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Related Concept Videos

Electric Field of a Non Uniformly Charged Sphere01:22

Electric Field of a Non Uniformly Charged Sphere

Gauss's law states that the electric flux through any closed surface equals the net charge enclosed within the surface. This law is beneficial for determining the expressions for the electric field for a particular charge distribution if the electric flux is known.
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The existence of combined electric and magnetic fields that propagate through space as electromagnetic (EM) waves is the most significant prediction of Maxwell's equations. As Maxwell's equations hold in free space, the predicted electromagnetic waves do not require a medium for their propagation. An EM wave comprises an electric field, defined as the force per charge on a stationary charge, and a magnetic field, which is the force per charge on a moving charge.
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Development of Whispering Gallery Mode Polymeric Micro-optical Electric Field Sensors
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Published on: January 29, 2013

Spherical fields as nonparaxial accelerating waves.

Miguel A Alonso1, Miguel A Bandres

  • 1The Institute of Optics, University of Rochester, Rochester, New York 14627, USA. alonso@optics.rochester.edu

Optics Letters
|December 22, 2012
PubMed
Summary
This summary is machine-generated.

We introduce nonparaxial spatially accelerating waves that follow semicircular paths while maintaining their shape. These novel wave structures are described by simple, closed-form expressions, enabling precise pulse descriptions.

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Area of Science:

  • Physics
  • Optics
  • Wave Phenomena

Background:

  • Spatially accelerating waves offer unique propagation dynamics.
  • Controlling wave packet trajectories is crucial for various applications.

Purpose of the Study:

  • To introduce and describe nonparaxial spatially accelerating waves.
  • To develop a theoretical framework for waves propagating along semicircular trajectories.
  • To enable closed-form descriptions of such waves and their associated pulses.

Main Methods:

  • Derivation using imaginary displacements on spherical fields.
  • Analysis of two-dimensional transverse profiles.
  • Formulation of closed-form expressions for wave structure and pulses.

Main Results:

  • Introduction of nonparaxial spatially accelerating waves.
  • Demonstration of semicircular trajectory propagation with shape preservation.
  • Development of simple closed-form expressions for wave and pulse descriptions.

Conclusions:

  • Nonparaxial spatially accelerating waves present a new class of wave solutions.
  • The derived closed-form expressions simplify the analysis and description of these waves.
  • This work provides a foundation for exploring novel optical and wave phenomena.