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Diffraction and localization in low-dimensional photonic bandgaps.

Stefano Longhi1, Davide Janner

  • 1Dipartimento di Fisica and Istituto di Fotonica e Nanotecnologie del Consiglio Nazionale delle Richerche, Politecnico di Milano, Piazza L. da Vinci, 32 I-20133 Milano, Italy. longhi@fisi.polimi.it

Optics Letters
|November 24, 2004
PubMed
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In low-dimensional photonic bandgaps, wave localization is influenced by crystal band structure. This leads to new wave behaviors, including enhanced diffraction and stationary X-shaped or sinc-shaped waves near bandgap edges.

Area of Science:

  • Photonics
  • Condensed Matter Physics
  • Wave Phenomena

Background:

  • Photonic bandgaps control light propagation in periodic structures.
  • Wave localization can occur in low-dimensional systems.
  • Diffraction is a fundamental wave property.

Purpose of the Study:

  • To investigate wave diffraction and localization in low-dimensional photonic bandgaps.
  • To explore the influence of photonic band structure on wave behavior.
  • To identify new forms of wave localization.

Main Methods:

  • Analysis of wave diffraction in periodic layered structures.
  • Investigation near photonic bandgap edges.
  • Characterization of diffraction curves (parabolic, hyperbolic, elliptic).

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Main Results:

  • Wave diffraction is strongly influenced by the photonic band structure.
  • Enhanced diffraction is observed near bandgap edges.
  • A transition from parabolic to hyperbolic or elliptic diffraction curves occurs.
  • Stationary X-shaped and sinc-shaped wave localization is demonstrated.

Conclusions:

  • Photonic band structure fundamentally alters wave diffraction and localization.
  • New wave localization phenomena, including stationary waves, are possible in photonic bandgaps.
  • Understanding these effects is crucial for designing advanced photonic devices.