Nonlocal Hydrodynamic Models for the Optical Response of Plasmonic Nanostructures


  • Mario Kupresak Department of Electrical Engineering (ESAT-TELEMIC) KU Leuven Leuven, Belgium
  • Xuezhi Zheng Department of Electrical Engineering (ESAT-TELEMIC) KU Leuven Leuven, Belgium
  • Guy A. E. Vandenbosch Department of Electrical Engineering (ESAT-TELEMIC) KU Leuven Leuven, Belgium
  • Victor V. Moshchalkov Institute for Nanoscale Physics and Chemistry (INPAC) KU Leuven Leuven, Belgium


additional boundary condition, deep-nanometer scale, nonlocal hydrodynamic model, plasmonics


In order to model the interaction between light and plasmonic structures at deep-nanometer scale, which is governed by non-classical effects, a nonlocal hydrodynamic approach has been extensively studied. Several hydrodynamic models have been proposed, solving the coupled equations: the linearized hydrodynamic equation of motion and the electrodynamic Maxwell’s equations, by employing additional boundary conditions. This work compares four hydrodynamic models: the hard wall hydrodynamic model (HW-HDM), the curl-free hydrodynamic model (CF-HDM), the shear forces hydrodynamic model (SF-HDM), and the quantum hydrodynamic model (Q-HDM). The analysis is conducted for a metallic spherical nanoparticle, as an example. The above hydrodynamic models are also compared with experiments available in literature. It is demonstrated that HW-HDM and QHDM outperform the other two hydrodynamic models.


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