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Related Concept Videos

Symmetry in Maxwell's Equations01:28

Symmetry in Maxwell's Equations

Once the fields have been calculated using Maxwell's four equations, the Lorentz force equation gives the force that the fields exert on a charged particle moving with a certain velocity. The Lorentz force equation combines the force of the electric field and of the magnetic field on the moving charge. Maxwell's equations and the Lorentz force law together encompass all the laws of electricity and magnetism. The symmetry that Maxwell introduced into his mathematical framework may not be...
Standing Electromagnetic Waves01:15

Standing Electromagnetic Waves

Electromagnetic waves can be reflected; the surface of a conductor or a dielectric can act as a reflector. As electric and magnetic fields obey the superposition principle, so do electromagnetic waves. The superposition of an incident wave and a reflected electromagnetic wave produces a standing wave analogous to the standing waves created on a stretched string.
Suppose a sheet of a perfect conductor is placed in the yz-plane, and a linearly polarized electromagnetic wave traveling in the...
Electromagnetic Fields01:30

Electromagnetic Fields

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 Gauss's...
Electromagnetic Waves01:30

Electromagnetic Waves

James Clerk Maxwell formulated a single theory combining all the electric and magnetic effects scientists knew during that time, calling the phenomena his theory predicted “Electromagnetic waves”. He brought together all the work that had been done by brilliant physicists such as Oersted, Coulomb, Gauss, and Faraday and added his own insights to develop the overarching theory of electromagnetism. Maxwell’s equations, combined with the Lorentz force law, encompass all the laws of electricity and...
Electromagnetic Wave Equation01:24

Electromagnetic Wave Equation

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: What...
Induced Electric Fields: Applications01:27

Induced Electric Fields: Applications

An important distinction exists between the electric field induced by a changing magnetic field and the electrostatic field produced by a fixed charge distribution. Specifically, the induced electric field is nonconservative because it does not work in moving a charge over a closed path. In contrast, the electrostatic field is conservative and does no net work over a closed path. Hence, electric potential can be associated with the electrostatic field but not the induced field. The following...

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Related Experiment Video

Updated: Jun 23, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability
06:42

Magnetically Induced Rotating Rayleigh-Taylor Instability

Published on: March 3, 2017

Rotating scale-invariant electromagnetic fields.

J Tervo, J P Turunen

    Optics Express
    |May 8, 2009
    PubMed
    Summary
    This summary is machine-generated.

    This study extends scalar field rotation concepts to electromagnetic fields, revealing distinct rotation conditions and unique behaviors like oppositely rotating field components.

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    Area of Science:

    • Physics
    • Optics
    • Electromagnetism

    Background:

    • Scalar fields with uniformly rotating intensity distributions and propagation-invariant radial scales are established concepts.
    • Extending these concepts to electromagnetic fields presents unique challenges and opportunities.

    Purpose of the Study:

    • To extend the concept of scalar field rotation to electromagnetic fields.
    • To analyze the conditions for rotation in electromagnetic fields.
    • To explore novel polarization dynamics in rotating electromagnetic fields.

    Main Methods:

    • Theoretical analysis of electromagnetic fields.
    • Mathematical formulation of rotating polarization states.
    • Comparison with scalar field theory.

    Main Results:

    • Identified distinct conditions for field rotation in scalar versus electromagnetic fields.
    • Demonstrated that electromagnetic fields can exhibit propagation-invariant states of polarization.
    • Revealed the possibility of different field components rotating in opposite directions.

    Conclusions:

    • The rotation dynamics of electromagnetic fields differ significantly from scalar fields.
    • New phenomena, such as counter-rotating field components, emerge in electromagnetic field rotation.
    • This work opens avenues for controlling and manipulating light polarization.