We present observations of the radiation produced by electrons making multi
ple passes through thin targets in a betatron. We show the influence of mul
tiple passes on the distribution of electrons and on the angular distributi
on of bremsstrahlung. Measurements of electron-beam spots and bremsstrahlun
g distributions have been performed for 15-33 MeV electrons and target thic
knesses of 10(-5)-3.5 x 10(-3) radiation lengths. Estimates of the number o
f passes were obtained for thin targets by comparing them with 1.3 mm thick
W and 1.5 mm thick Cu targets, through which electrons pass only once. The
numbers of 33 MeV electron passes observed were 460 for 3 mum Mylar, 200 f
or 20 mum Be, 171 for 5 mum Cu and 30 for 15 mum Cu foils. The multiple pas
s effect can be useful in the future for increasing the efficiency of novel
X-ray sources, such as transition and parametric radiators. (C) 2001 Elsev
ier Science B.V. All rights reserved.