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Scattering And Absorption of Light in Planetary Regoliths

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Light scattering by a reentrant fractal surface.

A Mendoza-Suárez, E R Méndez

|May 20, 1997

Summary

This study extends integral equation methods for light scattering to complex, multivalued surfaces. Researchers present the first rigorous calculations of light scattering from reentrant fractal surfaces using Koch curves.

Area of Science:

Optics and Photonics
Computational Physics
Materials Science

Background:

Light scattering analysis traditionally uses integral equations for single-valued surfaces.
Existing numerical methods are limited to surfaces representable by single-valued functions.
Complex surface profiles, like those with overhangs, require advanced modeling techniques.

Purpose of the Study:

To extend the integral equation method for light scattering to surfaces with multivalued profiles.
To develop a parametric description for complex surface geometries.
To perform rigorous light scattering calculations for fractal surfaces.

Main Methods:

Developed a parametric description procedure for multivalued surface profiles.
Established scattering equations within a new formalism for complex geometries.

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Applied the method to light scattering from fractal surfaces (triadic Koch curves).

Main Results:

Successfully extended integral equation methods to multivalued surface profiles.
Observed stationary scattering patterns for fractal surfaces beyond a certain prefractal order.
Achieved the first rigorous numerical calculations of light scattering from reentrant fractal surfaces.

Conclusions:

The extended integral equation method accurately models light scattering from complex, multivalued surfaces.
Fractal surfaces exhibit stable scattering characteristics at higher orders.
This work opens new avenues for studying wave scattering from fractal and reentrant structures.