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Related Concept Videos

Gravity between Spherical Bodies01:27

Gravity between Spherical Bodies

Newton's law of gravitation describes the gravitational force between any two point masses. However, for extended spherical objects like the Earth, the Moon, and other planets, the law holds with an assumption that masses of spherical objects are concentrated at their respective centers.
This assumption can be proved easily by showing that the expression for gravitational potential energy between a hollow sphere of mass (M) and a point mass (m) is the same as it would be for a pair of extended...
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A charge distribution has spherical symmetry if the density of charge depends only on the distance from a point in space and not on the direction. In other words, if the system is rotated, it doesn't look different. For instance, if a sphere of radius R is uniformly charged with charge density ρ0, then the distribution has spherical symmetry. On the other hand, if a sphere of radius R is charged so that the top half of the sphere has a uniform charge density ρ1 and the bottom half has a uniform...
Electric Field of a Non Uniformly Charged Sphere01:22

Electric Field of a Non Uniformly Charged Sphere

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Scattering And Absorption of Light in Planetary Regoliths
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Published on: July 1, 2019

Light scattering by a multilayer sphere.

B R Johnson

    Applied Optics
    |November 25, 2010
    PubMed
    Summary
    This summary is machine-generated.

    This study extends a recurrence algorithm to calculate electromagnetic scattering, internal fields, and absorption cross sections for multilayer spheres. The enhanced method provides detailed analysis for complex spherical structures.

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    Area of Science:

    • Electromagnetic theory
    • Computational physics
    • Wave propagation

    Background:

    • Electromagnetic scattering from multilayer spheres is crucial in various applications.
    • Previous recurrence algorithms efficiently calculated scattering but lacked internal field and absorption details.
    • Accurate modeling of complex spherical geometries is computationally challenging.

    Purpose of the Study:

    • To modify and extend the Wu and Wang recurrence algorithm for electromagnetic scattering.
    • To incorporate calculations for internal electric fields within each layer.
    • To determine the absorption cross sections of individual layers in multilayer spheres.

    Main Methods:

    • A modified recurrence algorithm propagates log derivatives of Debye potentials outward.
    • An inward recurrence procedure calculates Debye potentials from the outer layer to the core.
    • A parallel algorithm computes absorption cross sections for concentric spheres.

    Main Results:

    • The extended algorithm successfully calculates both scattering and internal fields.
    • Absorption cross sections for individual layers are accurately determined.
    • Example calculations demonstrate the algorithm's efficacy, including for a Luneburg lens.

    Conclusions:

    • The enhanced recurrence algorithm provides a comprehensive tool for analyzing electromagnetic interactions with multilayer spheres.
    • This method facilitates detailed investigation of internal fields and energy absorption.
    • The approach is validated through diverse computational examples.