R. Svensson et A. Brahme, EFFECTIVE SOURCE SIZE, YIELD AND BEAM PROFILE FROM MULTILAYERED BREMSSTRAHLUNG TARGETS, Physics in medicine and biology, 41(8), 1996, pp. 1353-1379
Modem conformal radiotherapy benefits from heterogeneous dose delivery
using scanned narrow bremsstrahlung beams of high energy in combinati
on with dynamic double focused multi-leaf collimation and purging magn
ets. When using a purging magnet to remove electrons and positrons the
target space is limited and unorthodox thin multi-layered targets are
needed. A computational technique has therefore been developed to det
ermine the forward yield and the angular distributions of the bremsstr
ahlung beam as well as the size and location of the effective and the
virtual photon point source for arbitrary multi-layer bremsstrahlung t
argets. The Gaussian approximation of the diffusion equation for the e
lectrons has been used and convolved with the bremsstrahlung productio
n process. For electrons with arbitrary emittance impinging on targets
of any multi-layer and atomic number combination, the model is well a
pplicable, at least for energies in the range 1-100 MeV. The intrinsic
bremsstrahlung photon profile has been determined accurately by decon
volving the electron multiple scattering process from thin experimenta
l beryllium target profiles. For electron pencil beams incident on a t
arget of high density and atomic number such as tungsten, the size of
the effective photon source stays at around a tenth of a millimetre. T
he effective photon source for low-Z materials such as Be, C and Al is
located at depths from 3-7 mm in the target, decreasing with increasi
ng atomic number. The effective photon source at off-axis positions th
en moves out considerably from the central axis, which should be consi
dered when aligning collimators. For high-Z materials such as tungsten
, the location of the effective photon source is at a few tenths of a
millimetre deep. The virtual photon point source is located only a few
tenths of a millimetre upstream of the effective photon source both f
or high- and low-Z materials. For 50 MeV electrons incident on multi-l
ayered full range targets the radial energy fluence distributions will
have a full width at half maximum (FWHM) of 80 to 100 mm at 1 m from
the target. The best target composition made of two layers when the sp
ace is limited to 15 mm was found to be 9 mm Be followed by 6 mm W. A
thin beryllium target (similar to 3 mm) results in a high-intensity br
emsstrahlung lobe with a FWHM of about 35 mm at the isocentre. Interes
tingly, the forward dose rate in such a beam is as high as 62% of the
maximum achievable with an optimal target design, even if on average o
nly 1 MeV is lost by the electrons.