opt. Lett. 12, 410 (1987).
    [CrossRef] [PubMed]
  4. J. R. Smith, J. R. Murray, D. T. Kyrazis, R. B. Wilcox, T. L. Weiland, R. B. Ehrlich, C. E. Thompson, R. B. Engle, A. E. Brown, Proc. Soc. Photo-Opt. Instrum. Eng. 1047, 219 (1989).
  5. E. P. Ippen, R. H. Stolen, Appl. Phys. Lett. 21, 539 (1972).
    [CrossRef]
  6. T. Horiguchi, M. Tateda, Opt. Lett. 14, 408 (1989).
    [CrossRef] [PubMed]
  7. J. Schroeder, R. Mohr, P. B. Macedo, C. J. Montrose, J. Am. Ceram. Soc. 56, 510 (1973); J. Schroeder, L. G. Hwa, G. Kendall, C. S. Dumais, M. C. Shyong, D. A. Thompson, J. Non-Cryst. Solids 102, 240 (1988).
    [CrossRef]
  8. D. Heiman, D. S. Hamilton, R. W. Hellwarth, Phys. Rev. B 19, 6583 (1979).
    [CrossRef]
  9. A. Owyoung, in Chemical Applications of Nonlinear Raman Spectroscopy, A. B. Harvey, ed. (Academic, New York, 1981), pp. 281–320.
  10. P. Esherick, A. Owyoung, in Advances in Infrared and Raman Spectroscopy, R. J. H. Clark, R. E. Hester, eds. (Heyden, London, 1982), Vol. 9, pp. 130–187.
  11. S. Y. Tang, C. Y. She, S. A. Lee, Opt. Lett. 12, 870 (1987).
    [CrossRef] [PubMed]
  12. G. C. Herring, M. J. Dyer, W. K. Bischel, Bull. Am. Phys. Soc. 32, 1634 (1987).
  13. D. Pohl, W. Kaiser, Phys. Rev. B 1, 31 (1970).
    [CrossRef]
  14. M. Denariez, G. Bret, Phys. Rev. 171, 160 (1968).
    [CrossRef]
  15. M. J. Dyer, W. K. Bischel, D. G. Scerbak, Proc. Soc. Photo-Opt. Instrum. Eng. 912, 32 (1988).
  16. R. Vacher, J. Pelous, Phys. Lett. A 53, 233 (1975).
    [CrossRef]

1989 (2)

J. R. Smith, J. R. Murray, D. T. Kyrazis, R. B. Wilcox, T. L. Weiland, R. B. Ehrlich, C. E. Thompson, R. B. Engle, A. E. Brown, Proc. Soc. Photo-Opt. Instrum. Eng. 1047, 219 (1989).

T. Horiguchi, M. Tateda, Opt. Lett. 14, 408 (1989).
[CrossRef] [PubMed]

1988 (1)

M. J. Dyer, W. K. Bischel, D. G. Scerbak, Proc. Soc. Photo-Opt. Instrum. Eng. 912, 32 (1988).

1987 (3)

1979 (1)

D. Heiman, D. S. Hamilton, R. W. Hellwarth, Phys. Rev. B 19, 6583 (1979).
[CrossRef]

1975 (1)

R. Vacher, J. Pelous, Phys. Lett. A 53, 233 (1975).
[CrossRef]

1973 (1)

J. Schroeder, R. Mohr, P. B. Macedo, C. J. Montrose, J. Am. Ceram. Soc. 56, 510 (1973); J. Schroeder, L. G. Hwa, G. Kendall, C. S. Dumais, M. C. Shyong, D. A. Thompson, J. Non-Cryst. Solids 102, 240 (1988).
[CrossRef]

1972 (1)

E. P. Ippen, R. H. Stolen, Appl. Phys. Lett. 21, 539 (1972).
[CrossRef]

1970 (1)

D. Pohl, W. Kaiser, Phys. Rev. B 1, 31 (1970).
[CrossRef]

1968 (1)

M. Denariez, G. Bret, Phys. Rev. 171, 160 (1968).
[CrossRef]

Bischel, W. K.

M. J. Dyer, W. K. Bischel, D. G. Scerbak, Proc. Soc. Photo-Opt. Instrum. Eng. 912, 32 (1988).

G. C. Herring, M. J. Dyer, W. K. Bischel, Bull. Am. Phys. Soc. 32, 1634 (1987).

Bret, G.

M. Denariez, G. Bret, Phys. Rev. 171, 160 (1968).
[CrossRef]

Brown, A. E.

J. R. Smith, J. R. Murray, D. T. Kyrazis, R. B. Wilcox, T. L. Weiland, R. B. Ehrlich, C. E. Thompson, R. B. Engle, A. E. Brown, Proc. Soc. Photo-Opt. Instrum. Eng. 1047, 219 (1989).

Denariez, M.

M. Denariez, G. Bret, Phys. Rev. 171, 160 (1968).
[CrossRef]

Dyer, M. J.

M. J. Dyer, W. K. Bischel, D. G. Scerbak, Proc. Soc. Photo-Opt. Instrum. Eng. 912, 32 (1988).

G. C. Herring, M. J. Dyer, W. K. Bischel, Bull. Am. Phys. Soc. 32, 1634 (1987).

Eggleston, J. M.

Ehrlich, R. B.

J. R. Smith, J. R. Murray, D. T. Kyrazis, R. B. Wilcox, T. L. Weiland, R. B. Ehrlich, C. E. Thompson, R. B. Engle, A. E. Brown, Proc. Soc. Photo-Opt. Instrum. Eng. 1047, 219 (1989).

Engle, R. B.

J. R. Smith, J. R. Murray, D. T. Kyrazis, R. B. Wilcox, T. L. Weiland, R. B. Ehrlich, C. E. Thompson, R. B. Engle, A. E. Brown, Proc. Soc. Photo-Opt. Instrum. Eng. 1047, 219 (1989).

Esherick, P.

P. Esherick, A. Owyoung, in Advances in Infrared and Raman Spectroscopy, R. J. H. Clark, R. E. Hester, eds. (Heyden, London, 1982), Vol. 9, pp. 130–187.

Fabelinskii, I. L.

I. L. Fabelinskii, Molecular Scattering of Light (Plenum, New York, 1968).
[CrossRef]

Hamilton, D. S.

D. Heiman, D. S. Hamilton, R. W. Hellwarth, Phys. Rev. B 19, 6583 (1979).
[CrossRef]

Heiman, D.

D. Heiman, D. S. Hamilton, R. W. Hellwarth, Phys. Rev. B 19, 6583 (1979).
[CrossRef]

Hellwarth, R. W.

D. Heiman, D. S. Hamilton, R. W. Hellwarth, Phys. Rev. B 19, 6583 (1979).
[CrossRef]

Herring, G. C.

G. C. Herring, M. J. Dyer, W. K. Bischel, Bull. Am. Phys. Soc. 32, 1634 (1987).

Horiguchi, T.

Ippen, E. P.

E. P. Ippen, R. H. Stolen, Appl. Phys. Lett. 21, 539 (1972).
[CrossRef]

Kaiser, W.

D. Pohl, W. Kaiser, Phys. Rev. B 1, 31 (1970).
[CrossRef]

W. Kaiser, M. Maier, in Laser Handbook, F. T. Arecchi, E. O. Schulz-Dubois, eds. (North-Holland, Amsterdam, 1972), Vol. 2, pp. 1077–1150.

Kushner, M. J.

Kyrazis, D. T.

J. R. Smith, J. R. Murray, D. T. Kyrazis, R. B. Wilcox, T. L. Weiland, R. B. Ehrlich, C. E. Thompson, R. B. Engle, A. E. Brown, Proc. Soc. Photo-Opt. Instrum. Eng. 1047, 219 (1989).

Lee, S. A.

Macedo, P. B.

J. Schroeder, R. Mohr, P. B. Macedo, C. J. Montrose, J. Am. Ceram. Soc. 56, 510 (1973); J. Schroeder, L. G. Hwa, G. Kendall, C. S. Dumais, M. C. Shyong, D. A. Thompson, J. Non-Cryst. Solids 102, 240 (1988).
[CrossRef]

Maier, M.

W. Kaiser, M. Maier, in Laser Handbook, F. T. Arecchi, E. O. Schulz-Dubois, eds. (North-Holland, Amsterdam, 1972), Vol. 2, pp. 1077–1150.

Mohr, R.

J. Schroeder, R. Mohr, P. B. Macedo, C. J. Montrose, J. Am. Ceram. Soc. 56, 510 (1973); J. Schroeder, L. G. Hwa, G. Kendall, C. S. Dumais, M. C. Shyong, D. A. Thompson, J. Non-Cryst. Solids 102, 240 (1988).
[CrossRef]

Montrose, C. J.

J. Schroeder, R. Mohr, P. B. Macedo, C. J. Montrose, J. Am. Ceram. Soc. 56, 510 (1973); J. Schroeder, L. G. Hwa, G. Kendall, C. S. Dumais, M. C. Shyong, D. A. Thompson, J. Non-Cryst. Solids 102, 240 (1988).
[CrossRef]

Murray, J. R.

J. R. Smith, J. R. Murray, D. T. Kyrazis, R. B. Wilcox, T. L. Weiland, R. B. Ehrlich, C. E. Thompson, R. B. Engle, A. E. Brown, Proc. Soc. Photo-Opt. Instrum. Eng. 1047, 219 (1989).

Owyoung, A.

A. Owyoung, in Chemical Applications of Nonlinear Raman Spectroscopy, A. B. Harvey, ed. (Academic, New York, 1981), pp. 281–320.

P. Esherick, A. Owyoung, in Advances in Infrared and Raman Spectroscopy, R. J. H. Clark, R. E. Hester, eds. (Heyden, London, 1982), Vol. 9, pp. 130–187.

Pelous, J.

R. Vacher, J. Pelous, Phys. Lett. A 53, 233 (1975).
[CrossRef]

Pohl, D.

D. Pohl, W. Kaiser, Phys. Rev. B 1, 31 (1970).
[CrossRef]

Scerbak, D. G.

M. J. Dyer, W. K. Bischel, D. G. Scerbak, Proc. Soc. Photo-Opt. Instrum. Eng. 912, 32 (1988).

Schroeder, J.

J. Schroeder, R. Mohr, P. B. Macedo, C. J. Montrose, J. Am. Ceram. Soc. 56, 510 (1973); J. Schroeder, L. G. Hwa, G. Kendall, C. S. Dumais, M. C. Shyong, D. A. Thompson, J. Non-Cryst. Solids 102, 240 (1988).
[CrossRef]

She, C. Y.

Smith, J. R.

J. R. Smith, J. R. Murray, D. T. Kyrazis, R. B. Wilcox, T. L. Weiland, R. B. Ehrlich, C. E. Thompson, R. B. Engle, A. E. Brown, Proc. Soc. Photo-Opt. Instrum. Eng. 1047, 219 (1989).

Stolen, R. H.

E. P. Ippen, R. H. Stolen, Appl. Phys. Lett. 21, 539 (1972).
[CrossRef]

Tang, S. Y.

Tateda, M.

Thompson, C. E.

J. R. Smith, J. R. Murray, D. T. Kyrazis, R. B. Wilcox, T. L. Weiland, R. B. Ehrlich, C. E. Thompson, R. B. Engle, A. E. Brown, Proc. Soc. Photo-Opt. Instrum. Eng. 1047, 219 (1989).

Vacher, R.

R. Vacher, J. Pelous, Phys. Lett. A 53, 233 (1975).
[CrossRef]

Weiland, T. L.

J. R. Smith, J. R. Murray, D. T. Kyrazis, R. B. Wilcox, T. L. Weiland, R. B. Ehrlich, C. E. Thompson, R. B. Engle, A. E. Brown, Proc. Soc. Photo-Opt. Instrum. Eng. 1047, 219 (1989).

Wilcox, R. B.

J. R. Smith, J. R. Murray, D. T. Kyrazis, R. B. Wilcox, T. L. Weiland, R. B. Ehrlich, C. E. Thompson, R. B. Engle, A. E. Brown, Proc. Soc. Photo-Opt. Instrum. Eng. 1047, 219 (1989).

Appl. Phys. Lett. (1)

E. P. Ippen, R. H. Stolen, Appl. Phys. Lett. 21, 539 (1972).
[CrossRef]

Bull. Am. Phys. Soc. (1)

G. C. Herring, M. J. Dyer, W. K. Bischel, Bull. Am. Phys. Soc. 32, 1634 (1987).

J. Am. Ceram. Soc. (1)

J. Schroeder, R. Mohr, P. B. Macedo, C. J. Montrose, J. Am. Ceram. Soc. 56, 510 (1973); J. Schroeder, L. G. Hwa, G. Kendall, C. S. Dumais, M. C. Shyong, D. A. Thompson, J. Non-Cryst. Solids 102, 240 (1988).
[CrossRef]

Opt. Lett. (3)

Phys. Lett. A (1)

R. Vacher, J. Pelous, Phys. Lett. A 53, 233 (1975).
[CrossRef]

Phys. Rev. (1)

M. Denariez, G. Bret, Phys. Rev. 171, 160 (1968).
[CrossRef]

Phys. Rev. B (2)

D. Heiman, D. S. Hamilton, R. W. Hellwarth, Phys. Rev. B 19, 6583 (1979).
[CrossRef]

D. Pohl, W. Kaiser, Phys. Rev. B 1, 31 (1970).
[CrossRef]

Proc. Soc. Photo-Opt. Instrum. Eng. (2)

M. J. Dyer, W. K. Bischel, D. G. Scerbak, Proc. Soc. Photo-Opt. Instrum. Eng. 912, 32 (1988).

J. R. Smith, J. R. Murray, D. T. Kyrazis, R. B. Wilcox, T. L. Weiland, R. B. Ehrlich, C. E. Thompson, R. B. Engle, A. E. Brown, Proc. Soc. Photo-Opt. Instrum. Eng. 1047, 219 (1989).

Other (4)

I. L. Fabelinskii, Molecular Scattering of Light (Plenum, New York, 1968).
[CrossRef]

W. Kaiser, M. Maier, in Laser Handbook, F. T. Arecchi, E. O. Schulz-Dubois, eds. (North-Holland, Amsterdam, 1972), Vol. 2, pp. 1077–1150.

A. Owyoung, in Chemical Applications of Nonlinear Raman Spectroscopy, A. B. Harvey, ed. (Academic, New York, 1981), pp. 281–320.

P. Esherick, A. Owyoung, in Advances in Infrared and Raman Spectroscopy, R. J. H. Clark, R. E. Hester, eds. (Heyden, London, 1982), Vol. 9, pp. 130–187.

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Figures (3)

Fig. 1
Fig. 1

Experimental apparatus for high-resolution Brillouin gain spectroscopy in solids. Pol, polarizer.

Fig. 2
Fig. 2

Brillouin gain and loss peaks for the longitudinal (outer) peaks and the transverse (inner) peaks in fused silica.

Fig. 3
Fig. 3

High-resolution Brillouin gain spectra of longitudinal [curve (a)] and transverse [curve (b)] peaks in fused silica. The data are shown as points; the solid curves are Voigt profiles fitted to the data. For clarity, only every other data point is shown.

Tables (1)

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Table 1 Summary of Data for Fused Silica

Equations (2)

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ν B = 2 n υ c ν 0 sin θ 2 .
S ( ν ν ) = ± gL P ( ν ν 0 ) d ν { 1 + [ 2 ( ν ν 0 ) ( ν ν ) Δ ν ] 2 } ,

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