“…In the present work, we shall consider solution of the diffraction problem for a slot structure with a plane dielectric layer, using the eigen-mode technique and shall suggest the procedure of additive regularization, elaborated for the cases of transparent and absorbing layer. From the practical point of view, the last case is of interest in connection with multiplicity of applications of electromagnetic conversion slot systems in physics, engineering, biology, and medicine (see, for example, [22,[32][33][34][35][36]), when one cannot neglect dielectric absorption or the presence of amplification (negative absorption). In the given work, we consider the case of diffraction by one slot in a screen with a homogeneous dielectric behind that, but the method, used in our work, can be effectively applied to the cases when one considers a multilayered dielectric instead of homogeneous one, and to the cases when diffraction occurs due to presence of strip, or a screen with periodical system of many slots or strips, instead of a screen with one slot, as in our work.…”