These results seem to be very interesting. The unconditional energy loss E2, "tails", can reach very high level, for example, if a working energy level is a half of maximum (very often just this level is considered as a working one) the energy losses are 50% of full laser beam energy!
In case of laser technologies of treatment of thin films of material the energy part E1, "apex of Gauss", is also considered as a loss of energy since this part exceeds the working energy level Ih, thus both energy parts E1 and E2 represent losses. Sum of losses E1 + E2 is shown as a graph at the diagram as well; minimum of this function is 0,63. In other words, when treating of thin films in the best case "only" 63% of energy is lost and 37% is effective!
Sure, this is geometrical interpretation only, however this approach makes it possible to evaluate amount of losses of laser radiation, they could reach, sometimes, a half of total laser energy! While applying technologies of beam shaping it is possible to improve substantially the efficiency of using the laser energy, as well as to reach some additional effects of laser materials treatment.