Scattering of plane electromagnetic waves by a grating of conducting cylinders embedded in a dielectric slab over a ground plane

Resonances for Maxwell’s equations in a periodic structure

“…Physicists have pointed out that for certain values of the frequency of the incident wave, there occurs sharp variations of the energy of the reflected modes on the structure, due to resonance effects. These resonance effects (sometimes referred to as scan-blindness effect in the case of phased-array antennas [24], [16], [17]) correspond to the excitation of guided waves in the grating [15]. Since these phenomena can seriously modify the scattering characteristic of the devices, it is very important to understand them and to be able to describe them as precisely as possible.…”

Invited paper Wave reactance of thin planar strip gratings

“…Some more recent methods are the 'averaged boundary conditions' (Kontorovich 1972, Astrakhan et al 1975, Astrakhan and Fersman 1979, the 'asymptotic anticipation' (Neureuther and Zaki 1968), the 'least square' (Millar 1973), the 'variation of constants ' (Fel'd 1976), and the 'spectral iteration' . The case of a periodic structure adjacent to a dielectric layer has been treated by Adonina and Shestopalov (1963), Montgomery (1975), Kalhor and Armand (1975) and Kalhor and Ilyas (1982). Among the literature covering the analysis of reflection-type gratings the works of van den Berg (1971Berg ( , 1981 and Petit (1980) should be mentioned.…”