We study the possibility of bleaching of a dielectric boundary using part-through holes (hollows). The parameters of the hollows are determined on the basis of the well-known theoretical approach, according to which the bleaching effect is possible only if the thickness of the matching layer on the dielectric surface is equal to one-fourth of the wavelength. Using this concept and solving approximately the electromagnetic-field equations, we estimate the parameters of the hollows, such as their diameter and depth, which are necessary for the bleaching effect.It is known [1, 2] that when a plane electromagnetic wave is incident on an interface between dielectrics, its reflection occurs. Suppression of this reflection, i.e., matching of dielectrics, is of interest for many engineering applications, e.g., bleaching of optical instruments and windows in high-power vacuum devices, etc. A frequently used method of the matching is the use of quarter-wave layers [2][3][4][5]. From [3][4][5], it is known that the matching is possible if the dielectric boundary is corrugated so that the corrugation period d λ d , where λ d is the wavelength in the dielectric. However, this method has some drawbacks. The degree of bleaching by using a one-dimensional corrugation having a simple form turns out to be sensitive to the polarization of the incident wave. In the case of normal incidence of an E wave (the electric field E of the incident wave is parallel to the corrugation generatrix), bleaching of the boundary requires narrow dielectric ridges with high permittivity. Boundary bleaching for the incidence of an H wave (the magnetic field H of the incident wave is parallel to the corrugation generatrix) requires wide ridges. In the case of more intricate profiles and deeper corrugations, this drawback is eliminated at the cost of more complicated machining of the surface.