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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 31, Iss. 12 — Apr. 20, 1992
  • pp: 2130–2140

Synthesis of integral transform solutions for the reconstruction of particle-size distributions from forward-scattered light

Joseph H. Koo and E. Dan Hirleman  »View Author Affiliations


Applied Optics, Vol. 31, Issue 12, pp. 2130-2140 (1992)
http://dx.doi.org/10.1364/AO.31.002130


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Abstract

Five integral transform solutions to the Fredholm integral equation that describes the forward-scattering properties of the distributions of spherical particles in the Fraunhofer diffraction regime have been studied. We have systematically reformulated the family of solutions, including four derivations by three other research groups and one developed as part of this work, using a standardized notation. This synthesis elucidates the mathematical interrelationships and fosters an understanding of the inversion performance of the five solutions. Finally a series of numerical experiments was carried out to demonstrate the relative performance of the techniques when applied to identical sets of simulated forward-scattering signatures.

© 1992 Optical Society of America

History
Original Manuscript: April 1, 1991
Published: April 20, 1992

Citation
Joseph H. Koo and E. Dan Hirleman, "Synthesis of integral transform solutions for the reconstruction of particle-size distributions from forward-scattered light," Appl. Opt. 31, 2130-2140 (1992)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-31-12-2130

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