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Estimation of optical constants from multiple-scattered light using approximations for single particle scattering
Maria A Velazco-Roa1, Suresh N Thennadil
1School of Chemical Engineering and Advanced Materials, University of Newcastle upon Tyne, Newcastle upon Tyne, NE7 7SR, UK.
This study speeds up optical constant calculations by approximating single particle characteristics. Combining exact Mie theory with the Henyey-Greenstein phase function approximation offers the best balance of speed and accuracy.
Area of Science:
- Optics
- Materials Science
- Computational Physics
Background:
- Optical constant determination from multiple-scattered light is computationally demanding.
- Calculating single particle characteristics (cross sections, anisotropy, phase function) is a major bottleneck.
Purpose of the Study:
- To investigate approximations for computing single particle characteristics.
- To significantly accelerate optical constant inversion calculations without sacrificing accuracy.
Main Methods:
- Evaluated approximations for absorption and scattering cross sections, anisotropy factor, and phase function.
- Used spherical polystyrene and poly(methyl methacrylate) particle suspensions.
- Compared exact Mie theory calculations with approximations like Henyey-Greenstein.
Main Results:
- The combination of exact Mie theory for cross sections/anisotropy and Henyey-Greenstein for the phase function provided optimal results.
- Approximation accuracy is sensitive to the phase function's behavior at small scattering angles.
Conclusions:
- Approximating the phase function using Henyey-Greenstein alongside exact Mie theory for other parameters significantly speeds up optical constant inversion.
- Minimizing phase function errors at small angles is crucial for accurate optical constant determination.
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