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Updated: Jan 26, 2026

Scattering And Absorption of Light in Planetary Regoliths
Published on: July 1, 2019
A novel phase function describing light scattering of layers containing colloidal nanospheres
Junxin Wang1, Changgang Xu, Annica M Nilsson
1Department of Engineering Sciences, The Ångström Laboratory, Uppsala University, PO Box 534, SE-75121 Uppsala, Sweden. Gunnar.Niklasson@angstrom.uu.se.
A new two-term Reynolds-McCormick (TTRM) phase function accurately describes light scattering patterns from polymer layers with sub-micron particles. This adaptable TTRM approach works for various particle types and scattering conditions, including single and multiple scattering.
Area of Science:
- Optics and Photonics
- Materials Science
- Computational Physics
Background:
- Light scattering from small particles shows unique angular distributions dependent on particle size, wavelength, and refractive index.
- Increased particle concentration leads to multiple scattering, complicating scattering pattern analysis and often requiring empirical phase functions.
Purpose of the Study:
- To measure and analyze the angle-dependent light scattering from polymer layers containing sub-micron metallic and dielectric particles.
- To evaluate the effectiveness of empirical phase functions in describing observed scattering patterns.
- To introduce and validate a novel two-term Reynolds-McCormick (TTRM) phase function for diverse scattering regimes.
Main Methods:
- Experimental measurement of angular light scattering from polymer layers with embedded sub-micron particles.
- Fitting experimental data to various empirical approximative phase functions.
- Numerical simulations of Mie single scattering phase functions for validation.
Main Results:
- Observed strongly forward and backward peaked scattering patterns from the polymer composite samples.
- The novel two-term Reynolds-McCormick (TTRM) phase function provided the best fit to the experimental data across all samples.
- The TTRM approach showed good agreement with Mie scattering simulations for Rayleigh to geometrical optics regimes.
Conclusions:
- The TTRM phase function is a highly adaptable and accurate model for describing angular scattering distributions.
- This approach is effective for various nanospheres and nanocomposites under both single and multiple scattering conditions.
- The TTRM method offers a robust alternative to empirical functions for analyzing complex light scattering phenomena.
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