Fig. 8

The envelope curves of \(\:{U}^{*}=\frac{U}{A}\) versus \(\:{t}^{*}=\frac{t}{R}\) (black curves) for the output avalanche shapes at \(\:\frac{{\tau}_{a}}{{\tau}_{s}}=45\:\)(a);\(\:\:\frac{{\tau}_{a}}{{\tau}_{s}}=20\:\)(b) \(\:\frac{{\tau}_{a}}{{\tau}_{s}}=5\:\)(c) and \(\:\frac{{\tau}_{a}}{{\tau}_{s}}=1\) (d) For comparison, the input normalized shapes (\(\:{U}^{*}=\frac{{<v\left(t\right)>}_{S}}{{v}_{m}}\) versus \(\:{t}^{*}=\frac{t}{{t}_{m}}\)) are also show with red. At smaller values of \(\:\frac{{\tau}_{a}}{{\tau}_{s}}\) (\(\:\frac{{\tau}_{a}}{{\tau}_{s}}<20),\:\)which corresponds to larger values of input avalanche amplitudes, the first parts of the two curves at around the maxima are very similar, reflecting the undistorted shape even for \(\:\frac{{\tau}_{a}}{{\tau}_{s}}=20\:\)up to about \(\:{t}^{*}=3\).