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Delaunay–Voronoi surface integration: a full‐wave electromagnetics discretization for electronic device simulation
Author(s) -
Miller N. C.,
Albrecht J. D.,
Grupen M.
Publication year - 2016
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.2146
Subject(s) - discretization , electromagnetics , poisson's equation , voronoi diagram , faraday cage , electromagnetism , mathematical analysis , mathematics , physics , geometry , magnetic field , quantum mechanics , engineering physics
Summary A promising time domain electromagnetics numerical method for treating the highly nonlinear problem of charge transport in electronic devices called Delaunay–Voronoi surface integration is presented. This method couples the rotational electric and magnetic fields governed by Ampere's and Faraday's laws with the electrostatic potential dictated by Poisson's equation in a simultaneous solution. Discretization of the governing equations using dual meshes and the relevant boundary conditions are presented. The engineering application details specific to electronic device simulation are treated, and an example calculation is shown to compare with an analytical solution for propagation in a waveguide. Benchmark results are presented for the rotational equations, Poisson's equation, and the complete set of electromagnetic equations. Copyright © 2016 John Wiley & Sons, Ltd.