to exceed a critical value. Since this strength is proportional to the square of an individual dipole momentum and inversely proportional to the cube of the interparticle spacing and the linewidth of the particle resonance (see below), the atoms may become preferred can- didates. A very high finesse of atomic resonances (i. e., their narrow linewidth), compared, for example, to plasmons (see below), also contributes greatly to the phenomenon, allowing one to see high-order locsiton resonances. To observe locsitons, one have to create conditions to couple them efficiently to an op- tical or some other kind of a probe. In [1, 2] we suggested a few promising methods of locsiton detection. In particular, locsitons could be observed via size-related resonances in a scattering of laser radiation or via x-ray or electron-energy-loss spectroscopy. There are many potential applications of locsitons; here we will mention two of them which were discussed in [1]. It was shown in [1] that in the presence of a sufficiently strong optical field (i. e., in the nonlinear case), the LF in 1D arrays of strongly coupled dipoles can exhibit optical bistability, which could be used to design nanoscale all-dielectric logic elements and switches. Such devices might complement currently used semiconductor-based electronic circuits. Another potential application of locsitons could be based on the extreme sensitivity of size-related locsiton resonances to the size and shape of the system. At the exact atomic resonance, the field is normally “pushed out” of the atomic system, unless it has a certain “magic shape” [1]. Consequently, such “magic structures” of atoms could find applications in designing nanoscale biosensors. Removing the assumption of the LLT that the dipoles in the medium oscillate in lock- step with the incident electromagnetic wave is a substantial paradigm shift in the theory of light-matter interaction. Locsitons predicted within our broader approach are a new phe- nomenon, although we can provide some incomplete but illustrative analogies from other areas of physics. For example, short- and long-wavelength strata in [1] are reminiscent of ferromagnetic and antiferromagnetic arrangements of static magnetic dipoles in the Ising model. The LLT is, on the other hand, more similar to the mean-field approach of the Curie-Weiss theory for magnetic media [6]. The Ising model is known to have richer con- sequences than the Curie-Weiss theory. Our case is, however, substantially different and most of all, more versatile than the Ising model. Indeed, instead of being static, as in the Ising model, the atomic dipoles are induced by the applied optical field and can oscillate with arbitrary amplitude and phase. By their nature, locsitons may be classified as Frenkel 4