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Updated: Jun 6, 2026

Scattering And Absorption of Light in Planetary Regoliths

Scattering And Absorption of Light in Planetary Regoliths

Published on: July 1, 2019

Geometric-optics-integral-equation method for light scattering by nonspherical ice crystals.

P Yang, K N Liou

|December 4, 2010

Summary

A new geometric-optics model accurately calculates light scattering by ice crystals. This method bridges the gap between existing models for small and large ice crystal sizes.

Area of Science:

Atmospheric optics
Computational physics
Light scattering

Background:

Accurate modeling of light scattering by ice crystals is crucial for understanding atmospheric radiative transfer.
Existing methods have limitations for certain crystal sizes, creating a gap in applicability.

Purpose of the Study:

To develop a novel geometric-optics model for calculating single-scattering and polarization properties of arbitrarily oriented hexagonal ice crystals.
To bridge the gap between conventional ray-tracing and exact numerical methods for various ice crystal size parameters.

Main Methods:

Employs a ray-tracing technique to solve for near-field interactions on the ice crystal surface.
Utilizes the electromagnetic equivalence theorem to transform near-field solutions to the far field.

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Validates results against the finite-difference time domain (FDTD) method.

Main Results:

The model accurately computes extinction cross-section and single-scattering albedo for ice crystals with minimum dimension size parameters as small as ~6.
Good agreement for the phase function is achieved for size parameters larger than ~20.
Demonstrates convergence to conventional ray-tracing for large size parameters and agreement with FDTD for smaller parameters (< ~20).

Conclusions:

The developed geometric-optics model effectively calculates scattering properties for a wide range of ice crystal sizes.
This new method provides a unified approach, overcoming limitations of previous models.
The model serves as a crucial link between different computational methods in atmospheric optics.