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Diffusive and localization behavior of electromagnetic waves in a two-dimensional random medium.

Ken Kang-Hsin Wang1, Zhen Ye

  • 1Wave Phenomena Laboratory and Center of Complex Systems, Department of Physics, National Central University, Chungli, Taiwan 32054, Republic of China.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 20, 2003
PubMed
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This study reveals strong wave localization in 2D random dipole systems. Electromagnetic waves become trapped near the source within the localization regime, demonstrating significant scattering effects.

Area of Science:

  • Physics
  • Electromagnetism
  • Wave Phenomena

Background:

  • Investigates transport phenomena of electromagnetic waves.
  • Utilizes a two-dimensional random system model with electrical dipoles.

Purpose of the Study:

  • To present and solve self-consistent equations for multiple scattering.
  • To discover and analyze the strong localization regime in the frequency domain.
  • To examine transport properties across different parameters like filling factor and system size.

Main Methods:

  • Developed a set of self-consistent equations.
  • Numerically solved the equations to analyze wave transport.
  • Investigated wave behavior within, near, and outside the localization regime.

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Main Results:

  • Discovered a strong localization regime in the frequency domain.
  • Observed wave trapping near the source within the localization regime.
  • Diffusive wave behavior showed saturation and exponential decay with path length, indicating localization.

Conclusions:

  • Confirmed strong wave localization in 2D random dipole systems.
  • Highlighted discrepancies between results and diffusion approximation outside the localization regime.
  • Emphasized the importance of multiple scattering in understanding wave transport in disordered systems.