“…It has been shown for a wide range of materials including InP, [53][54][55][56] GaAs, [55][56][57][58][59][60] In1-xAlxAs, 55,56,61 Si, 62 AlxGa1-xAs, 55,56,[63][64][65][66][67] SiC, 68 GaP, 69 and GaInP 70 that reducing the thickness of the multiplication layer, usually to submicron dimensions, results in lower excess noise. 71 -79 This is contrary to expectations based on the local-field model and points to its inadequacy when the non-local nature of impact ionization becomes significant.…”