The diffraction problem of a Gaussian beam by finite number of periodic slo
ts in a parallel-plate waveguide filled with a homogeneous dielectric is co
nsidered. The integrodifferential equation for the unknown equivalent surfa
ce magnetic current density over the slots is derived and solved by the met
hod of moments (piecewise sinusoidal Galerkin method). From some theoretica
l results for the angular diffraction pattern, the present geometry is obse
rved to simulate well the previous rectangular groove geometry from the vie
wpoint of scattering behaviour. In addition, two types (resonance and non-r
esonance types) of Bragg blazing phenomena are discussed. Simultaneous Brag
g and off-Bragg blazing is also demonstrated.