Longitudinal wakefield for synchrotron radiation

Scaling law of coherent synchrotron radiation in a rectangular chamber

“…The renewed experimental interests and diagnostics [11] provided by the radiation itself allows precision characterization of the threshold of this instability. Most recent observations [12][13][14] are in good agreement with a simple scaling law [15,16], which is derived based on the parallelplate wake [4]. But why does the theory work so well even without sidewalls?…”

“…Recently, the investigation has been extended to include the transient effect [17][18][19] under the paraxial approximation. In this paper, we will continue these works with a focus on the wakefield and impedance generated by a point charge and its scaling property similar to those found by Murphy, Krinsky, and Gluckstern [4] in the parallel plate model.…”

“…Essentially the same result was found later [2] by Nodvick and Saxon. Since then, mostly theoretical works [3,4] continued along a path of calculating its wake and impedance.…”

Wake fields and energy spread for the ERHIC ERL

“…In terms of the wake functions closed form expressions were derived in Ref. [6]. A direct summation of image charges was recently used in Ref.…”

Study of the frequency multiplication process in a multistage HGHG FEL

“…When an electron bunch passes the demodulator dispersion sections, radiative interaction induces an additional energy spread in the electron bealll. The problem connected with radiative interaction of the particles in the line-charge bunch with sinusoidal density excitation moving in a bending magnet has been investigated an alytically [16,17]. If we neglect the beam transverse size effects, the CSR induced energy spread is predicted to be roughly This n1eans that CSR effects should not be a serious limitation for the adopted design.…”