Multiscale Modeling of a Short Relativistic Electron Bunch Interacting With Long Resistive Structures at Cryogenic Temperatures

Wake field simulation of a beam dechirper using magnetically semi-implicit cylindrical FDTD scheme based on the scattered-field formulation

“…[2]) have been developed. In this context, the author has proposed the dispersionless FDTD scheme [3] based on the Newmark-beta method [4,5] for solving Maxwell's equation in the presence of the bunch current in cylindrical grids, and ap-plied to beam pipes and a step collimator. When the so-called Newmark parameter is chosen to be zero, the proposed scheme can be reduced into the explicit scheme [1].…”

“…In the previous study [3], the Gaussian bunch is modeled and its bunch current is directly included in its formulation. As a result, an additional current term with the Newmark parameter appears even in the semi-implicit magnetic field update equation while such a current term does not exist in the magnetic field update equation of the explicit scheme [1].…”

“…As a result, an additional current term with the Newmark parameter appears even in the semi-implicit magnetic field update equation while such a current term does not exist in the magnetic field update equation of the explicit scheme [1]. It has been shown in [3] that it is important to carefully treat the additional current term for accurately calculating the wake field in the vicinity of the bunch current. If the additional current term is ignored, as mentioned in [3], an unphysical error can be caused in the calculation of short-range wake potential.…”

“…It has been shown in [3] that it is important to carefully treat the additional current term for accurately calculating the wake field in the vicinity of the bunch current. If the additional current term is ignored, as mentioned in [3], an unphysical error can be caused in the calculation of short-range wake potential. Therefore, it cannot be omitted.…”

“…As discussed later, this scheme has no additional current term. Therefore, its implementation will be simpler than that of the previous one [3].…”