Beam coupling impedances for perforated beam pipes with general shape from impedance boundary conditions

Abstract

An equivalent wall impedance to describe the electromagnetic boundary conditions at perforated pipe walls is introduced. The new impedance boundary condition, together with general formulas for computing longitudinal and transverse beam coupling impedances in complex heterogeneous pipes, provides a good trade-off between computational accuracy and ease.

Cherenkov radiation of a charge exiting open-ended waveguide with dielectric filling

“…Third, various vacuum "embedded" structures have been investigated previously for a number of applications. For example, one could mention extensive studies of various inhomogeneities of the "liner" (the inner metallic pipe shielding the outer cooled pipe from the parasitic heating of synchrotron radiation) of the high current storage rings of the superconducting colliders [26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42]. Some of these structures are very close in geometry to the structure discussed in the present paper (in the case without dielectric loading), for example, [32,36,37].…”

Open cell conducting foams for high synchrotron radiation accelerators

“…where the superfix (e) identifies the total external polarizability of the holes/slots in wall with thickness ∆, and [44], [45]…”

Conducting Foams for High Synchrotron Radiation Accelerators

“…For a thin liner with radius a in a co-axial tube of radius b > a and wall impedance Z cb (LHC) Z h becomes [23] the parallel combination of ıX …”