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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. 17, Iss. 12 — Dec. 1, 2000
  • pp: 2229–2235

Inverse Mie problem

I. K. Ludlow and J. Everitt  »View Author Affiliations


JOSA A, Vol. 17, Issue 12, pp. 2229-2235 (2000)
http://dx.doi.org/10.1364/JOSAA.17.002229


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Abstract

We apply functional analysis to the scattered electromagnetic field of a particle with spherical symmetry to obtain a pair of integral transforms for converting the Mie-scattering amplitudes S(θ) and S(θ) into the Mie coefficients an and bn. In the case of a homogeneous sphere, a simple mathematical construction is derived that uniquely inverts the Mie coefficients to find the refractive index and the radius of the particle. A more general method for construction of the refractive-index profile of an arbitrary sphere is discussed that follows from the treatment of Newton and Sabatier.

© 2000 Optical Society of America

OCIS Codes
(290.3200) Scattering : Inverse scattering
(290.4020) Scattering : Mie theory

History
Original Manuscript: January 27, 2000
Revised Manuscript: July 10, 2000
Manuscript Accepted: August 7, 2000
Published: December 1, 2000

Citation
I. K. Ludlow and J. Everitt, "Inverse Mie problem," J. Opt. Soc. Am. A 17, 2229-2235 (2000)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-17-12-2229

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