Table 2. Summary of experimental parameter space explored. Sets 1–3 refer to experiments involving varying the pulse duration, sets 4-6 refer to experiments involving varying the pulse energy and sets 7–9 refer to experiments involving varying the number of pulses. Also note the threshold peak powers are calculated at the inflection points on the data fits; the inflection points are unavailable for sets 3 and 6 and are listed as N/A in the table. Finally, the mean pulse numbers were calculated by considering a Gaussian error function fitted to the data in Fig. 4 and performing a linear regression fit to find the mean pulse number. The ERF was numerically differentiated to find the probability density function (PDF) and corresponding standard deviation. Where not applicable these are also listed as N/A.

Experimental set: (Fig. reference)	Pulse duration range (fs)	Pulse energy range (nJ)	Number of pulses (×106)	Photon order (nef)	Threshold peak power (kW)	Mean pulse number (×106)
1: (2)	17–68	0.5	3.0	1.5 ± 0.2	8 ± 2	N/A
1: (2)	68–143	0.5	3.0	3.5 ± 2.0	as above	N/A
2: (2)	17–80	1.1	1.5	1.5 ± 0.2	11 ± 2	N/A
2: (2)	80–143	1.1	1.5	6.6 ± 2.5	as above	N/A
3: (2)	17–80	1.8	0.4	3.6 ± 0.5	N/A	N/A
4: (3)	17	0.33–0.6	3.0	0.9 ± 0.2	18 ± 2	N/A
4: (3)	17	0.26–0.33	3.0	7.6 ± 2.0	as above	N/A
5: (3)	68	0.53–0.8	3.0	1.3 ± 0.5	7 ± 1	N/A
5: (3)	68	0.40–0.53	3.0	5.7 ± 2.3	as above	N/A
6: (3)	17	0.53–0.8	0.4	3.3 ± 1.0	N/A	N/A
7: (4)	17	0.5	0.4–3.0	N/A	N/A	1.1 ± 0.5
8: (4)	44	0.5	0.8–6.0	N/A	N/A	3.4 ± 1.5
9: (4)	80	0.5	1.5–7.5	N/A	N/A	10 ± 6