Diffraction of a plane electromagnetic wave by a periodic structure consisting of rectangular metallic plates

An analysis is presented of the problem of plane-wave diffraction by a doubly periodic structure consisting of infinitely thin ideally conducting rectangular plates. A modification of the method of integral equations is used which features good convergence and makes it possible to obtain a highly efficient numerical algorithm. The boundary value problem for the Maxwell equations is reduced to two integrodifferential equations. Frequency dependences of the modulus and phase of the transmission coefficient are presented for various ratios of the geometric dimensions of the plate and the period of the structure. It is shown that for certain values of wavelength, plate dimensions, and period, total reflection occurs.