observed for sound [@Rayleigh] and surface waves [@Whitham], it is the diffraction and interference of light discovered by F. M. Grimaldi (1665) and T. Young (1800) (see, Refs. [@BornWolf; @Fremont] for details), that has paved the way to development of modern physics. Both phenomena are present, for instance, in light scattering by a diffraction grating. Specifically, in the far field zone, the resulting intensity of the monochromatic light scattered by $N_{\rm rep}$ parallel slits can be described by the Fraunhofer formula [@Crawford], $$I(u)=I_0D(u)\Bigl(\frac{\sin(N_{\rm rep}\pi a u)}{\sin(\pi a u)}\Bigr)^2.
\label{intro1}$$ Here, $u=\sin\theta/\lambda$ is related to the scattering angle $\theta$ and the wavelength of the incident wave $\lambda$, $a$ is the distance between two subsequent slits, whereas $I_0$ is the incident light intensity. The Fraunhofer formula essentially consists of two factors. One of them, $\bigl(\frac{\sin(N_{\rm rep}\pi a u)}{\sin(\pi a u)}\bigr)^2$, is called the [*interference term*]{}. It is responsible for the coherent $N_{\rm rep}^2$-type enhancement of the scattered wave if detected at the angle $\theta$ such that $a u$ is integer. The factor $D(u)$, on the other hand, is called the [*diffraction factor*]{}. It describes the wave scattering off a single slit. It depends only on the shape of the individual slit, provided 