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Field Determination Near Plasmonic Structures by the Feynman-Kac Stochastic Representation
IEEE Antennas and Wireless Propagation Letters (2017)
  • Ramakrishna Janaswamy
Abstract
Feynman-Kac stochastic representation for elliptic equations is used to construct the solution of Helmholtz equation in domains containing plasmonic structures. The method involves initiation of Brownian motion at an interior point in the plasmonic structure and relating the field there to that on the structure boundary (equivalent surface) through the Feynman-Kac formula. The field exterior to the plasmonic structure can be related to the field on the equivalent surface through a variety of numerical methods depending on the complexity of the exterior domain. Finally, the field on the equivalent surface is determined by the imposition of boundary conditions. Comparison is shown here with the exact solution for the total field on the surface of a circular nano-cylinder and a nano-sphere driven by localized sources and where the permittivity is described by the Drude model.  
Keywords
  • Stochastic Differential Equations,
  • Bownian Motion,
  • Drude Model,
  • Plamonics,
  • Wave Propagation
Disciplines
Publication Date
Winter January 25, 2017
DOI
DOI 10.1109/LAWP.2017.2660247
Citation Information
Ramakrishna Janaswamy. "Field Determination Near Plasmonic Structures by the Feynman-Kac Stochastic Representation" IEEE Antennas and Wireless Propagation Letters (2017)
Available at: http://works.bepress.com/ramakrishna_janaswamy/5/