Ln. Medgyesimitschang et al., GENERALIZED-METHOD OF MOMENTS FOR 3-DIMENSIONAL PENETRABLE SCATTERERS, Journal of the Optical Society of America. A, Optics, image science,and vision., 11(4), 1994, pp. 1383-1398
We outline a generalized form of the method-of-moments technique. Inte
gral equation formulations are developed for a diverse class of arbitr
arily shaped three-dimensional scatterers. The scatterers may be total
ly or partially penetrable. Specific cases examined are scatterers wit
h surfaces that are perfectly conducting, dielectric, resistive, or ma
gnetically conducting or that satisfy the Leontovich (impedance) bound
ary condition. All the integral equation formulations are transformed
into matrix equations expressed in terms of five general Galerkin (mat
rix) operators. This allows a unified numerical solution procedure to
be implemented for the foregoing hierarchy of scatterers. The operator
s are general and apply to any arbitrarily shaped three-dimensional bo
dy. The operator calculus of the generalized approach is independent o
f geometry and basis or testing functions used in the method-of-moment
s approach. Representative numerical results for a number of scatterin
g geometries modeled by triangularly faceted surfaces are given to ill
ustrate the efficacy and the versatility of the present approach.