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THE EGS5 CODE SYSTEM

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Although the transport mechanics algorithm in PRESTA contains good corrections for longitudinal<br />

and lateral displacements (as well as average energy), it has been abandoned in <strong>EGS5</strong>.<br />

This change was motivated primarily by the desire to eliminate PRESTA’s boundary algorithm,<br />

which, though theoretically the best way for handling elastic-scattering ambiguities in the vicinity<br />

of boundaries, is difficult to couple to general purpose combinatorial geometry codes, which may<br />

contain quadric and higher-order surfaces[28]. In the case of quadric surfaces, the determination of<br />

the closest distance to a boundary may involve solving for the roots of a sixth-order polynomial.<br />

While such algorithms may be devised, specifically designed with this application in mind[132],<br />

they are too slow for routine application.<br />

Thus, in addition to providing improved treatment of longitudinal and lateral displacement, the<br />

new transport mechanics of <strong>EGS5</strong> also yields advantages in computational speed compared to most<br />

models using a boundary sensitive approach. Although applications requiring boundary sensitivity<br />

must exist, we have yet to encounter any in practice. This is certainly an area that would benefit<br />

from more attention, as a boundary sensitive component could be added without much effort.<br />

Moreover, the current <strong>EGS5</strong> transport mechanics could be adapted easily to most tracking codes,<br />

which perform ray tracing in combinatorial geometries without boundary sensitivity.<br />

Bremsstrahlung angular distribution<br />

Bielajew et al.[29] modified EGS4 to allow for angular distributions employing the Schiff formula<br />

from a review article by Koch and Motz[91]. Standard EGS4 makes the approximation that the<br />

angle of the bremsstrahlung photon with respect to the initiating charged particle’s direction is<br />

Θ = 1/E 0 where E 0 is the initiating charged particle’s energy in units of the electron rest mass<br />

energy. It was acknowledged that this might be a bad approximation for thin-target studies, but<br />

it was expected that there would be no effect in thick-target studies since multiple scattering<br />

would “wash-out” the initial bremsstrahlung angular distribution and that an average value would<br />

be sufficient. However, thick-target studies in the radiotherapy range showed dramatic evidence of<br />

this approximation as a calculation artifact[54]. Angular distributions near the central axis changed<br />

by as much as 40%! Thick-target studies at diagnostic energies also showed the artifact which was<br />

eliminated through use of the new sampling technique[124]. This new capability was carried over<br />

to <strong>EGS5</strong>.<br />

ICRU37 collision and radiative stopping powers<br />

Duane et al.[52] modified PEGS4 to give collision stopping powers identical to those of ICRU Report<br />

37[20, 79]. The NBS (now NIST) database EPSTAR[148] which was used to create the ICRU tables<br />

was employed. The modifications also allow the user to input easily an arbitrary density-effect<br />

correction. This change is relatively small but crucial if one is doing detailed stopping-power-ratio<br />

studies[101, 137].<br />

In a related work, Rogers et al.[139] adapted PEGS4 to make the radiative stopping powers<br />

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