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Related Concept Videos

Calculation of Electric Flux01:25

Calculation of Electric Flux

Consider the electric field of an oppositely charged, parallel-plate system and an imaginary box between those plates. Let the bottom face of the box be ABCD, and the top face be FGHK. The electric field between the plates is uniform and points from the positive plate toward the negative plate. The calculation of this field's flux through the box's various faces shows that the net flux through the box is zero. Why does the flux cancel out here?
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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.
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Gauss's Law: Spherical Symmetry

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Related Experiment Video

Updated: Jun 6, 2026

Scattering And Absorption of Light in Planetary Regoliths
11:34

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Published on: July 1, 2019

Edge contribution to forward scattering by spheres.

H F van den Bosch, K J Ptasinski, P J Kerkhof

    Applied Optics
    |November 19, 2010
    PubMed
    Summary

    New edge functions (T1 and T2) improve approximations for calculating light scattering by spheres. These functions enhance methods for predicting forward-scattering patterns across various conditions.

    Area of Science:

    • Electromagnetic theory
    • Light scattering physics
    • Optical phenomena

    Background:

    • Accurate calculation of light scattering is crucial in optics.
    • Approximation methods are often used for computational efficiency.
    • Existing methods may lack precision for certain scattering regimes.

    Purpose of the Study:

    • To derive novel edge functions (T1 and T2) from the exact Mie solution.
    • To enhance approximation methods for forward scattering by spheres.
    • To cover a wide range of refractive indices and size parameters.

    Main Methods:

    • Derivation of edge functions T1 and T2 from the Mie solution.
    • Analysis across all relative refractive indices.
    • Consideration of the size parameter range 64 < x < 2048.

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  • Application of asymptotic approximation for m close to 1.
  • Utilization of geometrical and physical optics approximations for glory rays.
  • Main Results:

    • Edge functions T1 and T2 accurately describe polarization-dependent edge contributions.
    • Significant improvement in approximation methods for forward-scattering patterns.
    • Geometrical and physical optics equations are derivable from the asymptotic approximation.
    • Validated across a broad spectrum of optical properties and sphere sizes.

    Conclusions:

    • The derived edge functions offer a more precise approach to modeling light scattering.
    • Enhanced approximation techniques facilitate more accurate predictions of forward scattering.
    • Provides a unified framework connecting exact solutions with approximate methods in scattering theory.