Abstract

Collective modes of molecular motion result in long-range correlations between molecules. Orientation correlations between the molecules of an isotropic fluid owing to polar collective modes result in hyper-Rayleigh scattering with distinctive polarization and angle dependence. The polarization and angle dependence for hyper-Rayleigh scattering from polar transverse-optical and longitudinal-optical nonlocal modes, and for dipolar and quadrupolar hyper-Raleigh scattering from local modes, is calculated and compared.

© 2000 Optical Society of America

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References

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  1. K. Clays and A. Persoons, “Hyper-Rayleigh scattering in solution,” Phys. Rev. Lett. 66, 2980–2983 (1991).
    [CrossRef] [PubMed]
  2. K. Clays, A. Persoons, and L. de Maeyer, “Hyper-Rayleigh scattering in solution,” in Modern Nonlinear Optics, I. Prigogine and S. A. Rice, eds., Advances in Chemical Physics (Wiley, New York, 1994), Vol. 85, Pt. 3, pp. 455–498.
  3. G. J. T. Heesink, A. G. T. Ruiter, N. F. van Hulst, and B. Bolger, “Determination of hyperpolarizability tensor components by depolarized hyper Rayleigh scattering,” Phys. Rev. Lett. 71, 999–1002 (1993).
    [CrossRef] [PubMed]
  4. P. Kaatz and D. P. Shelton, “Spectral measurements of hyper-Rayleigh scattering,” Rev. Sci. Instrum. 67, 1438–1444 (1996).
    [CrossRef]
  5. D. Morrison, R. G. Denning, W. M. Laidlaw, and M. A. Stammers, “Measurement of first hyperpolarizabilities by hyper-Rayleigh scattering,” Rev. Sci. Instrum. 67, 1445–1453 (1996).
    [CrossRef]
  6. M. Kauranen and A. Persoons, “Theory of polarization measurements of second-order nonlinear light scattering,” J. Chem. Phys. 104, 3445–3456 (1996).
    [CrossRef]
  7. S. F. Hubbard, R. G. Petschek, K. D. Singer, N. D’Sidocky, C. Hudson, L. C. Chien, C. C. Henderson, and P. A. Cahill, “Measurements of Kleinman-disallowed hyperpolarizability in conjugated chiral molecules,” J. Opt. Soc. Am. B 15, 289–301 (1998).
    [CrossRef]
  8. R. W. Terhune, P. D. Maker, and C. M. Savage, “Measurements of nonlinear light scattering,” Phys. Rev. Lett. 14, 681–684 (1965).
    [CrossRef]
  9. R. Bersohn, Y. H. Pao, and H. L. Frisch, “Double-quantum light scattering by molecules,” J. Chem. Phys. 45, 3184–3198 (1966).
    [CrossRef]
  10. D. L. Weinberg, “Temperature dependence, orientation correlation, and molecular fields in second-harmonic light scattering from liquids and gases,” J. Chem. Phys. 47, 1307–1313 (1967).
    [CrossRef]
  11. P. D. Maker, “Spectral broadening of elastic second-harmonic light scattering in liquids,” Phys. Rev. A 1, 923–951 (1970).
    [CrossRef]
  12. D. P. Shelton and P. Kaatz, “Librons observed in liquid acetonitrile by hyper-Rayleigh scattering,” Phys. Rev. Lett. 84, 1224–1227 (2000).
    [CrossRef] [PubMed]
  13. D. P. Shelton, “Collective molecular rotation in water and other simple liquids,” Chem. Phys. Lett. 325, 513–516 (2000).
    [CrossRef]
  14. S. Kielich and M. Kozierowski, “Symmetric and antisymmetric second-harmonic elastic light scattering and its angular dependences,” Acta Phys. Pol. A 45, 231–251 (1974).
  15. K. Altmann and G. Strey, “The hyper-Raman effect in molecular gases,” J. Raman Spectrosc. 12, 1–15 (1982).
    [CrossRef]
  16. S. Kielich, “Multi-photon scattering molecular spectroscopy,” Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1983), Vol. 20, Pt. 3, pp. 155–261.
  17. M. Kozierowski, “Polarization properties of hyper-Rayleigh and hyper-Raman scatterings,” in Modern Nonlinear Optics, M. Evans and S. Kielich, eds., Advances in Chemical Physics (Wiley, New York, 1993), Vol. 85, Pt. 1, pp. 127–157.
  18. V. N. Denisov, B. N. Mavrin, V. B. Podobedov, and K. E. Sterin, “Longitudinal-transverse splitting of dipole modes in hyper-Raman scattering spectra of liquid CCl4,” Opt. Commun. 44, 39–42 (1982).
    [CrossRef]
  19. V. N. Denisov, B. N. Mavrin, and V. B. Podobedov, “Hyper-Raman scattering by vibrational excitations in crystals, glasses and liquids,” Phys. Rep. 151, 1–92 (1987).
    [CrossRef]
  20. S. Kielich, M. Kozierowski, Z. Ozgo, and R. Zawodny, “Second-harmonic electric quadrupolar elastic scattering by atoms and centro-symmetric molecules,” Acta Phys. Pol. A 45, 9–19 (1974).
  21. A. D. Buckingham, “Permanent and induced molecular moments and long-range intermolecular forces,” Adv. Chem. Phys. 12, 107–142 (1967).
  22. G. Maroulis and A. J. Thakkar, “Polarizabilities and hyper-polarizabilities of carbon dioxide,” J. Chem. Phys. 93, 4164–4170 (1990).
    [CrossRef]
  23. D. M. Bishop and S. M. Cybulski, “Calculation of electromagnetic properties of the noble gases,” Chem. Phys. Lett. 211, 255–258 (1993).
    [CrossRef]
  24. S. Kielich, “Second-harmonic light scattering by dense isotropic media,” Acta Phys. Pol. A 33, 89–104 (1968).
  25. S. Kielich, “Double photon scattering by interacting qua-drupolar and octupolar molecules,” Phys. Lett. 27, 307–308 (1968).
    [CrossRef]
  26. S. Kielich, J. R. Lalanne, and F. B. Martin, “Second harmonic light scattering induced in liquids by quadrupolar molecules,” Acta Phys. Pol. A 41, 479–483 (1972).
  27. P. Kaatz and D. P. Shelton, “Collision induced hyper-Rayleigh light scattering in CCl4,” Mol. Phys. 88, 683–691 (1996).
    [CrossRef]

2000

D. P. Shelton and P. Kaatz, “Librons observed in liquid acetonitrile by hyper-Rayleigh scattering,” Phys. Rev. Lett. 84, 1224–1227 (2000).
[CrossRef] [PubMed]

D. P. Shelton, “Collective molecular rotation in water and other simple liquids,” Chem. Phys. Lett. 325, 513–516 (2000).
[CrossRef]

1998

1996

P. Kaatz and D. P. Shelton, “Spectral measurements of hyper-Rayleigh scattering,” Rev. Sci. Instrum. 67, 1438–1444 (1996).
[CrossRef]

D. Morrison, R. G. Denning, W. M. Laidlaw, and M. A. Stammers, “Measurement of first hyperpolarizabilities by hyper-Rayleigh scattering,” Rev. Sci. Instrum. 67, 1445–1453 (1996).
[CrossRef]

M. Kauranen and A. Persoons, “Theory of polarization measurements of second-order nonlinear light scattering,” J. Chem. Phys. 104, 3445–3456 (1996).
[CrossRef]

P. Kaatz and D. P. Shelton, “Collision induced hyper-Rayleigh light scattering in CCl4,” Mol. Phys. 88, 683–691 (1996).
[CrossRef]

1993

D. M. Bishop and S. M. Cybulski, “Calculation of electromagnetic properties of the noble gases,” Chem. Phys. Lett. 211, 255–258 (1993).
[CrossRef]

G. J. T. Heesink, A. G. T. Ruiter, N. F. van Hulst, and B. Bolger, “Determination of hyperpolarizability tensor components by depolarized hyper Rayleigh scattering,” Phys. Rev. Lett. 71, 999–1002 (1993).
[CrossRef] [PubMed]

1991

K. Clays and A. Persoons, “Hyper-Rayleigh scattering in solution,” Phys. Rev. Lett. 66, 2980–2983 (1991).
[CrossRef] [PubMed]

1990

G. Maroulis and A. J. Thakkar, “Polarizabilities and hyper-polarizabilities of carbon dioxide,” J. Chem. Phys. 93, 4164–4170 (1990).
[CrossRef]

1987

V. N. Denisov, B. N. Mavrin, and V. B. Podobedov, “Hyper-Raman scattering by vibrational excitations in crystals, glasses and liquids,” Phys. Rep. 151, 1–92 (1987).
[CrossRef]

1982

K. Altmann and G. Strey, “The hyper-Raman effect in molecular gases,” J. Raman Spectrosc. 12, 1–15 (1982).
[CrossRef]

V. N. Denisov, B. N. Mavrin, V. B. Podobedov, and K. E. Sterin, “Longitudinal-transverse splitting of dipole modes in hyper-Raman scattering spectra of liquid CCl4,” Opt. Commun. 44, 39–42 (1982).
[CrossRef]

1974

S. Kielich and M. Kozierowski, “Symmetric and antisymmetric second-harmonic elastic light scattering and its angular dependences,” Acta Phys. Pol. A 45, 231–251 (1974).

S. Kielich, M. Kozierowski, Z. Ozgo, and R. Zawodny, “Second-harmonic electric quadrupolar elastic scattering by atoms and centro-symmetric molecules,” Acta Phys. Pol. A 45, 9–19 (1974).

1972

S. Kielich, J. R. Lalanne, and F. B. Martin, “Second harmonic light scattering induced in liquids by quadrupolar molecules,” Acta Phys. Pol. A 41, 479–483 (1972).

1970

P. D. Maker, “Spectral broadening of elastic second-harmonic light scattering in liquids,” Phys. Rev. A 1, 923–951 (1970).
[CrossRef]

1968

S. Kielich, “Second-harmonic light scattering by dense isotropic media,” Acta Phys. Pol. A 33, 89–104 (1968).

S. Kielich, “Double photon scattering by interacting qua-drupolar and octupolar molecules,” Phys. Lett. 27, 307–308 (1968).
[CrossRef]

1967

A. D. Buckingham, “Permanent and induced molecular moments and long-range intermolecular forces,” Adv. Chem. Phys. 12, 107–142 (1967).

D. L. Weinberg, “Temperature dependence, orientation correlation, and molecular fields in second-harmonic light scattering from liquids and gases,” J. Chem. Phys. 47, 1307–1313 (1967).
[CrossRef]

1966

R. Bersohn, Y. H. Pao, and H. L. Frisch, “Double-quantum light scattering by molecules,” J. Chem. Phys. 45, 3184–3198 (1966).
[CrossRef]

1965

R. W. Terhune, P. D. Maker, and C. M. Savage, “Measurements of nonlinear light scattering,” Phys. Rev. Lett. 14, 681–684 (1965).
[CrossRef]

Altmann, K.

K. Altmann and G. Strey, “The hyper-Raman effect in molecular gases,” J. Raman Spectrosc. 12, 1–15 (1982).
[CrossRef]

Bersohn, R.

R. Bersohn, Y. H. Pao, and H. L. Frisch, “Double-quantum light scattering by molecules,” J. Chem. Phys. 45, 3184–3198 (1966).
[CrossRef]

Bishop, D. M.

D. M. Bishop and S. M. Cybulski, “Calculation of electromagnetic properties of the noble gases,” Chem. Phys. Lett. 211, 255–258 (1993).
[CrossRef]

Bolger, B.

G. J. T. Heesink, A. G. T. Ruiter, N. F. van Hulst, and B. Bolger, “Determination of hyperpolarizability tensor components by depolarized hyper Rayleigh scattering,” Phys. Rev. Lett. 71, 999–1002 (1993).
[CrossRef] [PubMed]

Buckingham, A. D.

A. D. Buckingham, “Permanent and induced molecular moments and long-range intermolecular forces,” Adv. Chem. Phys. 12, 107–142 (1967).

Cahill, P. A.

Chien, L. C.

Clays, K.

K. Clays and A. Persoons, “Hyper-Rayleigh scattering in solution,” Phys. Rev. Lett. 66, 2980–2983 (1991).
[CrossRef] [PubMed]

Cybulski, S. M.

D. M. Bishop and S. M. Cybulski, “Calculation of electromagnetic properties of the noble gases,” Chem. Phys. Lett. 211, 255–258 (1993).
[CrossRef]

D’Sidocky, N.

Denisov, V. N.

V. N. Denisov, B. N. Mavrin, and V. B. Podobedov, “Hyper-Raman scattering by vibrational excitations in crystals, glasses and liquids,” Phys. Rep. 151, 1–92 (1987).
[CrossRef]

V. N. Denisov, B. N. Mavrin, V. B. Podobedov, and K. E. Sterin, “Longitudinal-transverse splitting of dipole modes in hyper-Raman scattering spectra of liquid CCl4,” Opt. Commun. 44, 39–42 (1982).
[CrossRef]

Denning, R. G.

D. Morrison, R. G. Denning, W. M. Laidlaw, and M. A. Stammers, “Measurement of first hyperpolarizabilities by hyper-Rayleigh scattering,” Rev. Sci. Instrum. 67, 1445–1453 (1996).
[CrossRef]

Frisch, H. L.

R. Bersohn, Y. H. Pao, and H. L. Frisch, “Double-quantum light scattering by molecules,” J. Chem. Phys. 45, 3184–3198 (1966).
[CrossRef]

Heesink, G. J. T.

G. J. T. Heesink, A. G. T. Ruiter, N. F. van Hulst, and B. Bolger, “Determination of hyperpolarizability tensor components by depolarized hyper Rayleigh scattering,” Phys. Rev. Lett. 71, 999–1002 (1993).
[CrossRef] [PubMed]

Henderson, C. C.

Hubbard, S. F.

Hudson, C.

Kaatz, P.

D. P. Shelton and P. Kaatz, “Librons observed in liquid acetonitrile by hyper-Rayleigh scattering,” Phys. Rev. Lett. 84, 1224–1227 (2000).
[CrossRef] [PubMed]

P. Kaatz and D. P. Shelton, “Spectral measurements of hyper-Rayleigh scattering,” Rev. Sci. Instrum. 67, 1438–1444 (1996).
[CrossRef]

P. Kaatz and D. P. Shelton, “Collision induced hyper-Rayleigh light scattering in CCl4,” Mol. Phys. 88, 683–691 (1996).
[CrossRef]

Kauranen, M.

M. Kauranen and A. Persoons, “Theory of polarization measurements of second-order nonlinear light scattering,” J. Chem. Phys. 104, 3445–3456 (1996).
[CrossRef]

Kielich, S.

S. Kielich and M. Kozierowski, “Symmetric and antisymmetric second-harmonic elastic light scattering and its angular dependences,” Acta Phys. Pol. A 45, 231–251 (1974).

S. Kielich, M. Kozierowski, Z. Ozgo, and R. Zawodny, “Second-harmonic electric quadrupolar elastic scattering by atoms and centro-symmetric molecules,” Acta Phys. Pol. A 45, 9–19 (1974).

S. Kielich, J. R. Lalanne, and F. B. Martin, “Second harmonic light scattering induced in liquids by quadrupolar molecules,” Acta Phys. Pol. A 41, 479–483 (1972).

S. Kielich, “Double photon scattering by interacting qua-drupolar and octupolar molecules,” Phys. Lett. 27, 307–308 (1968).
[CrossRef]

S. Kielich, “Second-harmonic light scattering by dense isotropic media,” Acta Phys. Pol. A 33, 89–104 (1968).

Kozierowski, M.

S. Kielich, M. Kozierowski, Z. Ozgo, and R. Zawodny, “Second-harmonic electric quadrupolar elastic scattering by atoms and centro-symmetric molecules,” Acta Phys. Pol. A 45, 9–19 (1974).

S. Kielich and M. Kozierowski, “Symmetric and antisymmetric second-harmonic elastic light scattering and its angular dependences,” Acta Phys. Pol. A 45, 231–251 (1974).

Laidlaw, W. M.

D. Morrison, R. G. Denning, W. M. Laidlaw, and M. A. Stammers, “Measurement of first hyperpolarizabilities by hyper-Rayleigh scattering,” Rev. Sci. Instrum. 67, 1445–1453 (1996).
[CrossRef]

Lalanne, J. R.

S. Kielich, J. R. Lalanne, and F. B. Martin, “Second harmonic light scattering induced in liquids by quadrupolar molecules,” Acta Phys. Pol. A 41, 479–483 (1972).

Maker, P. D.

P. D. Maker, “Spectral broadening of elastic second-harmonic light scattering in liquids,” Phys. Rev. A 1, 923–951 (1970).
[CrossRef]

R. W. Terhune, P. D. Maker, and C. M. Savage, “Measurements of nonlinear light scattering,” Phys. Rev. Lett. 14, 681–684 (1965).
[CrossRef]

Maroulis, G.

G. Maroulis and A. J. Thakkar, “Polarizabilities and hyper-polarizabilities of carbon dioxide,” J. Chem. Phys. 93, 4164–4170 (1990).
[CrossRef]

Martin, F. B.

S. Kielich, J. R. Lalanne, and F. B. Martin, “Second harmonic light scattering induced in liquids by quadrupolar molecules,” Acta Phys. Pol. A 41, 479–483 (1972).

Mavrin, B. N.

V. N. Denisov, B. N. Mavrin, and V. B. Podobedov, “Hyper-Raman scattering by vibrational excitations in crystals, glasses and liquids,” Phys. Rep. 151, 1–92 (1987).
[CrossRef]

V. N. Denisov, B. N. Mavrin, V. B. Podobedov, and K. E. Sterin, “Longitudinal-transverse splitting of dipole modes in hyper-Raman scattering spectra of liquid CCl4,” Opt. Commun. 44, 39–42 (1982).
[CrossRef]

Morrison, D.

D. Morrison, R. G. Denning, W. M. Laidlaw, and M. A. Stammers, “Measurement of first hyperpolarizabilities by hyper-Rayleigh scattering,” Rev. Sci. Instrum. 67, 1445–1453 (1996).
[CrossRef]

Ozgo, Z.

S. Kielich, M. Kozierowski, Z. Ozgo, and R. Zawodny, “Second-harmonic electric quadrupolar elastic scattering by atoms and centro-symmetric molecules,” Acta Phys. Pol. A 45, 9–19 (1974).

Pao, Y. H.

R. Bersohn, Y. H. Pao, and H. L. Frisch, “Double-quantum light scattering by molecules,” J. Chem. Phys. 45, 3184–3198 (1966).
[CrossRef]

Persoons, A.

M. Kauranen and A. Persoons, “Theory of polarization measurements of second-order nonlinear light scattering,” J. Chem. Phys. 104, 3445–3456 (1996).
[CrossRef]

K. Clays and A. Persoons, “Hyper-Rayleigh scattering in solution,” Phys. Rev. Lett. 66, 2980–2983 (1991).
[CrossRef] [PubMed]

Petschek, R. G.

Podobedov, V. B.

V. N. Denisov, B. N. Mavrin, and V. B. Podobedov, “Hyper-Raman scattering by vibrational excitations in crystals, glasses and liquids,” Phys. Rep. 151, 1–92 (1987).
[CrossRef]

V. N. Denisov, B. N. Mavrin, V. B. Podobedov, and K. E. Sterin, “Longitudinal-transverse splitting of dipole modes in hyper-Raman scattering spectra of liquid CCl4,” Opt. Commun. 44, 39–42 (1982).
[CrossRef]

Ruiter, A. G. T.

G. J. T. Heesink, A. G. T. Ruiter, N. F. van Hulst, and B. Bolger, “Determination of hyperpolarizability tensor components by depolarized hyper Rayleigh scattering,” Phys. Rev. Lett. 71, 999–1002 (1993).
[CrossRef] [PubMed]

Savage, C. M.

R. W. Terhune, P. D. Maker, and C. M. Savage, “Measurements of nonlinear light scattering,” Phys. Rev. Lett. 14, 681–684 (1965).
[CrossRef]

Shelton, D. P.

D. P. Shelton and P. Kaatz, “Librons observed in liquid acetonitrile by hyper-Rayleigh scattering,” Phys. Rev. Lett. 84, 1224–1227 (2000).
[CrossRef] [PubMed]

D. P. Shelton, “Collective molecular rotation in water and other simple liquids,” Chem. Phys. Lett. 325, 513–516 (2000).
[CrossRef]

P. Kaatz and D. P. Shelton, “Collision induced hyper-Rayleigh light scattering in CCl4,” Mol. Phys. 88, 683–691 (1996).
[CrossRef]

P. Kaatz and D. P. Shelton, “Spectral measurements of hyper-Rayleigh scattering,” Rev. Sci. Instrum. 67, 1438–1444 (1996).
[CrossRef]

Singer, K. D.

Stammers, M. A.

D. Morrison, R. G. Denning, W. M. Laidlaw, and M. A. Stammers, “Measurement of first hyperpolarizabilities by hyper-Rayleigh scattering,” Rev. Sci. Instrum. 67, 1445–1453 (1996).
[CrossRef]

Sterin, K. E.

V. N. Denisov, B. N. Mavrin, V. B. Podobedov, and K. E. Sterin, “Longitudinal-transverse splitting of dipole modes in hyper-Raman scattering spectra of liquid CCl4,” Opt. Commun. 44, 39–42 (1982).
[CrossRef]

Strey, G.

K. Altmann and G. Strey, “The hyper-Raman effect in molecular gases,” J. Raman Spectrosc. 12, 1–15 (1982).
[CrossRef]

Terhune, R. W.

R. W. Terhune, P. D. Maker, and C. M. Savage, “Measurements of nonlinear light scattering,” Phys. Rev. Lett. 14, 681–684 (1965).
[CrossRef]

Thakkar, A. J.

G. Maroulis and A. J. Thakkar, “Polarizabilities and hyper-polarizabilities of carbon dioxide,” J. Chem. Phys. 93, 4164–4170 (1990).
[CrossRef]

van Hulst, N. F.

G. J. T. Heesink, A. G. T. Ruiter, N. F. van Hulst, and B. Bolger, “Determination of hyperpolarizability tensor components by depolarized hyper Rayleigh scattering,” Phys. Rev. Lett. 71, 999–1002 (1993).
[CrossRef] [PubMed]

Weinberg, D. L.

D. L. Weinberg, “Temperature dependence, orientation correlation, and molecular fields in second-harmonic light scattering from liquids and gases,” J. Chem. Phys. 47, 1307–1313 (1967).
[CrossRef]

Zawodny, R.

S. Kielich, M. Kozierowski, Z. Ozgo, and R. Zawodny, “Second-harmonic electric quadrupolar elastic scattering by atoms and centro-symmetric molecules,” Acta Phys. Pol. A 45, 9–19 (1974).

Acta Phys. Pol. A

S. Kielich and M. Kozierowski, “Symmetric and antisymmetric second-harmonic elastic light scattering and its angular dependences,” Acta Phys. Pol. A 45, 231–251 (1974).

S. Kielich, M. Kozierowski, Z. Ozgo, and R. Zawodny, “Second-harmonic electric quadrupolar elastic scattering by atoms and centro-symmetric molecules,” Acta Phys. Pol. A 45, 9–19 (1974).

S. Kielich, “Second-harmonic light scattering by dense isotropic media,” Acta Phys. Pol. A 33, 89–104 (1968).

S. Kielich, J. R. Lalanne, and F. B. Martin, “Second harmonic light scattering induced in liquids by quadrupolar molecules,” Acta Phys. Pol. A 41, 479–483 (1972).

Adv. Chem. Phys.

A. D. Buckingham, “Permanent and induced molecular moments and long-range intermolecular forces,” Adv. Chem. Phys. 12, 107–142 (1967).

Chem. Phys. Lett.

D. P. Shelton, “Collective molecular rotation in water and other simple liquids,” Chem. Phys. Lett. 325, 513–516 (2000).
[CrossRef]

D. M. Bishop and S. M. Cybulski, “Calculation of electromagnetic properties of the noble gases,” Chem. Phys. Lett. 211, 255–258 (1993).
[CrossRef]

J. Chem. Phys.

M. Kauranen and A. Persoons, “Theory of polarization measurements of second-order nonlinear light scattering,” J. Chem. Phys. 104, 3445–3456 (1996).
[CrossRef]

G. Maroulis and A. J. Thakkar, “Polarizabilities and hyper-polarizabilities of carbon dioxide,” J. Chem. Phys. 93, 4164–4170 (1990).
[CrossRef]

R. Bersohn, Y. H. Pao, and H. L. Frisch, “Double-quantum light scattering by molecules,” J. Chem. Phys. 45, 3184–3198 (1966).
[CrossRef]

D. L. Weinberg, “Temperature dependence, orientation correlation, and molecular fields in second-harmonic light scattering from liquids and gases,” J. Chem. Phys. 47, 1307–1313 (1967).
[CrossRef]

J. Opt. Soc. Am. B

J. Raman Spectrosc.

K. Altmann and G. Strey, “The hyper-Raman effect in molecular gases,” J. Raman Spectrosc. 12, 1–15 (1982).
[CrossRef]

Mol. Phys.

P. Kaatz and D. P. Shelton, “Collision induced hyper-Rayleigh light scattering in CCl4,” Mol. Phys. 88, 683–691 (1996).
[CrossRef]

Opt. Commun.

V. N. Denisov, B. N. Mavrin, V. B. Podobedov, and K. E. Sterin, “Longitudinal-transverse splitting of dipole modes in hyper-Raman scattering spectra of liquid CCl4,” Opt. Commun. 44, 39–42 (1982).
[CrossRef]

Phys. Lett.

S. Kielich, “Double photon scattering by interacting qua-drupolar and octupolar molecules,” Phys. Lett. 27, 307–308 (1968).
[CrossRef]

Phys. Rep.

V. N. Denisov, B. N. Mavrin, and V. B. Podobedov, “Hyper-Raman scattering by vibrational excitations in crystals, glasses and liquids,” Phys. Rep. 151, 1–92 (1987).
[CrossRef]

Phys. Rev. A

P. D. Maker, “Spectral broadening of elastic second-harmonic light scattering in liquids,” Phys. Rev. A 1, 923–951 (1970).
[CrossRef]

Phys. Rev. Lett.

D. P. Shelton and P. Kaatz, “Librons observed in liquid acetonitrile by hyper-Rayleigh scattering,” Phys. Rev. Lett. 84, 1224–1227 (2000).
[CrossRef] [PubMed]

R. W. Terhune, P. D. Maker, and C. M. Savage, “Measurements of nonlinear light scattering,” Phys. Rev. Lett. 14, 681–684 (1965).
[CrossRef]

K. Clays and A. Persoons, “Hyper-Rayleigh scattering in solution,” Phys. Rev. Lett. 66, 2980–2983 (1991).
[CrossRef] [PubMed]

G. J. T. Heesink, A. G. T. Ruiter, N. F. van Hulst, and B. Bolger, “Determination of hyperpolarizability tensor components by depolarized hyper Rayleigh scattering,” Phys. Rev. Lett. 71, 999–1002 (1993).
[CrossRef] [PubMed]

Rev. Sci. Instrum.

P. Kaatz and D. P. Shelton, “Spectral measurements of hyper-Rayleigh scattering,” Rev. Sci. Instrum. 67, 1438–1444 (1996).
[CrossRef]

D. Morrison, R. G. Denning, W. M. Laidlaw, and M. A. Stammers, “Measurement of first hyperpolarizabilities by hyper-Rayleigh scattering,” Rev. Sci. Instrum. 67, 1445–1453 (1996).
[CrossRef]

Other

K. Clays, A. Persoons, and L. de Maeyer, “Hyper-Rayleigh scattering in solution,” in Modern Nonlinear Optics, I. Prigogine and S. A. Rice, eds., Advances in Chemical Physics (Wiley, New York, 1994), Vol. 85, Pt. 3, pp. 455–498.

S. Kielich, “Multi-photon scattering molecular spectroscopy,” Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1983), Vol. 20, Pt. 3, pp. 155–261.

M. Kozierowski, “Polarization properties of hyper-Rayleigh and hyper-Raman scatterings,” in Modern Nonlinear Optics, M. Evans and S. Kielich, eds., Advances in Chemical Physics (Wiley, New York, 1993), Vol. 85, Pt. 1, pp. 127–157.

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Figures (1)

Fig. 1
Fig. 1

Laser light with wave vector ki is incident along Y, and scattered light with wavevector ks is collected close to the XY plane. The incident polarization vector is along Z or X (V or H polarized). A component of the scattered light is selected with polarization either in the ksZ plane (V polarized) or parallel to the XY plane (H polarized). The polarization combinations considered are labeled VV, HV, VH, and HH, where the incident polarization is given by the first letter and the scattered polarization is given by the second letter.

Tables (2)

Tables Icon

Table 1 Comparison of Angle and Polarization Dependence for Several Contributions to Hyper-Raleigh Scattering in the XY Planea

Tables Icon

Table 2 Effect of a Rectangular Collection Aperture with Angular Size 2Δθ×2Δψ (Radians) on the Hyper-Rayleigh Scattering Intensitya

Equations (21)

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

EH(1-λZ2)-1/2(μXλY-μYλX)eˆ1,
EV(1-λZ2)-1/2[μXλXλZ+μYλYλZ-μZ(1-λZ2)]eˆ2.
IVV/A1βXZZ2=P2 cos2 ψ+sin2 ψ,
IHV/A1βXZZ2=P2 sin2 θ sin2 ψ+cos2 θ sin2 ψ+cos2 ψ,
IVH/A1βXZZ2=1,
IHH/A1βXZZ2=P2 cos2 θ+sin2 θ,
QˆTO,1=λXYˆ-(1-λY)Xˆ[(1-λY)2+λX2]1/2,
QˆTO,2=(1-λY)λZYˆ-λXλZXˆ-(1-λZ2)Zˆ[(1-λY)2λZ2+λX2λZ2+(1-λZ2)2]1/2,
QˆLO=(1-λY)Yˆ-λXXˆ-λZZˆ[2(1-λY)]1/2.
ITO,VVA2[χXZZX]2
=sin2 θ sin2 ψ1+cos2 ψ-2 cos θ cos ψ+[(R-1)cos3 ψ+cos ψ-cos θ sin2 ψ]21-2 cos θ cos ψ sin2 ψ,
ITO,HVA2[χXZZX]2
=[(R-1)(1-cos θ cos ψ)+1]2 sin2 θ sin2 ψ1+cos2 ψ-2 cos θ cos ψ+[(R-1)sin2 θ sin2 ψ cos ψ+cos ψ-cos θ sin2 ψ]21-2 cos θ cos ψ sin2 ψ,
ITO,VHA2[χXZZX]2
=(cos θ-cos ψ)21+cos2 ψ-2 cos θ cos ψ+sin2 θ sin2 ψ1-2 cos θ cos ψ sin2 ψ,
ITO,HHA2[χXZZX]2
=[(R-1)cos θ(1-cos θ cos ψ)+cos θ-cos ψ]21+cos2 ψ-2 cos θ cos ψ+[(R-1)cos θ cos ψ+1]2 sin2 θ sin2 ψ1-2 cos θ cos ψ sin2 ψ.
ILO,VVA3[χXZZX]2=[(R-1)cos ψ+cos θ]2 sin2 ψ2(1-cos θ cos ψ),
ILO,HVA3[χXZZX]2=[(R-1)sin2 θ cos ψ-cos θ]2 sin2 ψ2(1-cos θ cos ψ),
ILO,VHA3[χXZZX]2=sin2 θ2(1-cos θ cos ψ),
ILO,HHA3[χXZZX]2=[(R-1)cos θ cos ψ+1]2 sin2 θ2(1-cos θ cos ψ).

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