Abstract

We present a method for obtaining a simple relation between bulk and cavity-modified Raman gains for microcavities with arbitrary geometric shapes. The analytical expression for the microcavity-enhanced Raman gain quantitatively accounts quite well for all the main features of the related experiments.

© 1999 Optical Society of America

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References

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  1. See, e.g., D. Meschede, Phys. Rep. 211, 201 (1992)P. Meystre, in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1992), Vol. 30, pp. 261–355S. Haroche and D. Kleppner, Phys. Today 42(1), 24 (1989)R. J. Thompson, G. Rempe, and H. J. Kimble, Phys. Rev. Lett. 68, 1132 (1992).
    [CrossRef] [PubMed]
  2. For a comprehensive review of optical phenomena in microcavities, see R. K. Chang and A. J. Campillo, eds., Optical Processes in Microcavities (World Scientific, Singapore, 1996).
  3. H. M. Lai, P. T. Leung, and K. Young, Phys. Rev. A 37, 1597 (1988).
    [CrossRef] [PubMed]
  4. H. Yokoyama and S. D. Brorson, J. Appl. Phys. 66, 4801 (1989).
    [CrossRef]
  5. S. D. Brorson and P. M. W. Skovgaard, Ref.??2, p. 77S. C. Ching, P. T. Leung, and K. Young, Ref.??2, p. 1H. Chew, Phys. Rev. A 37, 4107 (1988).
    [CrossRef] [PubMed]
  6. A. J. Campillo, J. D. Eversole, and H.-B. Lin, Ref.??2, p. 167H.-B. Lin and A. J. Campillo, Phys. Rev. Lett. 73, 2440 (1994)Opt. Commun. 133, 287 (1997).
    [CrossRef] [PubMed]
  7. R. L. Armstrong, Ref.??2, p. 257.
  8. H.-B. Lin, J. D. Eversole, C. D. Merritt, and A. J. Campillo, Phys. Rev. A 45, 6756 (1992)M. D. Barnes, C. Y. Kung, W. B. Whitten, J. M. Ramsey, S. Arnold, and S. Holler, Phys. Rev. Lett. 76, 3931 (1996)S. Arnold, J. Chem. Phys. 106, 8280 (1997).
    [CrossRef] [PubMed]
  9. S.-X. Qian, J. B. Snow, H.-M. Tzeng, and R. K. Chang, Science 231, 486 (1986)H.-B. Lin, J. D. Eversole, and A. J. Campillo, Opt. Lett. 17, 828 (1992)C. K. Chan, R. C. Flagan, and J. H. Seinfeld, Appl. Opt. 30, 459 (1991).
    [CrossRef] [PubMed]
  10. J. B. Snow, S.-B. Qian, and R. K. Chang, Opt. Lett. 10, 37 (1985)H.-B. Lin, J. D. Eversole, and A. J. Campillo, Phys. Rev. Lett. 67, 437 (1991).
    [CrossRef] [PubMed]
  11. Y. Wu, Phys. Rev. A 54, 1586, 4534 (1996)Y. Wu and X.-X. Yang, Phys. Rev. A 56, 2443 (1997).
    [CrossRef]
  12. M. Sargent, M. O. Scully, and W. E. Lamb, Laser Physics (Addison-Wesley, Reading, Mass., 1974).

1996 (1)

Y. Wu, Phys. Rev. A 54, 1586, 4534 (1996)Y. Wu and X.-X. Yang, Phys. Rev. A 56, 2443 (1997).
[CrossRef]

1992 (2)

See, e.g., D. Meschede, Phys. Rep. 211, 201 (1992)P. Meystre, in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1992), Vol. 30, pp. 261–355S. Haroche and D. Kleppner, Phys. Today 42(1), 24 (1989)R. J. Thompson, G. Rempe, and H. J. Kimble, Phys. Rev. Lett. 68, 1132 (1992).
[CrossRef] [PubMed]

H.-B. Lin, J. D. Eversole, C. D. Merritt, and A. J. Campillo, Phys. Rev. A 45, 6756 (1992)M. D. Barnes, C. Y. Kung, W. B. Whitten, J. M. Ramsey, S. Arnold, and S. Holler, Phys. Rev. Lett. 76, 3931 (1996)S. Arnold, J. Chem. Phys. 106, 8280 (1997).
[CrossRef] [PubMed]

1989 (1)

H. Yokoyama and S. D. Brorson, J. Appl. Phys. 66, 4801 (1989).
[CrossRef]

1988 (1)

H. M. Lai, P. T. Leung, and K. Young, Phys. Rev. A 37, 1597 (1988).
[CrossRef] [PubMed]

1986 (1)

S.-X. Qian, J. B. Snow, H.-M. Tzeng, and R. K. Chang, Science 231, 486 (1986)H.-B. Lin, J. D. Eversole, and A. J. Campillo, Opt. Lett. 17, 828 (1992)C. K. Chan, R. C. Flagan, and J. H. Seinfeld, Appl. Opt. 30, 459 (1991).
[CrossRef] [PubMed]

1985 (1)

Armstrong, R. L.

R. L. Armstrong, Ref.??2, p. 257.

Brorson, S. D.

H. Yokoyama and S. D. Brorson, J. Appl. Phys. 66, 4801 (1989).
[CrossRef]

S. D. Brorson and P. M. W. Skovgaard, Ref.??2, p. 77S. C. Ching, P. T. Leung, and K. Young, Ref.??2, p. 1H. Chew, Phys. Rev. A 37, 4107 (1988).
[CrossRef] [PubMed]

Campillo, A. J.

H.-B. Lin, J. D. Eversole, C. D. Merritt, and A. J. Campillo, Phys. Rev. A 45, 6756 (1992)M. D. Barnes, C. Y. Kung, W. B. Whitten, J. M. Ramsey, S. Arnold, and S. Holler, Phys. Rev. Lett. 76, 3931 (1996)S. Arnold, J. Chem. Phys. 106, 8280 (1997).
[CrossRef] [PubMed]

A. J. Campillo, J. D. Eversole, and H.-B. Lin, Ref.??2, p. 167H.-B. Lin and A. J. Campillo, Phys. Rev. Lett. 73, 2440 (1994)Opt. Commun. 133, 287 (1997).
[CrossRef] [PubMed]

Chang, R. K.

S.-X. Qian, J. B. Snow, H.-M. Tzeng, and R. K. Chang, Science 231, 486 (1986)H.-B. Lin, J. D. Eversole, and A. J. Campillo, Opt. Lett. 17, 828 (1992)C. K. Chan, R. C. Flagan, and J. H. Seinfeld, Appl. Opt. 30, 459 (1991).
[CrossRef] [PubMed]

J. B. Snow, S.-B. Qian, and R. K. Chang, Opt. Lett. 10, 37 (1985)H.-B. Lin, J. D. Eversole, and A. J. Campillo, Phys. Rev. Lett. 67, 437 (1991).
[CrossRef] [PubMed]

Eversole, J. D.

H.-B. Lin, J. D. Eversole, C. D. Merritt, and A. J. Campillo, Phys. Rev. A 45, 6756 (1992)M. D. Barnes, C. Y. Kung, W. B. Whitten, J. M. Ramsey, S. Arnold, and S. Holler, Phys. Rev. Lett. 76, 3931 (1996)S. Arnold, J. Chem. Phys. 106, 8280 (1997).
[CrossRef] [PubMed]

A. J. Campillo, J. D. Eversole, and H.-B. Lin, Ref.??2, p. 167H.-B. Lin and A. J. Campillo, Phys. Rev. Lett. 73, 2440 (1994)Opt. Commun. 133, 287 (1997).
[CrossRef] [PubMed]

Lai, H. M.

H. M. Lai, P. T. Leung, and K. Young, Phys. Rev. A 37, 1597 (1988).
[CrossRef] [PubMed]

Lamb, W. E.

M. Sargent, M. O. Scully, and W. E. Lamb, Laser Physics (Addison-Wesley, Reading, Mass., 1974).

Leung, P. T.

H. M. Lai, P. T. Leung, and K. Young, Phys. Rev. A 37, 1597 (1988).
[CrossRef] [PubMed]

Lin, H.-B.

H.-B. Lin, J. D. Eversole, C. D. Merritt, and A. J. Campillo, Phys. Rev. A 45, 6756 (1992)M. D. Barnes, C. Y. Kung, W. B. Whitten, J. M. Ramsey, S. Arnold, and S. Holler, Phys. Rev. Lett. 76, 3931 (1996)S. Arnold, J. Chem. Phys. 106, 8280 (1997).
[CrossRef] [PubMed]

A. J. Campillo, J. D. Eversole, and H.-B. Lin, Ref.??2, p. 167H.-B. Lin and A. J. Campillo, Phys. Rev. Lett. 73, 2440 (1994)Opt. Commun. 133, 287 (1997).
[CrossRef] [PubMed]

Merritt, C. D.

H.-B. Lin, J. D. Eversole, C. D. Merritt, and A. J. Campillo, Phys. Rev. A 45, 6756 (1992)M. D. Barnes, C. Y. Kung, W. B. Whitten, J. M. Ramsey, S. Arnold, and S. Holler, Phys. Rev. Lett. 76, 3931 (1996)S. Arnold, J. Chem. Phys. 106, 8280 (1997).
[CrossRef] [PubMed]

Meschede, D.

See, e.g., D. Meschede, Phys. Rep. 211, 201 (1992)P. Meystre, in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1992), Vol. 30, pp. 261–355S. Haroche and D. Kleppner, Phys. Today 42(1), 24 (1989)R. J. Thompson, G. Rempe, and H. J. Kimble, Phys. Rev. Lett. 68, 1132 (1992).
[CrossRef] [PubMed]

Qian, S.-B.

Qian, S.-X.

S.-X. Qian, J. B. Snow, H.-M. Tzeng, and R. K. Chang, Science 231, 486 (1986)H.-B. Lin, J. D. Eversole, and A. J. Campillo, Opt. Lett. 17, 828 (1992)C. K. Chan, R. C. Flagan, and J. H. Seinfeld, Appl. Opt. 30, 459 (1991).
[CrossRef] [PubMed]

Sargent, M.

M. Sargent, M. O. Scully, and W. E. Lamb, Laser Physics (Addison-Wesley, Reading, Mass., 1974).

Scully, M. O.

M. Sargent, M. O. Scully, and W. E. Lamb, Laser Physics (Addison-Wesley, Reading, Mass., 1974).

Skovgaard, P. M. W.

S. D. Brorson and P. M. W. Skovgaard, Ref.??2, p. 77S. C. Ching, P. T. Leung, and K. Young, Ref.??2, p. 1H. Chew, Phys. Rev. A 37, 4107 (1988).
[CrossRef] [PubMed]

Snow, J. B.

S.-X. Qian, J. B. Snow, H.-M. Tzeng, and R. K. Chang, Science 231, 486 (1986)H.-B. Lin, J. D. Eversole, and A. J. Campillo, Opt. Lett. 17, 828 (1992)C. K. Chan, R. C. Flagan, and J. H. Seinfeld, Appl. Opt. 30, 459 (1991).
[CrossRef] [PubMed]

J. B. Snow, S.-B. Qian, and R. K. Chang, Opt. Lett. 10, 37 (1985)H.-B. Lin, J. D. Eversole, and A. J. Campillo, Phys. Rev. Lett. 67, 437 (1991).
[CrossRef] [PubMed]

Tzeng, H.-M.

S.-X. Qian, J. B. Snow, H.-M. Tzeng, and R. K. Chang, Science 231, 486 (1986)H.-B. Lin, J. D. Eversole, and A. J. Campillo, Opt. Lett. 17, 828 (1992)C. K. Chan, R. C. Flagan, and J. H. Seinfeld, Appl. Opt. 30, 459 (1991).
[CrossRef] [PubMed]

Wu, Y.

Y. Wu, Phys. Rev. A 54, 1586, 4534 (1996)Y. Wu and X.-X. Yang, Phys. Rev. A 56, 2443 (1997).
[CrossRef]

Yokoyama, H.

H. Yokoyama and S. D. Brorson, J. Appl. Phys. 66, 4801 (1989).
[CrossRef]

Young, K.

H. M. Lai, P. T. Leung, and K. Young, Phys. Rev. A 37, 1597 (1988).
[CrossRef] [PubMed]

J. Appl. Phys. (1)

H. Yokoyama and S. D. Brorson, J. Appl. Phys. 66, 4801 (1989).
[CrossRef]

Opt. Lett. (1)

Phys. Rep. (1)

See, e.g., D. Meschede, Phys. Rep. 211, 201 (1992)P. Meystre, in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1992), Vol. 30, pp. 261–355S. Haroche and D. Kleppner, Phys. Today 42(1), 24 (1989)R. J. Thompson, G. Rempe, and H. J. Kimble, Phys. Rev. Lett. 68, 1132 (1992).
[CrossRef] [PubMed]

Phys. Rev. A (3)

H.-B. Lin, J. D. Eversole, C. D. Merritt, and A. J. Campillo, Phys. Rev. A 45, 6756 (1992)M. D. Barnes, C. Y. Kung, W. B. Whitten, J. M. Ramsey, S. Arnold, and S. Holler, Phys. Rev. Lett. 76, 3931 (1996)S. Arnold, J. Chem. Phys. 106, 8280 (1997).
[CrossRef] [PubMed]

H. M. Lai, P. T. Leung, and K. Young, Phys. Rev. A 37, 1597 (1988).
[CrossRef] [PubMed]

Y. Wu, Phys. Rev. A 54, 1586, 4534 (1996)Y. Wu and X.-X. Yang, Phys. Rev. A 56, 2443 (1997).
[CrossRef]

Science (1)

S.-X. Qian, J. B. Snow, H.-M. Tzeng, and R. K. Chang, Science 231, 486 (1986)H.-B. Lin, J. D. Eversole, and A. J. Campillo, Opt. Lett. 17, 828 (1992)C. K. Chan, R. C. Flagan, and J. H. Seinfeld, Appl. Opt. 30, 459 (1991).
[CrossRef] [PubMed]

Other (5)

For a comprehensive review of optical phenomena in microcavities, see R. K. Chang and A. J. Campillo, eds., Optical Processes in Microcavities (World Scientific, Singapore, 1996).

S. D. Brorson and P. M. W. Skovgaard, Ref.??2, p. 77S. C. Ching, P. T. Leung, and K. Young, Ref.??2, p. 1H. Chew, Phys. Rev. A 37, 4107 (1988).
[CrossRef] [PubMed]

A. J. Campillo, J. D. Eversole, and H.-B. Lin, Ref.??2, p. 167H.-B. Lin and A. J. Campillo, Phys. Rev. Lett. 73, 2440 (1994)Opt. Commun. 133, 287 (1997).
[CrossRef] [PubMed]

R. L. Armstrong, Ref.??2, p. 257.

M. Sargent, M. O. Scully, and W. E. Lamb, Laser Physics (Addison-Wesley, Reading, Mass., 1974).

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H=svsσegapasexpiΩs-ωt+hc,
C·t=-dΩβΩ0tdTCT×exp-iΩ-ωt-T,
Γ=γ/2-γ/22-nthc/nthbSηγΓ1/2,
gcηγ/TSgb

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