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Related Concept Videos

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...
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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.
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Plane Electromagnetic Waves I01:30

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Electromagnetic waves are consistent with Ampere's law. Assuming there is no conduction current Ampere's law is given as:

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Direct Imaging of Laser-driven Ultrafast Molecular Rotation
10:52

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Published on: February 4, 2017

Three-dimensional accelerating electromagnetic waves.

Miguel A Bandres1, Miguel A Alonso, Ido Kaminer

  • 1Instituto Nacional de Astrofísica, Óptica y Electrónica Calle Luis Enrique Erro No. 1, Sta. Ma. Tonantzintla, Pue. CP 72840, Mexico. bandres@gmail.com

Optics Express
|June 22, 2013
PubMed
Summary
This summary is machine-generated.

We developed a theory for 3D non-paraxial accelerating waves that maintain their shape while traveling in semicircles. This research enables the creation of novel accelerating beams with diverse structures for various applications.

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Area of Science:

  • Physics
  • Optics
  • Electromagnetism

Background:

  • Spatially accelerating waves offer unique propagation dynamics.
  • Non-paraxial wave theories are crucial for understanding complex beam behaviors.

Purpose of the Study:

  • To establish a general theory for three-dimensional non-paraxial spatially-accelerating waves.
  • To classify and characterize the shapes of these novel wave structures.
  • To explore potential applications of these beams.

Main Methods:

  • Formulation of a general theory based on Maxwell's equations.
  • Analysis of two-dimensional structures exhibiting shape-invariant propagation.
  • Characterization using angular spectra of spheroidal fields.

Main Results:

  • Demonstration of shape-invariant propagation along semicircular trajectories.
  • Classification of beam shapes including parabolic, oblate, and prolate spheroidal forms.
  • Theoretical framework for designing novel accelerating beams.

Conclusions:

  • The theory provides a comprehensive understanding of 3D non-paraxial accelerating waves.
  • Results facilitate the design of beams with tailored structures and enhanced functionalities.
  • Broadens the scope and potential applications of accelerating beams in optics and beyond.