4.7 Article

Parallel FDTD Modeling of Nonlocality in Plasmonics

Journal

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION
Volume 69, Issue 7, Pages 3982-3994

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAP.2020.3044579

Keywords

Time-domain analysis; Plasmons; Mathematical model; Finite difference methods; Computational modeling; Hydrodynamics; Plasmas; Finite-difference time-domain (FDTD); generalized nonlocal optical response (GNOR); hydrodynamic plasma model; nonlocality; parallel computing; plasmonics

Funding

  1. Natural Sciences and Engineering Research Council of Canada
  2. Canada Research Chairs Program
  3. Vanier Canada Graduate Scholarships
  4. SOSCIP

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As nanofabrication techniques advance, modeling nonlocal effects in plasmonics has become increasingly important. This study presents a comprehensive FDTD implementation of nonlocal hydrodynamics with parallel computing, demonstrating the importance of parallel implementation in addressing nonlocal effects and increasing simulation accuracy for metallic particles and nanostructures.
As nanofabrication techniques become more precise, with ever smaller feature sizes, the ability to model nonlocal effects in plasmonics becomes increasingly important. Although nonlocal models based on hydrodynamics have been implemented using various computational electromagnetics techniques, the finite-difference time-domain (FDTD) version has remained elusive. Here, we present a comprehensive FDTD implementation of nonlocal hydrodynamics, including parallel computing. As a subnanometer step size is required to resolve nonlocal effects, a parallel implementation makes the computational cost of nonlocal FDTD more affordable. We first validate our algorithms for small spherical metallic particles, and find that nonlocality smears out staircasing artifacts at metal surfaces, increasing the accuracy over local models. We find this also for a larger nanostructure with sharp extrusions. The large size of this simulation, where nonlocal effects are clearly present, highlights the importance and impact of a parallel implementation in FDTD.

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