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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.
Susceptibility, Permittivity and Dielectric Constant01:26

Susceptibility, Permittivity and Dielectric Constant

When placed in an external electric field, a dielectric material gets polarized. The charge density in the dielectric material is given by the sum of the bound and free charge densities, while the total charge density can also be written in terms of the total electric field. The bound charge density can be measured in terms of polarization, leading to the relationship between electric displacement and polarization.
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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Dielectric Polarization in a Capacitor

The presence of a dielectric medium in a capacitor not only changes the voltage and capacitance but also affects the electric field. In general, dielectrics can be of two types: polar and nonpolar. In a polar dielectric, the positive and negative charges in the molecules are separated by a distance and hence have a permanent dipole moment. In contrast, no such charge separation exists in a nonpolar dielectric, however the nonpolar molecules get polarized in the presence of an external electric...
Calculations of Electric Potential II01:27

Calculations of Electric Potential II

An electric dipole is a system of two equal but opposite charges, separated by a fixed distance. This system is used to model many real-world systems, including atomic and molecular interactions. One of these systems is the water molecule, but only under certain circumstances. These circumstances are met inside a microwave oven, where electric fields with alternating directions make the water molecules change orientation. This vibration is equivalent to heat at the molecular level.
Consider a...
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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

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Scattering And Absorption of Light in Planetary Regoliths
11:34

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Published on: July 1, 2019

An efficient iterative algorithm for computation of scattering from dielectric objects.

Shaolin Liao1, N Gopalsami, A Venugopal

  • 1Argonne National Laboratory, Argonne, Illinois 60439, USA. sliao@anl.gov

Optics Express
|March 4, 2011
PubMed
Summary
This summary is machine-generated.

An efficient iterative algorithm accurately simulates electromagnetic scattering from dielectric objects. This method handles complex surfaces and provides accurate radiation pattern predictions for dielectric lenses.

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Area of Science:

  • Electromagnetics
  • Computational Physics
  • Applied Mathematics

Background:

  • Accurate simulation of electromagnetic scattering is crucial for designing antennas and optical components.
  • Existing methods may struggle with complex geometries or require significant computational resources.

Purpose of the Study:

  • To develop an efficient iterative algorithm for simulating electromagnetic scattering from arbitrary dielectric objects.
  • To analyze the convergence properties of the algorithm for various dielectric structures.
  • To validate the algorithm's performance against established methods like Geometrical Optics.

Main Methods:

  • Developed an iterative algorithm that adapts equivalent surface currents to satisfy electromagnetic boundary conditions.
  • Analyzed theoretical convergence using plane wave scattering from semi-infinite and finite dielectric slabs.
  • Simulated scattering from a sinusoidally-perturbed dielectric slab and a dielectric lens with feed antenna offsets.

Main Results:

  • The iterative algorithm demonstrated convergence for both smooth and sinusoidally-perturbed dielectric surfaces.
  • Simulations of a dielectric lens showed accurate prediction of radiation pattern shifts due to feed antenna displacement.
  • Results were compared favorably with predictions from Geometrical Optics.

Conclusions:

  • The developed iterative algorithm is efficient and accurate for simulating electromagnetic scattering from diverse dielectric objects.
  • The method shows promise for analyzing complex scattering phenomena and optimizing electromagnetic device performance.
  • This approach offers a robust alternative for electromagnetic scattering simulations, particularly for non-smooth surfaces.