Abstract
This paper consists of two main parts regarding coherent synchrotron radiation (CSR). The first part extends the CSR theory of two particle interaction from a system of one bending magnet to two bending magnets, where the wake can leak from the first to the second. The new theory agrees well with the established simulation code Bmad. The second part of the paper presents the CSR simulation results on CBETA, the Cornell BNL Energy-Recovery-Linac (ERL) Test Accelerator, in which the magnets are so close to each other and the new extended theory becomes important. CBETA is the first multiturn ERL with superconducting radio frequency (SRF) accelerating cavities and a Fixed Field Alternating gradient (FFA) beamline. Simulations show that CSR causes phase space dilution that becomes more significant as the bunch charge and the number of recirculation passes increase. Potential ways to mitigate the CSR effects, including adding vacuum chamber shielding and increasing bunch length, are being investigated.
Highlights
Synchrotron radiation occurs when an electron traverses a curved trajectory, and the radiation emitted can give energy kicks to the other electrons in the same bunch.While the high frequency components of the radiation spectrum tend to add up incoherently, the low frequency components, with wavelength on the order of the bunch length, can add coherently
While the total intensity for ISR scales linearly with the number of charged particles (Np), it scales as 2 p for coherent synchrotron radiation (CSR)
The most elementary CSR theory studies the interaction of two electrons passing through one bending magnet, and the CSR wake w 1⁄4 dECSR=cdt has been derived for four different cases (A,B,C,D) in [1], depending on the location of the source and the observation points within or outside
Summary
While the high frequency components of the radiation spectrum tend to add up incoherently, the low frequency components, with wavelength on the order of the bunch length, can add coherently. These are termed incoherent and coherent synchrotron radiation respectively (ISR and CSR). ÐTsh0Þedsa0ppfroorxiamnateadrbiwtraakrye expressions WðsÞ 1⁄4 longitudinal bunch distribution λðsÞ have been calculated for the four cases in [2].
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