Wave Propagation in Linear and Nonlinear Photonic Band-Gap Materials

Abstract

Numerical Codes and Analysis: Simulation and analysis of 2D resonant phenomena in photonic crystal slabs through the study of dispersion relations of bulk medium and surface waves along the crystal using the boundary integral method. Development of 3D boundary element code for EM scattering off photonic crystal slabs. Development of 2D FDTD code that includes nonlinearities and use in studying resonant phenomena. Nonlinear Effects: Derivation of the solution of the initial value problem of the small dispersion Nonlinear Schroedinger equation in the semi-classical limit. Study of 1:3 resonance in PBG circuit analogue. Constrained optimization of photonic crystal structures. Determination of the geometry that optimizes a certain resonance under given geometric constraints.

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Document Details

Document Type
Technical Report
Publication Date
Jul 08, 2003
Accession Number
ADA416141

Entities

People

  • Stephanos Venakides

Organizations

  • Duke University

Tags

Communities of Interest

  • Advanced Electronics

DTIC Thesaurus Topics

  • Band Gaps
  • Boundaries
  • Crystal Lattice Vibrations
  • Crystal Structure
  • Crystals
  • Dispersion Relations
  • Dispersions
  • Energy Bands
  • Equations
  • Frequency
  • Materials
  • Photonic Crystals
  • Resonance
  • Resonant Frequency
  • Scattering
  • Two Dimensional
  • Wave Propagation

Fields of Study

  • Physics

Readers

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