Fast sampling algorithm for the simulation of photon Compton scattering

Monte Carlo simulation of x-ray emission by kilovolt electron bombardment

“…The DCS for coherent scattering is the Rayleigh formula, with the atomic form factor given by a simple rational expression with parameters determined from a fit to the numerical form factors tabulated by Hubbell et al 25 Compton scattering is simulated by means of the relativistic impulse approximation, 26 which accounts for Doppler broadening and binding effects. It is worth noting that the impulse approximation describes Compton interactions with bound electrons, which may cause inner shell ionization and subsequent characteristic x-ray emission.…”

Radial Secondary Electron Dose Profiles and Biological Effects in Light-Ion Beams Based on Analytical and Monte Carlo Calculations using Distorted Wave Cross Sections

“…The resulting values are virtually identical to those given by the xcom program for E greater than ∼ 50 keV. At lower energies, our mean free paths for Compton scattering deviate from those given by xcom; these were calculated from a different theoretical model (Hubbell et al, 1975), which neglects Doppler broadening (see, e.g., Brusa et al, 1996). The evaluation of the total atomic cross section for these processes [see Eqs.…”

“…(2.42) with the analytical Compton profiles (2.53). The sampling algorithm adopted here is due to Brusa et al (1996). It is similar to the one described by Namito et al (1994), but has a higher efficiency.…”

“…(21) in Brusa et al, 1996] 30) where r e is the classical electron radius. E C is the energy of the Compton line, defined by Eq.…”

PENEPMA: a Monte Carlo programme for the simulation of X-ray emission in EPMA

“…Coherent (Rayleigh) scattering of photons is simulated by using the Born DCS with an analytical atomic form factor and theoretical anomalous scattering factors; incoherent (Compton) scattering uses DCSs calculated from the relativistic impulse approximation with analytical one-electron Compton profiles [15]; and photoelectric absorption is described by using total atomic cross-sections and partial cross-sections for the K-shell and L-, M-and N-subshells from the LLNL Evaluated Photon Data Library [16]. The initial direction of photoelectrons is sampled from Sauter's K-shell hydrogenic DCS.…”