Moving refractive index fronts in dispersive waveguides is a special type of spatio-temporal modulation. The interaction of light with such fronts can be described in terms of an indirect transition where the frequency and wavenumber of a guided mode both are changed. In recent years front induced transitions were used in dispersion engineered waveguides for frequency conversion, optical delays, and bandwidth and pulse duration manipulation. These concepts have originated from different research areas of photonics, such as nonlinear fiber optics, slow light waveguides, plasma physics, moving media and relativistic effects. Here, we would like to review these concepts, providing a unifying theoretical description and highlight the potential of this exciting research field for light manipulation in guided optics.