We present a detailed electromagnetic analysis for the radiation of an elec
tric source located inside grating structures. Our analysis is based on the
differential method and uses the scattering-matrix algorithm. We show that
gratings that exhibit periodic modulations along two spatial directions (c
rossed gratings) enable one to couple out the totality of the light emitted
by the source into the guided modes of the structure. This property is inv
estigated through the computation of the far-field radiation patterns for c
rossed gratings with various etching depths. One key result is the possibil
ity to confine the emitted light in a direction about the sample normal, a
property that is of interest in the context of spontaneous emission control
by microcavity structures. (C) 2000 Optical Society of America [S0740-3232
(00)01506-4].