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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. 1, Iss. 8 — Aug. 1, 1984
  • pp: 822–830

Resonance component of backscattering by large dielectric spheres

J. R. Probert-Jones  »View Author Affiliations


JOSA A, Vol. 1, Issue 8, pp. 822-830 (1984)
http://dx.doi.org/10.1364/JOSAA.1.000822


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Abstract

Each spike that is observed in the backscattering from large dielectric spheres arises from just one term in the Mie series. By approximating the Ricatti–Bessel functions involved, one obtains expressions for the location and width of each spike. Every single spike can be allocated to just two patterns, which are described in terms of sequences of two integers and whose repetition period is a function only of the refractive index m. The physical process involved is shown to be a resonance inside the sphere of the electric or magnetic field, in which the appropriate field increases rapidly to a large value at a radial distance r/a ~ 1/m, whereas the other field remains small. As the sphere surface is approached, they combine to form a simple, spherical electromagnetic standing-wave pattern of large amplitude.

© 1984 Optical Society of America

History
Original Manuscript: July 7, 1983
Manuscript Accepted: January 23, 1984
Published: August 1, 1984

Citation
J. R. Probert-Jones, "Resonance component of backscattering by large dielectric spheres," J. Opt. Soc. Am. A 1, 822-830 (1984)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-1-8-822

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