Comparison of Shielding Effect of Steady State Coherent Synchrotron Radiation Using the Image Charge Method and Frequency Analysis
Abstract
There have been several studies([1] J. S. Nodvick and D. S. Saxon, Phys. Rev.) 96, 180 (1954); [2] S. A. Kheifets and B. Zotter, CERN SL-95-92 (AP), 1995; [3] B. Murphy, S. Krinsky, and R. L. Gluckstern, Phys. Rev. E 35, 2584 (1996). on the shielding effect of the coherent synchrotron radiation (CSR) emitted by a Gaussian bunch on a circular orbit in the center plane between two parallel plates. A functional dependence of the beam and machine parameters was given in [2] using the asymptotic analysis in the frequency domain. It indicates the shielded CSR mainly arises from harmonics n_th < n < n_c, where the threshold harmonic is n_th = √2/3(π ρ /h)^3/2, and harmonic cutoff is nc = ρ/σ (ρ: bend radius, h: spacing between plates, σ_s: bunch rms length). In this paper, we extend the frequency domain analysis to the parameter regime n_th > n_c, and the result is compared with the steady state CSR power obtained using the image charge method.
- Publication:
-
APS Meeting Abstracts
- Pub Date:
- May 1997
- Bibcode:
- 1997APS..PAC..2V24L