- Author
- Koo, J. H. | Hirleman, E. D.
- Title
- Comparative Study of Laser Diffraction Analysis Using Integral Transform Techniques: Factors Affecting the Reconstruction of Droplet Size Distributions.
- Coporate
- Arizona State Univ., Tempe, AZ
- Report
- WSCI-86-18,
- Contract
- AFOSR-84-0187
- Book or Conf
- Combustion Institute/Canadian and Western States Section. Spring Meeting, 1986. April 27-30, 1986., Banff, Alberta, Canada, 1-48 p., 1986
- Keywords
- lasers
- Abstract
- A series of numerical experiments were performed in the reconstruction of droplet size distributions from near-forward, small-angle scattering data. The scattering data was calculated from analytical functions using Fraunhofer diffraction theory (direct problem). This data which simulated experimental scattering measurements was inverted by four integral transform techniques (inverse problem). The accuracy and stability of the Chin, Shifrin-Kolmakov I, Shifrin-Kolmakov II and modified Petrov techniques were evaluated under identical conditions. Detailed parametric studies were performed to evaluate the sensitivity of the major factors affecting the reconstruction of the droplet size distributions. Six major factors are identified as (1) maximum scattering angle, (2) minimum scattering angle, (3) angular resolution, (4) numerical integration and differentiation techniques, (5) noise level, and (6) out of range droplets. Techniques were applied on annular photodiode array detectors to reconstruct droplet size distributions. Error analyses were performed based on chi-squared, goodness of fit and correlation coefficients tests. Results indicated the integral transform techniques are vital and can be used for inversion of real observed scttering measurements.