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Constrained linear inversion of optical scattering data for particle size spectra: an approach to angular
Applied Optics
|April 15, 2010
Summary
This study presents a method to optimize optical scattering measurements for accurate particle size distribution retrieval. By analyzing inversion errors, optimal angles are identified to minimize errors in particle sizing for aerosols.
Area of Science:
- Atmospheric science
- Optical physics
- Data analysis
Background:
- Particle size distribution (PSD) is crucial for aerosol characterization.
- Retrieving accurate PSD from optical scattering data can be challenging due to inversion limitations.
Purpose of the Study:
- To develop a methodology for optimizing angular scanning parameters in optical scattering measurements for PSD retrieval.
- To minimize errors in PSD determination by identifying optimal measurement angles.
Main Methods:
- Investigated the variation of PSD retrieved from constrained linear inversion of optical scattering data.
- Derived an expression for expected inversion error at each radius knot.
- Formulated the Fredholm quadrature matrix using Legendre coefficients and polynomials.
Main Results:
- Identified optimal angular scanning parameters based on a minimum error criterion for each particle size.
- Developed a computational method advantageous for investigating numerous angles.
- Applied the methodology to a Junge Continental Aerosol model.
Conclusions:
- The presented methodology enables optimization of optical scattering measurements for improved PSD retrieval accuracy.
- The findings contribute to more reliable characterization of atmospheric aerosols.
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