Analytical approach to the theory of resonance diffraction by periodically modulated boundaries

Light diffraction by gratings formed on high conducting surfaces can lead to great changes in the properties of the diffracted waves if one of them is close to the surface electromagnetic wave (SEW) or, in other words, the surface plasmon polariton (SPP). An analytical approach allows both to make predictions of the resonance properties of a given grating and to formulate requirements for designing gratings with specified properties (this problem presents a very hard task for numerical methods). This report presents new results from an analytical approach to the problem of impedance gratings.