Spatial dispersion in two-dimensional plasmonic crystals: Large blueshifts promoted by diffraction anomalies

Christin David, Johan Christensen, N. Asger Mortensen

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We develop a methodology to incorporate nonlocal optical response of the free electron gas due to quantum-interaction effects in metal components of periodic two-dimensional plasmonic crystals and study the impact of spatial dispersion on promising building blocks for photonic circuits. Within the framework of the hydrodynamic model, we observe significant changes with respect to the commonly employed local-response approximation, but also in comparison with homogeneous metal films where nonlocal effects have previously been considered. Notable are the emergence of a contribution from nonlocality at normal incidence and the surprisingly large structural parameters at which finite blueshifts are observable, which we attribute to diffraction that offers nonvanishing in-plane wave vector components and increases the penetration depth of longitudinal (nonlocal) modes.
Original languageEnglish
Article number165410
JournalPhysical Review B
Issue number16
Number of pages9
Publication statusPublished - 2016


  • Collective excitations (surface states)
  • Optical properties of metals and metallic alloys (thin films, low-dimensional and nanoscale structures)
  • Thin film growth, structure, and epitaxy
  • metallic thin films
  • plasmonics
  • spectral line shift
  • diffraction anomalies
  • nonlocal optical response
  • free electron gas
  • quantum-interaction effect
  • metal components
  • periodic two-dimensional plasmonic crystals
  • spatial dispersion
  • photonic circuits
  • hydrodynamic model
  • local-response approximation
  • homogeneous metal films
  • structural parameters
  • finite blueshifts
  • in-plane wave vector components
  • penetration depth
  • longitudinal modes


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