Comparison of AMOS computer code wakefield real part impedances with analytic results

Mayhall, D J ; Nelson, S D

Lawrence Livermore National Laboratory

关键词: Monopoles;    Impedance;    Wavelengths;    Geometry;    Computer Calculations;   

DOI  :  10.2172/15005385
RP-ID  :  UCRL-ID-141698
RP-ID  :  W-7405-ENG-48
RP-ID  :  15005385

美国|英语

来源: UNT Digital Library

【 摘 要 】

We have performed eleven AMOS (Azimuthal Mode Simulator)[1] code runs with a simple, right circular cylindrical accelerating cavity inserted into a circular, cylindrical, lossless beam pipe to calculate the real part of the n = 1(dipole) transverse wakefield impedance of this structure. We have compared this wakefield impedance in units of ohms/m(Wm) over the frequency range of 0-1 GHz to analytic predictions from Equation (2.3.8) of Briggs et al[2]. The results from Equation (2.3.8) were converted from the CGS units of statohms to the MKS units of ohms({Omega}) and then multiplied by (2{pi}f)/c = {Omega}/c = 2{pi}/{lambda}, where f is the frequency in Hz, c is the speed of light in vacuum in m/sec, {omega} is the angular frequency in radians/sec, and {lambda} is the wavelength in m. The dipole transverse wakefield impedance written to file from AMOS must be multiplied by c/o to convert it from units of {Omega}/m to units of {Omega}. The agreement between the AMOS runs and the analytic predictions are excellent for computational grids with square cells (dz = dr) and good for grids with rectangular cells (dz < dr). The quantity dz is the fixed-size axial grid spacing, and dr is the fixed-size radial grid spacing. We have also performed one AMOS run for the same geometry to calculate the real part of the n = 0(monopole) longitudinal wakefield impedance of this structure. We have compared this wakefield impedance in units of {Omega} with analytic predictions from Equation (1.4.8) of Briggs et al[1] converted to the MKS units of {Omega}. The agreement between the two results is excellent in this case. For the monopole longitudinal wakefield impedance written to file from AMOS, nothing must be done to convert the results to units of {Omega}. In each case, the computer calculations were carried out to 50 nsec of simulation time.