Resonant diffraction from a grating on a paramagnetic layer with frequency dispersion

Plane electromagnetic wave diffraction by a strip periodic grating lying on a paramagnetic dispersive layer, the permeability of which possesses negative real part in the microwave band, is solved by Analytical Regularization based on the solution to the Riemann-Hilbert problem. The effect of the resonant transmission accompanied by extremely high absorption is thoroughly studied across the frequency band of the surface waves of the paramagnetic layer placed in the biasing magnetic field. This effect is caused by the surface waves of the layer excited resonantly by the plane incident wave with the diffraction grating present. The resonant frequency is electronically tuned by the biasing magnetic field.