Abstract

Temporally and spatially resolved measurements of stimulated Raman scattering from flowing ethanol droplets are presented. The observed temporal oscillations of stimulated Raman scattering from two segments of the droplet rim are 180° out of phase and dependent on the azimuthal mode number of the morphology-dependent resonance (MDR). The observed precession of the MDR about the symmetry axis of an oblate droplet is consistent with the angular momentum of the MDR, n, and with perturbation predictions of the frequency splitting of a (2n + 1)-degenerate MDR of a perfect sphere.

© 1993 Optical Society of America

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References

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1991

1990

1989

A. Biswas, H. Latifi, R. L. Armstrong, R. G. Pinnick, Phys. Rev. A 40, 7413 (1989).
[CrossRef] [PubMed]

1985

J. B. Snow, S.-X. Qian, R. K. Chang, Opt. Lett. 10, 37 (1985).
[CrossRef] [PubMed]

H.-M. Tzeng, M. B. Long, R. K. Chang, P. W. Barber, Opt. Lett. 10, 20 (1985).
[CrossRef]

1984

1964

T. D. Taylor, A. Acrivos, J. Fluid Mech. 18, 466 (1964).
[CrossRef]

Acrivos, A.

T. D. Taylor, A. Acrivos, J. Fluid Mech. 18, 466 (1964).
[CrossRef]

Armstrong, R. L.

A. Biswas, H. Latifi, R. L. Armstrong, R. G. Pinnick, Phys. Rev. A 40, 7413 (1989).
[CrossRef] [PubMed]

Arnold, S.

Barber, P. W.

G. Chen, R. K. Chang, S. C. Hill, P. W. Barber, Opt. Lett. 16, 1269 (1991).
[CrossRef] [PubMed]

H. M. Lai, P. T. Leung, K. Young, P. W. Barber, S. C. Hill, Phys. Rev. A 41, 5187 (1990).
[CrossRef] [PubMed]

H.-M. Tzeng, M. B. Long, R. K. Chang, P. W. Barber, Opt. Lett. 10, 20 (1985).
[CrossRef]

P. W. Barber, S. C. Hill, in Optical Particle Sizing:Theory and Practice, G. Gouesbet, G. Grehan, eds. (Plenum, New York, 1988), p. 43.

Benner, R. E.

S. C. Hill, R. E. Benner, in Optical Effects Associated With Small Particles, P. W. Barber, R. K. Chang, eds. (World Scientific, Singapore, 1988), pp. 3–61.

Biswas, A.

A. Biswas, H. Latifi, R. L. Armstrong, R. G. Pinnick, Phys. Rev. A 40, 7413 (1989).
[CrossRef] [PubMed]

Bohren, C. F.

C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).

Campillo, A. J.

Chang, R. K.

Chen, G.

Eversole, J. D.

Folan, L. M.

Hill, S. C.

G. Chen, R. K. Chang, S. C. Hill, P. W. Barber, Opt. Lett. 16, 1269 (1991).
[CrossRef] [PubMed]

H. M. Lai, P. T. Leung, K. Young, P. W. Barber, S. C. Hill, Phys. Rev. A 41, 5187 (1990).
[CrossRef] [PubMed]

P. W. Barber, S. C. Hill, in Optical Particle Sizing:Theory and Practice, G. Gouesbet, G. Grehan, eds. (Plenum, New York, 1988), p. 43.

S. C. Hill, R. E. Benner, in Optical Effects Associated With Small Particles, P. W. Barber, R. K. Chang, eds. (World Scientific, Singapore, 1988), pp. 3–61.

Huffman, D. R.

C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).

Huston, A. L.

Lai, H. M.

H. M. Lai, P. T. Leung, K. Young, P. W. Barber, S. C. Hill, Phys. Rev. A 41, 5187 (1990).
[CrossRef] [PubMed]

Latifi, H.

A. Biswas, H. Latifi, R. L. Armstrong, R. G. Pinnick, Phys. Rev. A 40, 7413 (1989).
[CrossRef] [PubMed]

Leung, P. T.

H. M. Lai, P. T. Leung, K. Young, P. W. Barber, S. C. Hill, Phys. Rev. A 41, 5187 (1990).
[CrossRef] [PubMed]

Lin, H.-B.

Long, M. B.

Pinnick, R. G.

A. Biswas, H. Latifi, R. L. Armstrong, R. G. Pinnick, Phys. Rev. A 40, 7413 (1989).
[CrossRef] [PubMed]

Qian, S.-X.

Snow, J. B.

Spock, D. E.

Taylor, T. D.

T. D. Taylor, A. Acrivos, J. Fluid Mech. 18, 466 (1964).
[CrossRef]

Tzeng, H.-M.

Wall, K. F.

Young, K.

H. M. Lai, P. T. Leung, K. Young, P. W. Barber, S. C. Hill, Phys. Rev. A 41, 5187 (1990).
[CrossRef] [PubMed]

Zhang, J. Z.

J. Fluid Mech.

T. D. Taylor, A. Acrivos, J. Fluid Mech. 18, 466 (1964).
[CrossRef]

J. Opt. Soc. Am. B

Opt. Lett.

Phys. Rev. A

A. Biswas, H. Latifi, R. L. Armstrong, R. G. Pinnick, Phys. Rev. A 40, 7413 (1989).
[CrossRef] [PubMed]

H. M. Lai, P. T. Leung, K. Young, P. W. Barber, S. C. Hill, Phys. Rev. A 41, 5187 (1990).
[CrossRef] [PubMed]

Other

C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).

S. C. Hill, R. E. Benner, in Optical Effects Associated With Small Particles, P. W. Barber, R. K. Chang, eds. (World Scientific, Singapore, 1988), pp. 3–61.

P. W. Barber, S. C. Hill, in Optical Particle Sizing:Theory and Practice, G. Gouesbet, G. Grehan, eds. (Plenum, New York, 1988), p. 43.

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Figures (3)

Fig. 1
Fig. 1

(a) Spherical droplet illuminated by a focused laser beam (shaped spot) propagating along the −x direction. The internally generated SRS circulates around the rim of the droplet in a great circle that has a normal inclined at θ. (b) Oblate droplet. The normal of the great ellipse precesses around the axisymmetric z axis at frequency Ω. The streak-camera entrance slit simultaneously detects the SRS leaking from two spots, P lower t and P upper t + t hp, of the rim at one side of the droplet.

Fig. 2
Fig. 2

Time profiles of (a) the incident-laser beam and (b)–(d) the SRS leakage from one side of the droplet. The incident-laser beam is centered (b) 40° below, (c) 30° below, and (d) on the equatorial plane.

Fig. 3
Fig. 3

Experimentally determined SRS precession frequencies (×) for six different input-laser beam inclination angles θ. Solid curve is the theoretical precession frequency for an oblate droplet with e = 0.007.

Equations (4)

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| ψ ( t ) = m c m exp [ i ω ( m ) t ] | m ,
ψ ( t ) | L + | ψ ( t ) = m m c m * c m × exp { i [ ω ( m ) ω ( m ) ] t } m | L + | m ,
ω ( m ) = ω o { 1 e 6 [ 1 3 m 2 n ( n + 1 ) ] } ,
Ω d ω d m = ω o | e | m n ( n + 1 ) ω o | e | n cos θ ω 0 | e | m ( ω ) x cos θ ,

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