Counts Rate (44 MeV LINAC)

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LINAC parameters used in calculations

1) pulse width 50 ns
2) pulse current 50 A
3) repetition rate 300 Hz
4) energy 44 MeV

number of electrons/sec on radiator

[math] 50ps \times 50A \times 300Hz \times \frac{1\cdot e^-}{1.6\cdot 10^{-19}C} = 0.47 \cdot 10^{13} \frac{e^-}{sec}[/math]

number of photons/sec from radiator

Bremsstrahlung

from plot above we have about 0.1 photons/electrons/MeV/r.l from 10 MeV to 20 MeV region

Radiation length

radiation length of Ti(Z=22)is 3.59 cm
Assume the radiator thickness is [math]12.5 \mu m[/math]

[math]3.59 cm/12.5\mu m = 3.48 \cdot 10^{-4} \ r.l.[/math]

steps together

[math]o.1 \frac{\gamma 's}{(e^-\ MeV\ r.l.)} \times 3.48 \cdot 10^{-4} r.l. \times 10\ MeV \times 0.47 \cdot 10^{13} \frac{e^-}{sec}=1.63 \cdot 10^{9} \frac{\gamma}{sec}[/math]