Table 1.

Results of 10 independent trials comparing MC calculations with the SOE algorithm predictions of the beam depths at which the gamma emission reaches a maximum and falls off to 90%, 50%, and 20% of its maximum value. Also shown are the means and sample standard deviations (σ) of the 10 trials. For each trial, the SOE algorithm was run with VPP value 1.0 mm³, 10,000 iterations, and 1M gammas.

Trial	Beam depth (mm) of emission level
	Maximum emission			90% of Maximum			50% of Maximum			20% of Maximum
	MC	SOE	SOE – MC	MC	SOE	SOE – MC	MC	SOE	SOE – MC	MC	SOE	SOE – MC
1	85.62	85.99	−0.37	86.55	86.99	−0.44	87.63	87.89	−0.27	88.48	89.00	−0.52
2	85.62	85.96	−0.34	86.55	86.25	0.30	87.63	87.24	0.39	88.48	88.23	0.25
3	85.61	85.93	−0.32	86.58	86.13	0.45	87.66	87.59	0.07	88.46	88.27	0.19
4	85.62	85.35	0.27	86.55	86.12	0.43	87.63	88.04	−0.42	88.48	88.25	0.23
5	85.70	85.83	−0.13	86.51	86.62	−0.11	87.61	87.97	−0.36	88.46	88.96	−0.50
6	85.65	86.65	−1.00	86.50	87.04	−0.54	87.64	87.29	0.35	88.48	88.26	0.22
7	85.62	84.43	1.19	86.55	86.10	0.45	87.63	87.99	−0.36	88.48	88.32	0.16
8	85.61	85.42	0.19	86.53	86.31	0.22	87.62	87.27	0.35	88.44	88.23	0.21
9	85.62	85.46	0.16	86.55	86.25	0.30	87.63	87.99	−0.36	88.48	88.30	0.18
10	85.56	85.34	0.22	86.49	86.98	−0.50	87.63	87.27	0.36	88.48	88.98	−0.50
Mean	85.62	85.63	−0.01	86.54	86.48	0.06	87.63	87.66	−0.03	88.47	88.48	−0.01
σ	0.03	0.59	0.57	0.03	0.39	0.41	0.01	0.35	0.36	0.01	0.35	0.35

Abbreviations: MC, Monte Carlo; SOE, stochastic origin ensemble.