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Scattering And Absorption of Light in Planetary Regoliths
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    This paper introduces electromagnetic scattering, defining key concepts like cross sections and vector harmonics. It demonstrates how vector wave functions simplify solving boundary conditions for scattering by cylinders and spheres.

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    Area of Science:

    • Physics
    • Electromagnetism
    • Wave Phenomena

    Background:

    • Electromagnetic scattering is a fundamental phenomenon with broad applications.
    • Understanding scattering requires foundational concepts like cross sections and wave functions.
    • Canonical scattering problems provide essential benchmarks for theoretical models.

    Purpose of the Study:

    • To provide a foundational introduction to electromagnetic scattering.
    • To define and explain key concepts such as scattering, absorption, and extinction cross sections.
    • To illustrate the utility of vector harmonics and wave functions in solving scattering problems.

    Main Methods:

    • Introduction to fundamental electromagnetic scattering concepts.
    • Definition and properties of vector harmonics.
    • Analytical solution of scattering by a circular cylinder and a sphere.

    Main Results:

    • Established definitions for scattering, absorption, and extinction cross sections.
    • Presented properties of vector harmonics.
    • Demonstrated the simplified imposition and solution of boundary conditions using vector wave functions for canonical scattering geometries.

    Conclusions:

    • Vector wave functions offer a powerful and simplified approach to solving electromagnetic scattering problems.
    • The presented methods are applicable to canonical scattering scenarios like cylinders and spheres.
    • This work serves as an accessible introduction to the principles of electromagnetic scattering.