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Radiation damping in accelerator physics is a phenomenum where betatron oscillations and longitudinal oscilations of the particle are damped due to energy loss by synchrotron radiation. It can be used to reduce the beam emittance of a high-velocity charged particle beam.
Radiation damping occurs when an accelerating charged particle, such as an electron, emits electromagnetic radiation. This emission of radiation leads to a loss of energy from the particle, resulting in a damping force that opposes its motion.
What is the $Q$ of such an oscillator, caused by the electromagnetic effects, the so-called radiation resistance or radiation damping of the oscillator? The $Q$ of any oscillating system is the total energy content of the oscillator at any time divided by the energy loss per radian: \begin{equation*} Q=-\frac{W}{dW/d\phi}.
Because the oscillating (hence accelerating) electron itself radiates, the system loses energy, which is equivalent to saying that the motion is damped, and \(\gamma\) is the damping constant. Electromagnetic theory tell us that the rate of radiation of energy from an accelerating electron is
24 Μαΐ 2018 · 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.
19 Φεβ 2022 · At frequencies below the cut-off frequency , the plate edges are the main contributor to sound radiation and therefore, damping. As an assumption in rigid and infinite acoustic screens, we consider prevention of flow of the surrounding medium around the plate edges.
The loss of energy due to the emission of synchrotron radiation, and its replacement by the r.f. cavities, can give rise to a damping of the oscillations in energy and transverse displacement (synchrotron and betatron oscillations), a process known as "radiation damping".
