As we have shown in [1, 2], this assumption of the LF uniformity is not universally applicable; moreover, it completely falls apart when the uniformity of the atomic lattice is disturbed by impurities, boundaries, etc. Indeed, when the interatomic interactions are sufficiently strong and the system is not very large, highly nonuniform LF distributions emerge, resulting in a strong stratification of the LF and atomic excitations. This effect is best manifested in small-scale ordered arrays and lattices of atoms at near-resonance conditions, which allow to attain high interaction strength between neighboring atoms and to easily control it by tuning the laser frequency. We have shown [1, 2] that when the interaction with neighboring atoms becomes comparable to that with the external field, so that the interaction strength exceeds some critical value, the system will support LF excitations, which we call locsitons . In finite-size arrays and lattices, standing waves of locsitons may form nanoscale strata and complex patterns in the LF (and hence, in the induced atomic dipoles). A typical spacing between atoms in the arrays and lattices exhibiting the LF stratification is a few orders of magnitude shorter than the wavelength of light, so the quasistatic approximation of the standard LLT can still be used. It is worth noting that locsitons are basically a linear phenomenon and can be excited by a weak incident field. We want to stress that locsitons, i. e., spatially nonuniform solutions, are not new stable-state alternatives to a presumably unstable uniform Lorentz solution at certain interaction parameters; the stability or instability of the solution is not an issue here. The emergence of locsitons is determined by the boundary conditions in a finite structure , so a locsiton is essentially the only physical solution, which thus replaces the uniform Lorentz solution. Absorption plays an important role here, as it directly affects spatial attenuation of locsitons and thus the maximum distance to a boundary, defect, or other inhomogeneity where locsitons can appear. In particular, as we have shown in [2], the size of an array that can support well pronounced locsitons is directly related to the characteristic absorption length. Locsitons vanish in the bulk of a crystal sufficiently far away from boundaries or defects. Due to recent advances in fabricating nanoscale structures, the observation and practi- cal applications of the LF nanostratification are becoming a reality. Theoretically, strongly interacting resonant particles discussed in [1] do not have to be atoms, but may also be quantum dots, molecules, clusters, etc. However, one has to remember that one of the ma- jor conditions for the structure to support the locsitons is that the interaction strength has 3