Explicit expression for the photon number emission in synchrotron radiation

Details Explicit expression for the photon number emission in synchrotron radiation Explicit expression for the photon number emission in synchrotron radiation

2004-11-18

arxiv.org/abs/physics/0411165v1

Phys. Lett. A 268 (2000) 35-36

Physics

Accelerator Physics

LaTeX, 3 pages, no figure

Scientific paper

10.1016/S0375-9601(00)00158-4

An explicit and remarkably simple one-dimensional integral expression is derived for the mean number $$ of photons emitted per revolution in synchrotron radiation. The familiar high-energy expression $5\pi\alpha/\sqrt{3(1-\beta^2)}$, printed repeatedly in the literature, is found to be inaccurate and only truly asymptotic with relative errors of 160%, 82% for $\beta=0.8$, 0.9, respectively. A new improved high-energy expression for $$ is given.

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