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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.
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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.
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James Clerk Maxwell (1831–1879) was one of the major contributors to physics in the nineteenth century. Although he died young, he made major contributions to the development of the kinetic theory of gases, to the understanding of color vision, and to understanding the nature of Saturn's rings. He is probably best known for having combined existing knowledge on the laws of electricity and magnetism with his insights into a complete overarching electromagnetic theory, which is...
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Three-Dimensional Electromagnetic Void Space.

Changqing Xu1, Hongchen Chu2, Jie Luo3

  • 1Division of Computer, Electrical and Mathematical Science and Engineering, King Abdullah University of Science and Technology (KAUST), Thuwal 23955-6900, Saudi Arabia.

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Researchers created the first three-dimensional (3D) electromagnetic void space using an all-dielectric photonic crystal. This novel 3D structure enables unique optical functionalities and precise wave control.

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Area of Science:

  • Photonics
  • Metamaterials
  • Electromagnetism

Background:

  • Electromagnetic void space, optically equivalent to a point, allows waves to propagate without phase change.
  • Existing 2D or acoustic void spaces have limitations due to dimensionality and wave properties.

Purpose of the Study:

  • To realize a three-dimensional (3D) electromagnetic void space.
  • To explore unique functionalities enabled by 3D void space, distinct from 2D or acoustic counterparts.

Main Methods:

  • Utilizing an all-dielectric photonic crystal with simultaneously vanishing permittivity and permeability.
  • Theoretical and experimental validation of the 3D void space properties.

Main Results:

  • Demonstration of the first 3D electromagnetic void space.
  • Transmission is independent of inner boundaries but sensitive to outer boundaries.
  • Observation of unique topological properties arising from 3D dimensionality and wave nature.

Conclusions:

  • The 3D electromagnetic void space offers novel functionalities like impurity antidoping, boundary-controlled switching, and 3D wave steering.
  • This breakthrough opens avenues for exotic 3D optics and manipulating light at an optically infinitesimal point.