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Applied Optics

Applied Optics


  • Vol. 19, Iss. 1 — Jan. 1, 1980
  • pp: 44–52

Raman and fluorescent scattering by molecules embedded in dielectric cylinders

H. Chew, D. D. Cooke, and M. Kerker  »View Author Affiliations

Applied Optics, Vol. 19, Issue 1, pp. 44-52 (1980)

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Fluorescent and Raman scattering by molecules embedded in dielectric particles is strongly dependent on the morphology and optical properties of the particle and the distribution of active molecules within the particle. In this paper, the formalism is derived for the case where the scattering molecules are embedded in an infinite dielectric cylinder. Analytical results for the scattered fields are given for arbitrary angles of incidence. The general results, which involve an integral and a sum, are rather lengthy. Accordingly, the saddle-point method has been used to carry out the integration approximately. Numerical results are given for perpendicular incidence and for observation in the plane perpendicular to the cylinder axis, for single dipoles variously located within the cylinder, and for a uniform distribution of isotropic incoherent dipoles. The angular distribution and polarization of the scattered irradiance depends sensitively upon cylinder radius and refractive index, so that this effect must be considered if inelastic scattering signals are to be used as a diagnostic tool.

© 1980 Optical Society of America

Original Manuscript: August 20, 1979
Published: January 1, 1980

H. Chew, D. D. Cooke, and M. Kerker, "Raman and fluorescent scattering by molecules embedded in dielectric cylinders," Appl. Opt. 19, 44-52 (1980)

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  1. E. S. Etz, G. J. Rosasco, J. J. Blaha, in Environmental Pollutants, T. Toribara et al., Eds. (Plenum, New York, 1978), pp. 413ff. [CrossRef]
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  11. C. T. Tai, Dyadic Green’s Functions in Electromagnetic Theory (Intext Publishers, Columbus, 1971). Our notation is the same as in this book, with minor modifications: Our η and ζ correspond to Tai’s ζ and η, respectively, and our wave numbers are denoted by k and k′ instead of k1 and k2. We also use lower-case instead of capital letters for the arguments of the dyadic Green’s functions.
  12. We are anticipating the use of the boundary conditions at ρ = a and have accordingly assumed that ρ > ρ′.
  13. M. Kerker, Scattering of Light and other Electromagnetic Radiation (Academic, New York, 1969).
  14. The details may be found in Ref. 11.

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