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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 19, Iss. 1 — Jan. 1, 2002
  • pp: 122–125

Patterns in the ripple structure of Mie scattering

Christopher M. Sorensen and Dan Shi  »View Author Affiliations


JOSA A, Vol. 19, Issue 1, pp. 122-125 (2002)
http://dx.doi.org/10.1364/JOSAA.19.000122


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Abstract

We study the ripple structure in the scattered intensity predicted by Mie scattering theory in the angular behavior of the scattered intensity for homogeneous, dielectric spheres. We find that for small values of the phase shift parameter ρ=2kR|m-1|, where k=2π/λ,R is the sphere radius, and m is the relative refractive index, the ripples are periodic with spacing equal to π when plotted versus the dimensionless qR, where q=2k sin(θ/2) and θ is the scattering angle. However, as ρ increases, this outcome switches to nonuniform spacing of approximately π cos(θ/2). The latter spacing is equivalent to a uniform spacing of π/kR when plotted versus θ.

© 2002 Optical Society of America

OCIS Codes
(290.4020) Scattering : Mie theory
(290.5850) Scattering : Scattering, particles

History
Original Manuscript: January 31, 2001
Revised Manuscript: May 8, 2001
Manuscript Accepted: May 8, 2001
Published: January 1, 2002

Citation
Christopher M. Sorensen and Dan Shi, "Patterns in the ripple structure of Mie scattering," J. Opt. Soc. Am. A 19, 122-125 (2002)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-19-1-122


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References

  1. G. Mie, “Beitrage zur Optik trüber Medien speziel kolloidaler Metallösungen,” Ann. Phys. 25, 377–445 (1908). [CrossRef]
  2. H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1981).
  3. M. Kerker, The Scattering of Light and other Electromagnetic Radiation (Academic, New York, 1969).
  4. C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).
  5. C. M. Sorensen, D. J. Fischbach, “Patterns in Mie scattering,” Opt. Commun. 173, 145–153 (2000). [CrossRef]
  6. A. Guinier, G. Gournet, C. B. Walker, K. L. Yudowitch, Small Angle Scattering of X-Rays (Wiley, New York, 1955).
  7. S. H. Maron, M. E. Elder, “Determination of latex particle size by light scattering I. Minimum intensity method,” J. Colloid Sci. 18, 107–118 (1963). [CrossRef]
  8. P. E. Pierce, S. H. Maron, “Prediction of minima and maxima in intensities of scattered light and of higher order Tyndall spectra,” J. Colloid Sci. 19, 658–672 (1964). [CrossRef]
  9. M. Kerker, W. A. Farone, L. B. Smith, E. Matijevic, “Determination of particle size by the minima and maxima in the angular dependence of the scattered light. Range of validity of the method,” J. Colloid Sci. 19, 193–200 (1964). [CrossRef]

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