Table 3.

Average percentage difference, $\Delta \frac{\overline{H}}{D}$, and maximum percentage difference, ${\left(\Delta \frac{H}{D}\right)}_{\max }$, between H/D values calculated by Monte Carlo method and the analytical model along CAX. E_p denotes the proton beam energy, and z is the depth in the phantom.

Ep (MeV)	$\Delta \frac{\overline{H}}{D}$ (%)	${\left(\Delta \frac{H}{D}\right)}_{\max }$ (%)	z at ${\left(\Delta \frac{H}{D}\right)}_{\max }$ (cm)
100	21.7	62.5	40
120	15.5	42.0	40
140	11.4	30.6	40
160	9.0	18.0	40
180	6.9	15.5	1
200	4.9	17.3	37
225	5.8	12.9	1
250	2.5	9.9	34