Abstract

Stimulated Rayleigh-wing scattering is studied here in various liquids excited with a Bessel beam that allows a complete spatial separation between the transmitted exciting light and the scattered light. The results show that a large Stokes spectral band displaying substructures is obtained in the absence of self-focusing, cross-focusing, self-phase modulation, and cross-phase modulation. An interpretation is proposed based on the role of cascade Stokes–anti-Stokes coupled scattering processes.

© 1999 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. W. Kaiser and M. Maier, “Stimulated scatterings,” in Laser Handbook, F. T. Arechi and E. O. Schulz-Dubois, eds. (North-Holland, Amsterdam, 1972).
  2. H. Z. Wang, X. G. Zheng, W. D. Mao, Z. X. Yu, and Z. L. Gao, “Stimulated dynamic light scattering,” Phys. Rev. A 52, 1740 (1995).
    [CrossRef] [PubMed]
  3. D. Wang and G. Rivoire, “Large spectral bandwidth stimulated Rayleigh-wing scattering in CS2,” J. Chem. Phys. 98, 9279 (1993); G. Rivoire and D. Wang, “Dynamics of CS2 in the large spectral bandwidth stimulated Rayleigh-wing scattering,” J. Chem. Phys. 99, 9460 (1993).
    [CrossRef]
  4. G. S. He and P. N. Prasad, “Stimulated Rayleigh-Kerr scattering in a CS2 liquid-core fiber system,” Opt. Commun. 73, 161 (1989); G. S. He, G. C. Xu, Y. Pang, and P. N. Prasad, “Temporal behavior of stimulated Kerr scattering in a CS2 liquid-core hollow fiber system,” J. Opt. Soc. Am. B 8, 1907 (1991).
    [CrossRef]
  5. D. Wang, R. Barille, and G. Rivoire, “Stokes spectral broadening at an over-soliton threshold excitation in a planar waveguide,” J. Opt. Soc. Am. B 15, 181 (1998).
    [CrossRef]
  6. E. J. Miller and R. W. Boyd, “Stimulated scattering of picosecond optical pulses in the presence of self focusing,” Int. J. Nonlinear Opt. Phys. 14, 765 (1992).
    [CrossRef]
  7. H. Dorkenoo, A. J. Van Wonderen, and G. Rivoire, “Interplay between the optical Kerr effect and stimulated light scattering in bulk carbon disulfide,” J. Opt. Soc. Am. B 15, 1762 (1998).
    [CrossRef]
  8. J. Durnin, J. J. Miceli, Jr., and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499 (1987).
    [CrossRef] [PubMed]
  9. S. Klewitz, P. Leiderer, S. Herminghaus, and S. Sogomonian, “Tunable stimulated Raman scattering by pumping with a Bessel beam,” Opt. Lett. 21, 248 (1996).
    [CrossRef] [PubMed]
  10. S. Sogomonian, S. Klewitz, and S. Herminghaus, “Self-reconstruction of a Bessel beam in a nonlinear medium,” Opt. Commun. 139, 313 (1997).
    [CrossRef]
  11. I. Golub, “Superluminal-source-induced emission,” Opt. Lett. 20, 1847 (1995).
    [CrossRef] [PubMed]
  12. V. E. Peet, “Resonantly enhanced multiphoton ionization of xenon in Bessel beam,” Phys. Rev. A 53, 3679 (1996).
    [CrossRef] [PubMed]
  13. L. Niggl and M. Maier, “Gain-guided modes in stimulated scattering processes with diffraction-free pump beams,” Opt. Lett. 22, 910 (1997).
    [CrossRef] [PubMed]
  14. S. Sogomonian, R. Barille, and G. Rivoire, “Forward stimulated Rayleigh-wing scattering in CS2 by pumping with a Bessel beam,” Opt. Commun. 157, 182 (1998).
    [CrossRef]
  15. J. Y. Zhou, H. Z. Wang, Y. C. Li, and Z. X. Yu, “Stimulated Rayleigh wing scattering and stimulated four-photon interaction in liquid-core waveguides,” J. Mod. Opt. 38, 1015 (1991).
    [CrossRef]
  16. R. W. Boyd, Nonlinear Optics (Academic, New York, 1992), p. 260.
  17. R. Y. Chiao, P. L. Kelly, and E. Garmine, “Stimulated four-photon interaction and its influence on stimulated Rayleigh-wing scattering,” Phys. Rev. Lett. 17, 1158 (1966).
    [CrossRef]
  18. G. Bruhat, Optique (Masson, Paris, 1992).
  19. D. Wang, R. Barille, and G. Rivoire, “Influence of soliton propagation on the beam-polarization dynamics in a planar waveguide,” J. Opt. Soc. Am. B 15, 2731 (1998).
    [CrossRef]

1998 (4)

1997 (2)

L. Niggl and M. Maier, “Gain-guided modes in stimulated scattering processes with diffraction-free pump beams,” Opt. Lett. 22, 910 (1997).
[CrossRef] [PubMed]

S. Sogomonian, S. Klewitz, and S. Herminghaus, “Self-reconstruction of a Bessel beam in a nonlinear medium,” Opt. Commun. 139, 313 (1997).
[CrossRef]

1996 (2)

1995 (2)

H. Z. Wang, X. G. Zheng, W. D. Mao, Z. X. Yu, and Z. L. Gao, “Stimulated dynamic light scattering,” Phys. Rev. A 52, 1740 (1995).
[CrossRef] [PubMed]

I. Golub, “Superluminal-source-induced emission,” Opt. Lett. 20, 1847 (1995).
[CrossRef] [PubMed]

1992 (1)

E. J. Miller and R. W. Boyd, “Stimulated scattering of picosecond optical pulses in the presence of self focusing,” Int. J. Nonlinear Opt. Phys. 14, 765 (1992).
[CrossRef]

1991 (1)

J. Y. Zhou, H. Z. Wang, Y. C. Li, and Z. X. Yu, “Stimulated Rayleigh wing scattering and stimulated four-photon interaction in liquid-core waveguides,” J. Mod. Opt. 38, 1015 (1991).
[CrossRef]

1987 (1)

J. Durnin, J. J. Miceli, Jr., and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

1966 (1)

R. Y. Chiao, P. L. Kelly, and E. Garmine, “Stimulated four-photon interaction and its influence on stimulated Rayleigh-wing scattering,” Phys. Rev. Lett. 17, 1158 (1966).
[CrossRef]

Barille, R.

Boyd, R. W.

E. J. Miller and R. W. Boyd, “Stimulated scattering of picosecond optical pulses in the presence of self focusing,” Int. J. Nonlinear Opt. Phys. 14, 765 (1992).
[CrossRef]

Chiao, R. Y.

R. Y. Chiao, P. L. Kelly, and E. Garmine, “Stimulated four-photon interaction and its influence on stimulated Rayleigh-wing scattering,” Phys. Rev. Lett. 17, 1158 (1966).
[CrossRef]

Dorkenoo, H.

Durnin, J.

J. Durnin, J. J. Miceli, Jr., and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

Eberly, J. H.

J. Durnin, J. J. Miceli, Jr., and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

Gao, Z. L.

H. Z. Wang, X. G. Zheng, W. D. Mao, Z. X. Yu, and Z. L. Gao, “Stimulated dynamic light scattering,” Phys. Rev. A 52, 1740 (1995).
[CrossRef] [PubMed]

Garmine, E.

R. Y. Chiao, P. L. Kelly, and E. Garmine, “Stimulated four-photon interaction and its influence on stimulated Rayleigh-wing scattering,” Phys. Rev. Lett. 17, 1158 (1966).
[CrossRef]

Golub, I.

Herminghaus, S.

S. Sogomonian, S. Klewitz, and S. Herminghaus, “Self-reconstruction of a Bessel beam in a nonlinear medium,” Opt. Commun. 139, 313 (1997).
[CrossRef]

S. Klewitz, P. Leiderer, S. Herminghaus, and S. Sogomonian, “Tunable stimulated Raman scattering by pumping with a Bessel beam,” Opt. Lett. 21, 248 (1996).
[CrossRef] [PubMed]

Kelly, P. L.

R. Y. Chiao, P. L. Kelly, and E. Garmine, “Stimulated four-photon interaction and its influence on stimulated Rayleigh-wing scattering,” Phys. Rev. Lett. 17, 1158 (1966).
[CrossRef]

Klewitz, S.

S. Sogomonian, S. Klewitz, and S. Herminghaus, “Self-reconstruction of a Bessel beam in a nonlinear medium,” Opt. Commun. 139, 313 (1997).
[CrossRef]

S. Klewitz, P. Leiderer, S. Herminghaus, and S. Sogomonian, “Tunable stimulated Raman scattering by pumping with a Bessel beam,” Opt. Lett. 21, 248 (1996).
[CrossRef] [PubMed]

Leiderer, P.

Li, Y. C.

J. Y. Zhou, H. Z. Wang, Y. C. Li, and Z. X. Yu, “Stimulated Rayleigh wing scattering and stimulated four-photon interaction in liquid-core waveguides,” J. Mod. Opt. 38, 1015 (1991).
[CrossRef]

Maier, M.

Mao, W. D.

H. Z. Wang, X. G. Zheng, W. D. Mao, Z. X. Yu, and Z. L. Gao, “Stimulated dynamic light scattering,” Phys. Rev. A 52, 1740 (1995).
[CrossRef] [PubMed]

Miceli Jr., J. J.

J. Durnin, J. J. Miceli, Jr., and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

Miller, E. J.

E. J. Miller and R. W. Boyd, “Stimulated scattering of picosecond optical pulses in the presence of self focusing,” Int. J. Nonlinear Opt. Phys. 14, 765 (1992).
[CrossRef]

Niggl, L.

Peet, V. E.

V. E. Peet, “Resonantly enhanced multiphoton ionization of xenon in Bessel beam,” Phys. Rev. A 53, 3679 (1996).
[CrossRef] [PubMed]

Rivoire, G.

Sogomonian, S.

S. Sogomonian, R. Barille, and G. Rivoire, “Forward stimulated Rayleigh-wing scattering in CS2 by pumping with a Bessel beam,” Opt. Commun. 157, 182 (1998).
[CrossRef]

S. Sogomonian, S. Klewitz, and S. Herminghaus, “Self-reconstruction of a Bessel beam in a nonlinear medium,” Opt. Commun. 139, 313 (1997).
[CrossRef]

S. Klewitz, P. Leiderer, S. Herminghaus, and S. Sogomonian, “Tunable stimulated Raman scattering by pumping with a Bessel beam,” Opt. Lett. 21, 248 (1996).
[CrossRef] [PubMed]

Van Wonderen, A. J.

Wang, D.

Wang, H. Z.

H. Z. Wang, X. G. Zheng, W. D. Mao, Z. X. Yu, and Z. L. Gao, “Stimulated dynamic light scattering,” Phys. Rev. A 52, 1740 (1995).
[CrossRef] [PubMed]

J. Y. Zhou, H. Z. Wang, Y. C. Li, and Z. X. Yu, “Stimulated Rayleigh wing scattering and stimulated four-photon interaction in liquid-core waveguides,” J. Mod. Opt. 38, 1015 (1991).
[CrossRef]

Yu, Z. X.

H. Z. Wang, X. G. Zheng, W. D. Mao, Z. X. Yu, and Z. L. Gao, “Stimulated dynamic light scattering,” Phys. Rev. A 52, 1740 (1995).
[CrossRef] [PubMed]

J. Y. Zhou, H. Z. Wang, Y. C. Li, and Z. X. Yu, “Stimulated Rayleigh wing scattering and stimulated four-photon interaction in liquid-core waveguides,” J. Mod. Opt. 38, 1015 (1991).
[CrossRef]

Zheng, X. G.

H. Z. Wang, X. G. Zheng, W. D. Mao, Z. X. Yu, and Z. L. Gao, “Stimulated dynamic light scattering,” Phys. Rev. A 52, 1740 (1995).
[CrossRef] [PubMed]

Zhou, J. Y.

J. Y. Zhou, H. Z. Wang, Y. C. Li, and Z. X. Yu, “Stimulated Rayleigh wing scattering and stimulated four-photon interaction in liquid-core waveguides,” J. Mod. Opt. 38, 1015 (1991).
[CrossRef]

Int. J. Nonlinear Opt. Phys. (1)

E. J. Miller and R. W. Boyd, “Stimulated scattering of picosecond optical pulses in the presence of self focusing,” Int. J. Nonlinear Opt. Phys. 14, 765 (1992).
[CrossRef]

J. Mod. Opt. (1)

J. Y. Zhou, H. Z. Wang, Y. C. Li, and Z. X. Yu, “Stimulated Rayleigh wing scattering and stimulated four-photon interaction in liquid-core waveguides,” J. Mod. Opt. 38, 1015 (1991).
[CrossRef]

J. Opt. Soc. Am. B (3)

Opt. Commun. (2)

S. Sogomonian, S. Klewitz, and S. Herminghaus, “Self-reconstruction of a Bessel beam in a nonlinear medium,” Opt. Commun. 139, 313 (1997).
[CrossRef]

S. Sogomonian, R. Barille, and G. Rivoire, “Forward stimulated Rayleigh-wing scattering in CS2 by pumping with a Bessel beam,” Opt. Commun. 157, 182 (1998).
[CrossRef]

Opt. Lett. (3)

Phys. Rev. A (2)

V. E. Peet, “Resonantly enhanced multiphoton ionization of xenon in Bessel beam,” Phys. Rev. A 53, 3679 (1996).
[CrossRef] [PubMed]

H. Z. Wang, X. G. Zheng, W. D. Mao, Z. X. Yu, and Z. L. Gao, “Stimulated dynamic light scattering,” Phys. Rev. A 52, 1740 (1995).
[CrossRef] [PubMed]

Phys. Rev. Lett. (2)

J. Durnin, J. J. Miceli, Jr., and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

R. Y. Chiao, P. L. Kelly, and E. Garmine, “Stimulated four-photon interaction and its influence on stimulated Rayleigh-wing scattering,” Phys. Rev. Lett. 17, 1158 (1966).
[CrossRef]

Other (5)

G. Bruhat, Optique (Masson, Paris, 1992).

R. W. Boyd, Nonlinear Optics (Academic, New York, 1992), p. 260.

D. Wang and G. Rivoire, “Large spectral bandwidth stimulated Rayleigh-wing scattering in CS2,” J. Chem. Phys. 98, 9279 (1993); G. Rivoire and D. Wang, “Dynamics of CS2 in the large spectral bandwidth stimulated Rayleigh-wing scattering,” J. Chem. Phys. 99, 9460 (1993).
[CrossRef]

G. S. He and P. N. Prasad, “Stimulated Rayleigh-Kerr scattering in a CS2 liquid-core fiber system,” Opt. Commun. 73, 161 (1989); G. S. He, G. C. Xu, Y. Pang, and P. N. Prasad, “Temporal behavior of stimulated Kerr scattering in a CS2 liquid-core hollow fiber system,” J. Opt. Soc. Am. B 8, 1907 (1991).
[CrossRef]

W. Kaiser and M. Maier, “Stimulated scatterings,” in Laser Handbook, F. T. Arechi and E. O. Schulz-Dubois, eds. (North-Holland, Amsterdam, 1972).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (6)

Fig. 1
Fig. 1

Spectra of (a) input pump line and of (b) and (c) SRWS in CS2 in the forward direction of the cone axis at the threshold. Ω0=2.53.5 cm-1, Ω1=5.58 cm-1.

Fig. 2
Fig. 2

Spectra of SRWS in CS2 above the threshold PT: (a) monitoring of input pump line, (b) and (c) typical spectra for a pumping intensity PL=1.1PT, (d) and (e) typical spectra for PL1.3PT, and (f) evolution of the spectrum for PL2PT.

Fig. 3
Fig. 3

Typical spectrum of SRWS in C6H5CH3.

Fig. 4
Fig. 4

Wave-vector diagram near the phase-matching condition. kL, kL, laser wave vectors; ks, kA, Stokes and anti-Stokes wave vectors.

Fig. 5
Fig. 5

Gain |G| of the coupled Stokes–anti-Stokes process pumped by the first Rayleigh line versus the wave-vector difference Δk and the frequency parameter u=Ωτ. The curves are obtained for p=150 m-1, |G| in inverse meters, Δk in inverse meters, and u=Ωτ dimensionless.

Fig. 6
Fig. 6

Gain |G| of the coupled Stokes–anti-Stokes process pumped by the first Rayleigh line versus the frequency parameter u=Ωτ for different values of Δk. The curves are obtained for p=150 m-1 (same units as in Fig. 5).

Equations (23)

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

k=ke+ke-ks-kA,
g(Ω)=2n2ωscΩτ1+Ω2τ2,
Asz=-αAs-αAA* exp(iΔkz)exp(2iφ0),
AA*z=αAA*+αAs exp(-iΔkz)exp(-2iφ0),
α=-in2ωsc11+iΩτI0,
Ω=ωs-ω0,
As=Fs exp(Γz)exp+iΔkz2,
Γ=G+iΨ.
G=±122{-Δk2+qΔk+[Δk4+2qΔk2(2p-Δk)]1/2}1/2,
p=2n2ωScI0,q=4p1+Ω2τ2.
Δkk0=-B2+12(s2+a2-θ02-θ02),
Ωmax=Δk-3pΔk-p1/21τ.
|Gmax|=1222p2ΔkΔk-2p1/2.
IS(z)IS(0)4(G2+Ψ2)G+pΩτ(1+Ω2τ2)2+Ψ+Ρ1+Ω2τ2-Δk22exp(2|G|z),
IA(z)IS(0)4(G2+Ψ2)p2(1+Ω2τ2)exp(2|G|z).
Ψ=-pΩτΔk2G(1+Ω2τ2).
ρ[G(1+Ω2τ2)+pΩτ]2+{[Ψ-(Δk/2)](1+Ω2τ2)+p}2p2(1+Ω2τ2).
|GR|[(p|ΔkR|)/8]1/2
|GG|[(3p|ΔkG|)/8]1/2
ΔkRk0=-B2+sR2-θ02<0,
ΔkGk0=-θ02+sG2>0,
|GR|>|GG|,i.e.,|ΔkR|>3|ΔkG|.
L2=(3/4)sG2+(1/4)sR2-B2/4θ0 lim2-B2/4.

Metrics