Title :
Three-dimensional time-domain method for solving Maxwell´s equations based on circumcenters of elements
Author :
Hano, Mitsuo ; Itoh, Tatsuo
Author_Institution :
California Univ., Los Angeles, CA, USA
fDate :
5/1/1996 12:00:00 AM
Abstract :
The finite-difference time-domain (FD-TD) method, based on the traditional Yee (1966) algorithm, has been successfully applied to the analysis of many problems of interest. A three-dimensional time-domain method for solving Maxwell´s equations is developed by using non-cubic cells. The advantage of this formulation is that it is free from a volume integration since updating equations are directly obtained from Faraday and Ampere´s laws. The faces of tetrahedral elements and the polygons of their Voronoi diagram are chosen as integral surfaces for Faraday and Ampere´s laws, respectively. From the calculation of the scattering of the plane wave by a cylinder, it is found that this formulation is valid for curved surfaces
Keywords :
Maxwell equations; computational geometry; electromagnetic wave propagation; electromagnetic wave scattering; finite difference time-domain analysis; Ampere´s laws; FD-TD method; Faraday laws; Maxwell´s equations; Voronoi diagram; Yee algorithm; circumcenters; curved surfaces; cylinder; finite-difference time-domain method; integral surfaces; noncubic cells; plane wave propagation; plane wave scattering; polygons; tetrahedral elements; three-dimensional time-domain method; updating equations; Algorithm design and analysis; Electromagnetic scattering; Finite difference methods; Finite element methods; Integral equations; Magnetic fields; Magnetic flux; Maxwell equations; Scattering; Shape; Surface treatment; Surface waves; Time domain analysis;
Journal_Title :
Magnetics, IEEE Transactions on
