Title :
A fourth-order accurate FDTD scheme with long-time stability
Author :
Hwang, Kyu-Pyung
Author_Institution :
Intel Corp., Chandler, AZ, USA
fDate :
4/1/2005 12:00:00 AM
Abstract :
This letter presents a new finite-difference time-domain (FDTD) scheme with fourth-order accuracy in time and space. A combination of staggered backward differentiation time integrator and high-order spatial discretization is used to derive fourth-order accurate FDTD equations. The fourth-order accuracy of the proposed FDTD method is verified by monitoring L2 norm errors in a two-dimensional partially-filled cavity. Furthermore, the computational cost study shows that the proposed fourth-order scheme is much more efficient than Yee´s second-order FDTD scheme in solving the inhomogeneous cavity problem.
Keywords :
Maxwell equations; computational electromagnetics; convergence of numerical methods; finite difference time-domain analysis; 2D partially filled cavity; L2 norm errors; backward differentiation time integrator; convergence of numerical methods; finite-difference time-domain scheme; fourth-order accuracy; high-order spatial discretization; inhomogeneous cavity problem; second-order FDTD scheme; Computational efficiency; Dielectric materials; Differential equations; Finite difference methods; Maxwell equations; Permittivity; Polarization; Stability; Tellurium; Time domain analysis; Backward differentiation method; convergence of numerical methods; finite-difference time-domain (FDTD) methods;
Journal_Title :
Microwave and Wireless Components Letters, IEEE
DOI :
10.1109/LMWC.2005.845741
