Title :
A time-domain method with isotropic dispersion and increased stability on an overlapped lattice
Author :
Forgy, Eric Alan ; Chew, Weng Cho
Author_Institution :
Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL, USA
fDate :
7/1/2002 12:00:00 AM
Abstract :
A time-domain method on an overlapped lattice is presented for the accurate and efficient simulation of electromagnetic wave propagation through inhomogeneous media. The method comprises a superposition of complementary approximations to electromagnetic theory on a lattice. The discrete space-time (DST) method, is set on a pair of dual lattices whose field components are collocated on their respective lattice sites. The other, the time-domain element (TDE) method, is set on overlapping dual lattices whose field components are noncollocated. The TDE method is shown to be a generalization and reinterpretation of the Yee algorithm. The benefits of the combined algorithm over comparable methods include: (1) increased accuracy over larger bandwidths; (2) increased stability allowing larger time steps; (3) local stencil-satisfying boundary conditions on interfaces; (4) self-contained mathematical framework; (5) it is physically intuitive.
Keywords :
dispersion (wave); electromagnetic wave propagation; inhomogeneous media; time-domain analysis; Yee algorithm; boundary conditions; discrete space-time method; electromagnetic wave propagation; inhomogeneous media; isotropic dispersion; overlapped lattice; time-domain element method; time-domain method; Boundary conditions; Electromagnetic propagation; Finite difference methods; Integral equations; Lattices; Maxwell equations; Nonhomogeneous media; Robustness; Stability; Time domain analysis;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2002.801373