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Updated: May 5, 2026
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Scattering And Absorption of Light in Planetary Regoliths
Published on: July 1, 2019
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Absorption and scattering by long and randomly oriented linear chains of spheres
Summary
Scattering and absorption cross sections of sphere chains approximate infinite cylinders as sphere count rises. This approximation holds for absorption but not for angle-dependent scattering matrix elements.
Area of Science:
- Light scattering and absorption by particulate matter.
- Computational electromagnetics and optical physics.
- Modeling of electromagnetic wave interactions with matter.
Background:
- Linear chains of spheres are common in natural and synthetic systems.
- Understanding their optical properties is crucial for various applications.
- Approximating complex structures with simpler models aids analysis.
Purpose of the Study:
- To investigate the optical properties of linear chains of optically soft spheres.
- To determine the conditions under which these chains can be approximated by infinite cylinders.
- To analyze the validity of this approximation for scattering and absorption cross sections.
Main Methods:
- Numerical simulations of light scattering and absorption.
- Analysis of scattering cross section per unit length.
- Comparison of results for chains of spheres with volume-equivalent cylinders.
Main Results:
- Scattering cross section per unit length of sphere chains asymptotically converges to that of infinite cylinders.
- The number of spheres required for this approximation decreases with increasing sphere size parameter.
- Absorption cross section per unit length is identical to that of volume-equivalent cylinders for any number of spheres.
- The approximation fails for angle-dependent normalized Stokes scattering matrix element ratios.
Conclusions:
- Linear chains of optically soft spheres can be effectively modeled as infinite cylinders for their scattering and absorption cross sections under certain conditions.
- The accuracy of the cylinder approximation improves with larger individual sphere sizes and higher sphere counts.
- This simplification is valuable for theoretical and computational studies of light interaction with chain-like structures, excluding detailed angular scattering behavior.
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