Open AccessFinite‐difference time‐domain implementation of tensor impedance boundary conditions
Author(s) -
Feizi Mina,
Nayyeri Vahid,
Keshtkar Asghar
Publication year - 2017
Publication title -
iet microwaves, antennas and propagation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.555
H-Index - 69
eISSN - 1751-8733
pISSN - 1751-8725
DOI - 10.1049/iet-map.2016.0446
Subject(s) - finite difference time domain method , mathematical analysis , mathematics , tensor (intrinsic definition) , boundary value problem , boundary (topology) , electrical impedance , stability (learning theory) , finite difference method , geometry , physics , computer science , optics , quantum mechanics , machine learning
Tensor impedance surfaces are modelled using a linear relationship between the tangential electric and magnetic fields at the surface, namely tensor impedance boundary condition (TIBC). To implement TIBC in the finite‐difference time‐domain (FDTD) method, a problem arises: TIBC boundary condition requires that the tangential components of the electric and magnetic fields to be co‐located in both spatial and time grids. However, this requirement is not compatible with the classical leapfrog Yee's algorithm. In this study, the authors present an algorithm for FDTD implementation of TIBC. Numerical examples are presented to demonstrate the stability, and the accuracy of the proposed approach. Validation is achieved by comparison with analytic solutions.