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Applied Optics

Applied Optics


  • Vol. 20, Iss. 3 — Feb. 1, 1981
  • pp: 493–499

Deconvolution technique for line-of-sight optical scattering measurements in axisymmetric sprays

Dean C. Hammond, Jr.  »View Author Affiliations

Applied Optics, Vol. 20, Issue 3, pp. 493-499 (1981)

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A procedure has been developed for deconvoluting line-of-sight average measurements of droplet-size distribution and optical extinction into the actual radial variations of droplet-size distribution and droplet number density in axisymmetric sprays. Preconditioning the line-of-sight average data via spline smoothing was shown to be necessary to prevent a complete loss of accuracy in the central region of the spray. After preconditioning, uncertainties in the average data propagated about 1:1 into the deconvoluted results. Cumulative truncation errors for a worst-case analysis approached 15% in the central region of the spray. A sample analysis for a typical hollow-cone spray is presented.

© 1981 Optical Society of America

Original Manuscript: July 7, 1980
Published: February 1, 1981

Dean C. Hammond, "Deconvolution technique for line-of-sight optical scattering measurements in axisymmetric sprays," Appl. Opt. 20, 493-499 (1981)

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  1. J. Swithenbank et al., “A Laser Diagnostic Technique for the Measurement of Droplet and Particle Size Distribution,” in Experimental Diagnostics in Gas Phase Combustion Systems, Progress in Astronautics and Aeronautics (AIAA, New York, 1976), Vol. 53, pp. 421–447.
  2. R. A. Dobbins, G. S. Jizmagian, J. Opt. Soc. Am. 56, 1345 (1966). [CrossRef]
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  4. R. S. Anderssen, F. R. deHoog, “Application and Numerical Solution of Abel-Type Integral Equations,” Division of Mathematics and Statistics, Commonwealth Scientific and Industrial Research Organization, Australia, unpublished manuscript.
  5. C. H. Reinsch, Numer. Math. 10, 177 (1967). [CrossRef]

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