In this paper, a new method is presented for analyzing the transient electromagnetic response from a three-dimensional (3-D) perfectly electric conducting body using the time-domain electric field integral equation (TD-EFIE). Instead of the conventional marching-on in time (MOT) technique, the solution method in this paper is based on the Galerkin's method that involves separate spatial and temporal testing procedure. Triangular patch basis functions are used for spatial expansion and testing functions for arbitrarily shaped 3-D structures. The time-domain unknown coefficient is approximated as an orthonormal basis function set that is derived from the Laguerre functions. These basis functions are also used as the temporal testing. With the representation of the derivative of the time-domain coefficient in an analytic form, the time derivative of the vector potential in the TD-EFIE can be handled analytically. We also propose an alternative formulation to solve the differential form of the TD-EFIE. Two methods presented in this paper result in very accurate and stable transient responses from conducting objects. Detailed mathematical steps are included and representative numerical results are presented and compared.
|Original language||English (US)|
|Number of pages||9|
|Journal||Applied Computational Electromagnetics Society Journal|
|State||Published - Jul 1 2004|
ASJC Scopus subject areas
- Astronomy and Astrophysics
- Electrical and Electronic Engineering