Af. Peterson, AN OUTWARD-LOOKING DIFFERENTIAL-EQUATION FORMULATION FOR SCATTERING FROM ONE-DIMENSIONAL PERIODIC DIFFRACTION GRATINGS, Electromagnetics, 14(2), 1994, pp. 227-238
A formulation that combines the scalar Helmholtz equation with an inte
gral equation radiation boundary condition is developed for electromag
netic scattering from heterogeneous geometries exhibiting one-dimensio
nal periodicity. A finite element discretization is implemented using
piecewise-linear interpolation functions. Numerical results are presen
ted for the reflection and transmission coefficients associated with s
everal diffraction gratings.