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Propagation of Waves01:07

Propagation of Waves

When a wave propagates from one medium to another, part of it may get reflected in the first medium, and part of it may get transmitted to the second medium. In such a case, the interface of the two mediums can be considered as a boundary that is neither fixed nor free.
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Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials
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Ballistic, diffusive, and localized transport in surface-disordered systems: two-mode waveguide.

M Rendón1, N M Makarov, F M Izrailev

  • 1Facultad de Ciencias de la Electrónica, Universidad Autónoma de Puebla, Puebla, México. mrendon@ece.buap.mx

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|July 7, 2011
PubMed
Summary
This summary is machine-generated.

This study analyzes transport regimes in disordered waveguides. Surface roughness symmetry dictates whether scattering is enhanced or suppressed, leading to distinct transport behaviors like ballistic or localized transport.

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Area of Science:

  • Condensed Matter Physics
  • Mesoscopic Physics
  • Quantum Transport

Background:

  • Quasi-one-dimensional systems are crucial for understanding electron transport.
  • Surface disorder significantly impacts transport properties.
  • Existing models often overlook certain scattering mechanisms.

Purpose of the Study:

  • To analytically investigate the coexistence of transport regimes in surface-disordered waveguides.
  • To elucidate the role of surface scattering in two-mode systems.
  • To understand how different roughness profiles influence electron transport.

Main Methods:

  • Analytical study of quasi-one-dimensional waveguides.
  • Consideration of two open modes (channels).
  • Analysis of transmission dependence on model parameters and surface profiles (symmetric and antisymmetric).

Main Results:

  • Scattering mechanisms are either enhanced or suppressed based on surface roughness symmetry.
  • Symmetric roughness leads to ballistic, localized, and coexistence transport regimes.
  • Antisymmetric roughness can result in diffusive transport.
  • Square-gradient scattering, often neglected, significantly impacts transmission.

Conclusions:

  • Surface roughness symmetry is a key factor in determining transport regimes.
  • The interplay of scattering mechanisms, including square-gradient scattering, governs waveguide behavior.
  • This research provides insights into controlling electron transport in nanostructures.