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Related Concept Videos

Electromagnetic Fields01:30

Electromagnetic Fields

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Electric fields generated by static charges, often referred to as electrostatic fields, are characteristically different from electric fields created by time-varying magnetic fields. While the former is a conservative field, implying that no net work is done on a test charge if it goes around in a complete loop in the field, the latter is, by definition, not a conservative field; net work is done, and it is proportional to the rate of change of magnetic flux.
However, the observation of...
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Electromagnetic Wave Equation01:24

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Maxwell's equations for electromagnetic fields are related to source charges, either static or moving. These fields act on a test charge, whose trajectory can thus be determined using suitable boundary conditions. The objective of electromagnetism is thus theoretically complete.
However, although electric and magnetic fields were first introduced as mathematical constructs to simplify the description of mutual forces between charges, a natural question emerges from Maxwell's equations:...
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Plane Electromagnetic Waves II01:29

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Consider a plane wavefront traveling in position x-direction with a constant speed. This wavefront can be utilized to obtain the relationship between electric and magnetic fields with the help of Faraday's law.
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Electromagnetic Waves in Matter01:30

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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.
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Interaction of EM Radiation with Matter: Spectroscopy01:12

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Electromagnetic (EM) radiation can be considered an oscillating electric and magnetic field propagating through a medium that can interact with matter in its path. The electric field in the radiation can interact with electrical charges in the atoms or molecules in the matter. On the other hand, the magnetic field can interact with the magnetic field in the atomic nucleus. The study of the interaction between electromagnetic radiation and matter is termed spectroscopy. Spectroscopy is the study...
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Intensity Of Electromagnetic Waves01:22

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The energy transport per unit area per unit time, or the Poynting vector, gives the energy flux of an electromagnetic wave at any specific time. For a plane electromagnetic wave with E0 and B0 as the peak electric and magnetic fields and traveling along the x-axis, the time-varying energy flux can be given by the following equation:
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Scattering And Absorption of Light in Planetary Regoliths
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Introduction to electromagnetic scattering, part II: tutorial.

Fabrizio Frezza, Fabio Mangini, Nicola Tedeschi

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    This study presents generalized solutions for electromagnetic scattering by multiple simple shapes. It offers methods for analyzing scattering from various configurations of cylinders and spheres.

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    Area of Science:

    • Electromagnetics and Optics
    • Computational Physics
    • Wave Scattering Theory

    Background:

    • Electromagnetic scattering analysis is crucial for understanding wave interactions with matter.
    • Existing models often focus on single or simple configurations of scatterers.
    • Generalizing scattering solutions for complex and multiple object arrangements remains a challenge.

    Purpose of the Study:

    • To generalize electromagnetic scattering problems for elementary shapes.
    • To provide analytical solutions for scattering by multiple objects in various configurations.
    • To address scattering by specific arrangements including concentric and arbitrarily distributed objects.

    Main Methods:

    • Utilized vector harmonics to represent electromagnetic fields and their properties.
    • Applied these methods to solve five distinct scattering problems.
    • Developed numerical techniques to compute scattering characteristics.

    Main Results:

    • Successfully solved scattering problems for: infinitely long circular stratified cylinders, multilayered spheres, ensembles of parallel cylinders, ensembles of multi-spheres, and spheres embedded in cylinders.
    • Demonstrated the applicability of vector harmonics for complex scattering scenarios.
    • Presented numerical results for significant configurations, validating the proposed methods.

    Conclusions:

    • The vector harmonic approach provides a unified framework for solving generalized electromagnetic scattering problems.
    • The study offers effective solutions for scattering by multiple objects, enhancing predictive capabilities in electromagnetics.
    • The presented numerical results highlight the practical utility of the developed methods for complex systems.