In this article we discuss the betatron equations of motion for an e-beam propagating in a linearly polarized undulator. We include the magnetic field multipolar contributions and go beyond the usual harmonic approximation. The equations of motion are derived with the inclusion of anharmonic and transverse motion coupling terms. The single particle motion as well as the beam dynamics are carefully examined.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)