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Modeling of the perfect electromagnetic conducting boundary in the finite difference time domain method
Author(s) -
Nayyeri Vahid,
Soleimani Mohammad,
Dehmollaian Mojtaba
Publication year - 2013
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1002/rds.20051
Subject(s) - finite difference time domain method , boundary (topology) , boundary value problem , collocation (remote sensing) , finite difference method , mathematical analysis , wedge (geometry) , mathematics , computational electromagnetics , computer science , point (geometry) , electromagnetic field , geometry , physics , optics , quantum mechanics , machine learning
The perfect electromagnetic conducting (PEMC) boundary, a nonreciprocal generalization of both perfect electric conducting (PEC) and perfect magnetic conducting (PMC) boundaries, is modeled in the finite difference time domain (FDTD) method. Since the PEMC boundary condition requires collocation of same components of both electric and magnetic fields at the boundary grids, which is not compatible with the original FDTD algorithm, its implementation in FDTD is challenging and requires modification in the algorithm. To do this task, first, the original FDTD cell is modified by inserting the required field components not present in the original cell. Then, a novel formulation is developed for updating fields' components at the boundary. Modeling of a PEMC planar interface, a corner point, and a wedge point are presented. Finally, numerical examples are presented to show stability, accuracy, and applicability of the proposed approach. Validation is achieved by comparisons with existing analytic methods and/or conventional FDTD for special cases of PEC and PMC boundaries.