Serial/Series Title

Betatron Oscillations and Equilibrium Orbits in Terms of Amplitude and Phase Functions (open access)

Betatron Oscillations and Equilibrium Orbits in Terms of Amplitude and Phase Functions

"Formulas are given to express the general particle trajectory and the equilibrium orbit for a slightly disturbed synchrotron in terms of the amplitude and phase functions for the ideal machine. If these functions are known, orbit computations can be carried out by simple integration procedures. The formalism is expected to be useful especially for considerations such as beam alignment or generation of an external electron beam. Some equations given earlier are repeated for completeness."
Date: January 7, 1958
Creator: Steffen, K. G.
System: The UNT Digital Library