By Pei Zhang
An lively charged particle beam brought to an rf hollow space excites a wakefield therein. This wakefield might be decomposed right into a sequence of upper order modes and multipoles, which for small enough beam offsets are ruled by way of the dipole part. This paintings makes a speciality of utilizing those dipole modes to observe the beam place in 3rd harmonic superconducting S-band cavities for mild resource purposes. A rigorous exam of numerous technique of analysing the beam place in keeping with signs radiated to better order modes ports is gifted. Experimental effects point out a place solution, in response to this system, of 20 microns over an entire module of four cavities. equipment also are indicated for bettering the answer and for making use of this system to different hollow space configurations. This paintings is exceptional via its readability and power for software to numerous different overseas amenities. the cloth is gifted in a didactic kind and is usually recommended either for college kids new to the sphere, and for scientists well-versed within the box of rf diagnostics.
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Extra info for Beam Diagnostics in Superconducting Accelerating Cavities: The Extraction of Transverse Beam Position from Beam-Excited Higher Order Modes
3), therefore modes in this band do not depend on the boundary conditions. This can be seen in Fig. 9a as the overlap of asterisks and circles. Some dipole modes in the fifth dipole band and the first two modes in the first dipole band are trapped within the cavity, which explains the consistency of results from EE and MM boundary conditions in Fig. 9b. Large deviations for different boundary conditions can be clearly seen in other dipole bands as they are propagating amongst cavities. 10a–d show the R/Q value versus the frequency of each mode for both EE and MM boundary conditions.
Wang, Tuner effect on the field flatness of SNS superconducting RF cavity. JLAB Note: JLAB-TN-03-043 (2003) 7. P. Zhang, N. M. R. Shinton, T. W. Glock, A study of beam position diagnostics using beam-excited dipole modes in third harmonic superconducting accelerating cavities at a free-electron laser. Rev. Sci. Instrum. 83, 085117 (2012) 8. MAFIA Release 4. CST AG, Darmstadt, Germany 9. ANSYS®HFSS. , USA 10. R. , Compendium of eigenmodes in third harmonic cavities for FLASH and the XFEL. DESY Report: DESY 12-053 (2012) 11.
1 HOM spectra (a) measured from coupler C1H1 for 184 transverse beam positions (b) at the center of C1 Fig. 2 Calibration and validation samples (a, b). Spectra are measured from HOM coupler C1H1. The beam positions are interpolated into C1 (c) was reprinted with permission from . Copyright 2012, American Institute of Physics A is a m × n matrix. ai ∈ Rm is the ith column of A, which contains values of the ith sampling point from all m spectra. In our case, each spectrum has 6241 sampling points, therefore n = 6241.