Coherent Synchrotron Radiation

Here are some notes on CSR in e- storage rings

An important parameter is the shielding parameter:

(1)
\begin{align} \chi = \frac{\sigma_z \sqrt{\rho}}{h^{\frac{3}{2}}} \end{align}

An expression for threshhold current is

(2)
\begin{align} \xi_{th} = 0.5 + 0.34\chi \end{align}

with

(3)
\begin{align} \xi = \frac{I_b\rho^{1/3}}{\sigma_z^{4/3}} \end{align}
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