Synthesis of integral transform solutions for the reconstruction of particle-size distributions from forward-scattered light
| Autor: | E. D. Hirleman, Joseph H. Koo |
|---|---|
| Rok vydání: | 2010 |
| Předmět: |
Diffraction
Forward scatter business.industry Materials Science (miscellaneous) Fredholm integral equation Integral transform Industrial and Manufacturing Engineering Light scattering Fraunhofer lines symbols.namesake Optics Inverse scattering problem symbols Scattering theory Business and International Management business Mathematics |
| Zdroj: | Applied optics. 31(12) |
| ISSN: | 1559-128X |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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