“…It should be mentioned that the FITs were discussed in different areas of photonics, sometimes not directly related to each other. We unite in this review concepts that appeared in the research on slow light 13,31,33,38,39,41,43,[54][55][56] , silicon photonics 9,11,12,22,35 , optical analogue of event horizon 24,25 , optical solitons 42,[60][61][62] , fiber Bragg gratings 52,53,59,63 , Bragg stacks 32,64,65 , ionization fronts [44][45][46][47] and moving media 8,48,66 . Also different approaches were applied to explain the obtained effects, such as four wave mixing 25,61,62 indirect transitions in the band diagram 16, 31-33, 40, 45 , geometrical optics approximation in space and time 24,33,38,43 , slow varying approximation leading to linear Schrödinger equation (LSE) 4,34,…”