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Related Concept Videos

Electromagnetic Wave Equation01:24

Electromagnetic Wave Equation

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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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A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
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Multifunctional composites for elastic and electromagnetic wave propagation.

Jaeuk Kim1, Salvatore Torquato2,3,4,5

  • 1Department of Physics, Princeton University, Princeton, NJ 08544.

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Researchers established cross-property relations for composites, linking elastic and electromagnetic wave characteristics. This enables the design of multifunctional materials with tailored properties for diverse applications.

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Area of Science:

  • Materials Science
  • Wave Physics
  • Composite Materials

Background:

  • Composites offer tunable properties by combining materials and microstructures.
  • Multifunctional materials require integrated elastic and electromagnetic characteristics.

Purpose of the Study:

  • Establish cross-property relations for two-phase composites.
  • Link effective elastic and electromagnetic wave properties.
  • Facilitate multifunctional material design.

Main Methods:

  • Derive accurate formulas for effective electromagnetic and elastodynamic properties.
  • Incorporate wavelength dependence and microstructure via spectral density.
  • Apply formulas beyond the long-wavelength regime.

Main Results:

  • Developed formulas applicable to a wide range of wavelengths.
  • Enabled study of disordered microstructures, including hyperuniform composites.
  • Demonstrated novel wave characteristics in stealthy hyperuniform microstructures, acting as isotropic low-pass filters.

Conclusions:

  • Cross-property relations enable the design of multifunctional composites using inverse techniques.
  • Applications include structural components, thermal management, acoustic dampening, and non-destructive evaluation.
  • Disordered hyperuniform microstructures offer unique wave manipulation capabilities.