Explicit expression for the photon number emission in synchrotron radiation
E. B. Manoukian, N. Jearnkulprasert
Abstract
An explicit and remarkably simple one-dimensional integral expression is derived for the mean number <N> of photons emitted per revolution in synchrotron radiation. The familiar high-energy expression 5πα/3(1-β2), printed repeatedly in the literature, is found to be inaccurate and only truly asymptotic with relative errors of 160%, 82% for β=0.8, 0.9, respectively. A new improved high-energy expression for <N> is given.
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