The physical and analytical properties of a stabilized form of the electric field integral equation are discussed for closed and open perfectly conducting geometries. It is demonstrated that the modified equation provides a well-conditioned formulation for smooth geometries in both the high- and low-frequency limits; an instability remains near the edges of open geometries, requiring future consideration. The surface Helmholtz decomposition is used to illustrate the mechanism of the stabilization procedure, and the relevance of this mechanism to the numerical discretization of the equation is outlined.
|Number of pages||11|
|Journal||IEEE Transactions on Antennas and Propagation|
|State||Published - Feb 2004|
Bibliographical noteFunding Information:
Manuscript received February 19, 2001; revised January 21, 2003. This work was supported in part by the Bradley Postdoctoral Fellowship Program at Virginia Polytechnic Institute and State University, Blacksburg, VA, and in part by the Air Force Office of Scientific Research, Air Force Materials Command, under Grant F49620-96-1-0039.
- Electric field integral equation (EFIE)
- Integral equations
ASJC Scopus subject areas
- Electrical and Electronic Engineering