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Related Concept Videos

Electrostatic Boundary Conditions in Dielectrics01:27

Electrostatic Boundary Conditions in Dielectrics

When an electric field passes from one homogeneous medium to another, crossing the boundary between the two mediums imparts a discontinuity in the electric field. This results in electrostatic boundary conditions that depend on the type of mediums the field propagates through.
Consider a case where both the mediums across a boundary are two different dielectric materials. Recall that the electric field and electric displacement are proportional and related through the material's permittivity.
Divergence and Curl of Magnetic Field01:26

Divergence and Curl of Magnetic Field

The magnetic field due to a volume current distribution given by the Biot–Savart Law can be expressed as follows:
Electromagnetic Waves in Matter01:30

Electromagnetic Waves in Matter

Electromagnetic waves can travel in the vacuum as well as in matter. For example light, which is an electromagnetic wave, can travel through air, water, or glass.
Consider the electromagnetic wave passing through a dielectric medium. In such a case, Maxwell's equations get modified. In Ampere's law, ε0 , the dielectric permittivity of free space is replaced with ε, the permittivity of dielectric. Also, the vacuum permeability μ0 is replaced by the permeability of the medium, μ.
Furthermore, the...
Divergence and Curl of Electric Field01:25

Divergence and Curl of Electric Field

The divergence of a vector is a measure of how much the vector spreads out (diverges) from a point. For example, an electric field vector diverges from the positive charge and converges at the negative charge. The divergence of an electric field is derived using Gauss's law and is equal to the charge density divided by the permittivity of space. Mathematically, it is expressed as
Electric Field of a Charged Disk01:23

Electric Field of a Charged Disk

The simplest case of a surface charge distribution is the uniformly charged disk. Calculating its electric field also helps us calculate the electric field of a large plane of charge.
The system's symmetry is in the cylindrical directions across the plane of the charge. As a result, the electric fields created by various surface charge elements nullify each other in the direction parallel to the surface. Thereby, the resulting electric field is perpendicular to the plane. Since the disk is...
Gauss's Law in Dielectrics01:17

Gauss's Law in Dielectrics

Consider a polar dielectric placed in an external field. In such a dielectric, opposite charges on adjacent dipoles neutralize each other, such that the net charge within the dielectric is zero. When a polar dielectric is inserted in between the capacitor plates, an electric field is generated due to the presence of net charges near the edge of the dielectric and the metal plates interface. Since the external electrical field merely aligns the dipoles, the dielectric as a whole is neutral. An...

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Updated: Jun 12, 2026

Scattering And Absorption of Light in Planetary Regoliths
11:34

Scattering And Absorption of Light in Planetary Regoliths

Published on: July 1, 2019

Electromagnetic scattering from a dielectric helix.

P Chiappetta, B Torresani

    Applied Optics
    |June 12, 2010
    PubMed
    Summary
    This summary is machine-generated.

    This study calculates scattering for dielectric helices using a discrete, multiple scattering model. Results match experimental microwave scattering data for right-handed helices.

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    Area of Science:

    • Electromagnetics and Optics
    • Computational Physics

    Background:

    • Dielectric helices exhibit unique scattering properties when dimensions approach radiation wavelengths.
    • Accurate theoretical models are needed to predict scattering behavior for such structures.

    Purpose of the Study:

    • To compute differential scattering cross sections for dielectric helices.
    • To validate a discrete, multiple scattering model against experimental data.

    Main Methods:

    • Utilized a discrete model for helix representation.
    • Employed a multiple scattering development (low energy model) for calculations.
    • Compared numerical results with experimental microwave scattering data.

    Main Results:

    • Successfully computed differential scattering cross sections for dielectric helices.
    • Demonstrated good agreement between computed and experimental scattering data.
    • Validated the low energy multiple scattering model for sub-wavelength dielectric structures.

    Conclusions:

    • The discrete multiple scattering model accurately predicts scattering cross sections for dielectric helices.
    • The model is suitable for analyzing electromagnetic wave interaction with dielectric structures of comparable dimensions to the wavelength.