A NEW FORMULATION OF ELECTROMAGNETIC SCATTERING FROM ROUGH DIELECTRICINTERFACES

In all exact versions of scattering from a rough dielectric interface, six boundary unknowns must be found. In the Stratton-Chu equations, f or example, the unknowns are the electric field (tangential and normal to the interface) and the boundary electric currents. Once determined , they are used to evaluate the three components of the scattered fiel d and the three components of the transmitted field. The 6 x 6 operato r matrix to be inverted consists of four 3 x 3 block matrices, two of which axe diagonal. The other non-diagonal matrices describe the coupl ing. We describe a new formulation of this scattering problem in which the six boundary unknowns are the electric field and its normal deriv ative. In this formalism, three of the four 3 x 3 block matrices are d iagonal. All the coupling resides in the fourth block.