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THE EGS5 CODE SYSTEM

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The various parameters needed to sample the secondaries’ energies for the bremsstrahlung and<br />

pair production interactions are computed in the PEGS routine DIFFER. The parameters are stored<br />

for each medium during execution of EGS in COMMON/BREMPR/.<br />

One other use for the bremsstrahlung cross section is for computing the mean energy loss per<br />

unit length of an electron due to emission of soft photons (i.e., those with energy below the photon<br />

cutoff energy A p ). This is given by<br />

which will be discussed in Section 2.13.<br />

−<br />

( )<br />

∫ d Ĕ<br />

AP<br />

=<br />

dx<br />

Soft Brem<br />

0<br />

( )<br />

d˘ΣBrem<br />

˘k<br />

d˘k<br />

d˘k (2.148)<br />

2.7.1 Bremsstrahlung Photon Angular Distribution<br />

So far we have only discussed the selection of the energy of the secondaries. Since these are interactions<br />

with three body final states, the polar angles of the secondary particles are not uniquely<br />

determined by the secondary energies, and a complete simulation would sample from some appropriate<br />

distributions. However the angles at which products from these reactions are usually emitted<br />

are small compared to angular deviations resulting from multiple scattering. Previous versions of<br />

EGS therefore assumed that the direction of an electron emitting bremsstrahlung is unchanged,<br />

that a bremsstrahlung photon is emitted at an angle relative to the incident electron direction,<br />

θ = m/Ĕ0, and that pair produced particles have production angles relative to the incident photon<br />

direction given by θ = m/˘k. The azimuthal angle for the first product particle is chosen randomly<br />

and the other product particle is given the opposite azimuth.<br />

The above model of the angular distribution of newly created bremsstrahlung photons may be<br />

overly simple for some applications. The angle given by m/˘k is a good estimate of the expected<br />

average scattering angle, and at high energies, where the distribution is strongly peaked in the<br />

forward direction, more accurate modeling of scattering angles does not significantly improve the<br />

accuracy of shower simulations. Additionally, at low energies, particularly in thick targets, the effect<br />

of multiple scattering of the initiating electrons greatly overwhelms the impact of photon angular<br />

distributions in defining the development of the shower, and the extra effort and computing time<br />

necessary to implement bremsstrahlung angular distribution sample is not worthwhile.<br />

While it was recognized that the above argument may break down for applications involving<br />

thin target bremsstrahlung spectra, it was discovered that the above assumption about multiple<br />

scattering dominance does not apply even for thick targets at low energies (10 MeV or so) for<br />

narrow beams such as those employed in some medical linacs for producing photon beams for<br />

radiotherapy[54]. Thus, options for more accurate modeling of bremsstrahlung scattering angles in<br />

EGS have been developed.<br />

54

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