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Scattering And Absorption of Light in Planetary Regoliths

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Multiple scattering by a planar array of parallel dielectric cylinders.

S J Bever, J P Allebach

|August 21, 2010

Summary

This study presents a new nonlinear programming method to solve multiple-scattering problems for arrays of dielectric cylinders. The approach successfully models complex scattering phenomena in configurations with more than two cylinders.

Area of Science:

Electromagnetics
Wave propagation
Computational physics

Background:

Multiple-scattering phenomena are crucial in understanding wave interactions with complex structures.
Previous studies were limited to analyzing scattering from at most two parallel dielectric cylinders.
Efficient computational methods are needed for analyzing scattering from larger cylinder arrays.

Purpose of the Study:

To develop and present a nonlinear programming approach for solving the multiple-scattering matrix for arbitrary planar arrays of parallel dielectric cylinders.
To extend the analysis of multiple scattering beyond two cylinders to larger, more complex configurations.
To investigate the scattering behavior of multiple dielectric cylinders under different illumination conditions.

Main Methods:

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A nonlinear programming approach was employed to calculate the multiple-scattering matrix.
Numerical simulations were performed for arrays of parallel dielectric cylinders.
Plane-wave illumination perpendicular to the cylinder axes was used, considering both end-on and broadside incidence.

Main Results:

The method successfully computed scattering for arrays of four and eight parallel dielectric cylinders.
For four abutting cylinders with end-on illumination, internal resonance features were observed to be damped.
For eight unequally spaced cylinders with broadside illumination, incident energy was spread evenly due to cylinder coupling.

Conclusions:

The nonlinear programming approach is effective for solving multiple-scattering problems involving N parallel dielectric cylinders.
The study demonstrates novel insights into the scattering behavior of larger cylinder arrays, revealing phenomena like energy spreading.
This work provides a foundation for further research into complex wave-matter interactions in multi-cylinder systems.