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Energy Moment Method for Straggling of an Ultra-Relativistic Electron Beam.
NAVAL RESEARCH LAB WASHINGTON D C
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High energy electrons propagating in matter are subject to energy loss due to single particle interactions, i.e. bremsstrahlung radiation and ionizing collisions with ambient atoms. In addition, if the electrons propagate in a high current beam, inductive electric fields arising from the current changes at the front and rear of the beam pulse can have a significant retarding effect on the beam electrons energy extracted in this way can be dissipated resistively in currents driven in the ambient medium in some cases, some of the energy goes into accelerating electrons at the pulse tail. As a result of these three mechanisms, the mean energy of propagating electrons falls off, and an energy spread develops. In general, one can define an energy spectrum fE, t, as a function of propagation distance t.
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