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Explicit expression for the photon number emission in synchrotron radiation

E. B. Manoukian·N. Jearnkulprasert
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Abstract

An explicit and remarkably simple one-dimensional integral expression is derived for the mean number $ $ of photons emitted per revolution in synchrotron radiation. The familiar high-energy expression $5πα/\sqrt{3(1-β^2)}$, 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 $ $ is given.

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E. B. Manoukian, N. Jearnkulprasert. 2004-11-18. Explicit expression for the photon number emission in synchrotron radiation. https://doi.org/10.1016/s0375-9601(00)00158-4

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