New Longitudinal Beam Impedance Formula with 8 Terms

O. E. Berrig & F. Paciolla
A previous formula for longitudinal beam impedance was developed by H. Tsutsui and consists of 13 terms. The formula by H. Tsutsui is developed up to terms of second order in the transverse offsets. In this report we develop a new formula, which use symmetries from the Lorentz reciprocity principle and the multipolar decomposition of transverse fields to reduce the number of terms from 13 to 8. This new formula is also developed up to...
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