Abstract
In this chapter we will show how the radiation damping in electron and positron rings can be added to the Hamiltonian and Vlasov formalism, and calculate how radiation damping affects the energy, transverse actions and distribution function.
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Notes
- 1.
In our analysis we will assume that \(\rho \) does not depend on the transverse coordinates x and y ignoring the case of the so-called combined function magnets where such dependence exists.
Reference
Kenneth W. Robinson, Radiation effects in circular electron accelerators. Phys. Rev. 111(2), 373–380 (1958)
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Stupakov, G., Penn, G. (2018). Radiation Damping Effects. In: Classical Mechanics and Electromagnetism in Accelerator Physics. Graduate Texts in Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-90188-6_22
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DOI: https://doi.org/10.1007/978-3-319-90188-6_22
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