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Updated: May 30, 2026

Scattering And Absorption of Light in Planetary Regoliths
Published on: July 1, 2019
Light scattering from an isotropic layer between uniaxial crystals.
E S Thomson1, L A Wilen, J S Wettlaufer
1Department of Geology and Geophysics, Yale University, New Haven, CT 06520, USA.
We developed a model for wave reflection and transmission between isotropic layers and anisotropic crystals. This provides explicit coefficients for wave interactions in complex layered media, crucial for optical and material science applications.
Area of Science:
- Physics
- Materials Science
- Optics
Background:
- Wave propagation in layered media is fundamental to optics and material science.
- Modeling interactions between isotropic and anisotropic materials presents unique challenges.
- Previous work has addressed isotropic-to-anisotropic interfaces but not the general case.
Purpose of the Study:
- To develop a comprehensive model for plane wave reflection and transmission.
- To analyze systems with an isotropic layer between two arbitrarily oriented uniaxial crystals.
- To provide explicit formulas for reflection and transmission coefficients.
Main Methods:
- Derivation of reflection and transmission amplitude coefficients for anisotropic-to-isotropic interfaces.
- Integration with existing models for isotropic-to-anisotropic interfaces.
- Application of a matrix method to solve the multiple reflection problem.
Main Results:
- Explicit expressions for reflection and transmission coefficients in the laboratory frame.
- Formulas are dependent on crystal axis and propagation directions.
- A general solution for multiple reflections in layered anisotropic-isotropic systems.
Conclusions:
- The developed model successfully describes wave interactions in complex layered anisotropic-isotropic systems.
- The findings are applicable to various scientific and engineering fields, including optics and condensed matter physics.
- The model is contextualized with a wetted ice crystal interface example.
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