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Related Concept Videos

Gauss's Law: Spherical Symmetry01:26

Gauss's Law: Spherical Symmetry

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...
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...
Electric Field of a Non Uniformly Charged Sphere01:22

Electric Field of a Non Uniformly Charged Sphere

Gauss's law states that the electric flux through any closed surface equals the net charge enclosed within the surface. This law is beneficial for determining the expressions for the electric field for a particular charge distribution if the electric flux is known.
Consider a non-uniformly charged sphere, for which the density of charge depends only on the distance from a point in space and not on the direction. Such a sphere has a spherically symmetrical charge distribution. Here, the electric...
Gravitation Between Spherically Symmetric Masses01:14

Gravitation Between Spherically Symmetric Masses

The gravitational potential energy between two spherically symmetric bodies can be calculated from the masses and the distance between the bodies, assuming that the center of mass is concentrated at the respective centers of the bodies.
Gauss's Law: Cylindrical Symmetry01:20

Gauss's Law: Cylindrical Symmetry

A charge distribution has cylindrical symmetry if the charge density depends only upon the distance from the axis of the cylinder and does not vary along the axis or with the direction about the axis. In other words, if a system varies if it is rotated around the axis or shifted along the axis, it does not have cylindrical symmetry. In real systems, we do not have infinite cylinders; however, if the cylindrical object is considerably longer than the radius from it that we are interested in,...
Collisions in Multiple Dimensions: Introduction01:05

Collisions in Multiple Dimensions: Introduction

It is far more common for collisions to occur in two dimensions; that is, the initial velocity vectors are neither parallel nor antiparallel to each other. Let's see what complications arise from this. The first idea is that momentum is a vector. Like all vectors, it can be expressed as a sum of perpendicular components (usually, though not always, an x-component and a y-component, and a z-component if necessary). Thus, when the statement of conservation of momentum is written for a problem,...

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Updated: Jun 15, 2026

Scattering And Absorption of Light in Planetary Regoliths
11:34

Scattering And Absorption of Light in Planetary Regoliths

Published on: July 1, 2019

Scattering by inhomogeneous nonspherical objects.

D S Wang, P W Barber

    Applied Optics
    |March 9, 2010
    PubMed
    Summary
    This summary is machine-generated.

    The extended boundary condition method reveals that internal structure significantly alters electromagnetic scattering by layered objects. Backscattering cross sections are particularly sensitive to structural and shape variations in models like melting hailstones.

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    Area of Science:

    • Computational Electromagnetics
    • Dielectric Scattering
    • 3-D Electromagnetic Scattering

    Background:

    • Electromagnetic scattering from complex, multilayered dielectric objects presents significant computational challenges.
    • Understanding scattering properties is crucial for applications in remote sensing, material characterization, and biological particle analysis.

    Purpose of the Study:

    • To apply the extended boundary condition method (EBCM) to analyze 3-D electromagnetic scattering from multilayered dielectric objects.
    • To investigate the impact of internal structure on scattering characteristics using bacteria-like and melting hailstone models.

    Main Methods:

    • Theoretical formulation and numerical implementation of the extended boundary condition method for multilayered objects.
    • Angular scattering calculations for layered prolate spheroids and oblate spheroids.
    • Analysis of scattering, absorption, extinction, and backscattering cross sections.

    Main Results:

    • Internal structure of layered objects causes significant differences in angular scattering characteristics compared to homogeneous models.
    • The backscattering cross section of a melting hailstone model is highly sensitive to changes in shape and size.
    • Layered models exhibit distinct scattering patterns influenced by their internal composition and geometry.

    Conclusions:

    • The EBCM is effective for analyzing electromagnetic scattering from complex multilayered dielectric structures.
    • Internal layering and structural variations play a critical role in determining scattering properties, especially backscattering.
    • The study highlights the importance of considering detailed internal structure for accurate electromagnetic scattering predictions.