Abstract

The work of the previous paper is extended to consider the effect upon coherent processes of embedment of inelastic scattering molecules within small dielectric spheres. In this case the scattered radiation field is obtained in analytic form by integrating the earlier result over the particle. Unlike the case for noncoherent inelastic processes, the scattering diagrams resemble qualitatively the main features of Lorenz-Mie scattering. The implications for developing coherent Raman techniques for diagnostic purposes are clear. Quantitative chemical analysis can only be carried out if the refractive index, the ratio of particle size to exciting and emitting wavelengths, and the scattering angle are specified.

© 1979 Optical Society of America

PDF Article

References

  • View by:
  • |
  • |

  1. M. Kerker, P. J. McNulty, M. Sculley, H. Chew, and D. D. Cooke (unpublished).
  2. H. Chew, P. McNulty, and M. Kerker, Phys. Rev. A 13, 396 (1976).
  3. M. D. Levenson, Phys. Today 30, 44 (1977).
  4. Only the magnetic field needs to be written out since in the wave zone E = B × r.
  5. A. R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton U.P., Princeton, N.J., 1957).
  6. Handbook of Mathematical Functions, edited by M. Abramowitz and I. Stegun (Natl. Bur. of Stand., U.S. GPO, Washington, D.C. 1965).
  7. Actually, the difference would also be seen by noting that in the Mie case, there are two fields outside the particle (the incident and the scattered) and one (internal) field inside. At the shifted frequency in our model, there is one field outside (the scattered field) and two fields inside (the dipole field plus an induced field needed to satisfy the boundary conditions. Upon matching the relevant components of the fields at the particle boundary, naturally different scattered fields are obtained.

Chew, H.

M. Kerker, P. J. McNulty, M. Sculley, H. Chew, and D. D. Cooke (unpublished).

H. Chew, P. McNulty, and M. Kerker, Phys. Rev. A 13, 396 (1976).

Cooke, D. D.

M. Kerker, P. J. McNulty, M. Sculley, H. Chew, and D. D. Cooke (unpublished).

Edmonds, A. R.

A. R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton U.P., Princeton, N.J., 1957).

Kerker, M.

M. Kerker, P. J. McNulty, M. Sculley, H. Chew, and D. D. Cooke (unpublished).

H. Chew, P. McNulty, and M. Kerker, Phys. Rev. A 13, 396 (1976).

Levenson, M. D.

M. D. Levenson, Phys. Today 30, 44 (1977).

McNulty, P.

H. Chew, P. McNulty, and M. Kerker, Phys. Rev. A 13, 396 (1976).

McNulty, P. J.

M. Kerker, P. J. McNulty, M. Sculley, H. Chew, and D. D. Cooke (unpublished).

Sculley, M.

M. Kerker, P. J. McNulty, M. Sculley, H. Chew, and D. D. Cooke (unpublished).

Other (7)

M. Kerker, P. J. McNulty, M. Sculley, H. Chew, and D. D. Cooke (unpublished).

H. Chew, P. McNulty, and M. Kerker, Phys. Rev. A 13, 396 (1976).

M. D. Levenson, Phys. Today 30, 44 (1977).

Only the magnetic field needs to be written out since in the wave zone E = B × r.

A. R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton U.P., Princeton, N.J., 1957).

Handbook of Mathematical Functions, edited by M. Abramowitz and I. Stegun (Natl. Bur. of Stand., U.S. GPO, Washington, D.C. 1965).

Actually, the difference would also be seen by noting that in the Mie case, there are two fields outside the particle (the incident and the scattered) and one (internal) field inside. At the shifted frequency in our model, there is one field outside (the scattered field) and two fields inside (the dipole field plus an induced field needed to satisfy the boundary conditions. Upon matching the relevant components of the fields at the particle boundary, naturally different scattered fields are obtained.

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.