Dynamics of self-accelerating electron beams in a homogeneous magnetic field

We examine the dynamics of electron beams that, in free space, are self-accelerating, presence an additional magnetic field. focus our attention case Airy that follow parabolic trajectories and generalized classes associated with power-law trajectories. study interplay between beam self-acceleration circular motion caused by In beams, using integral representation, we find closed-form solutions for wavefunction. also derive asymptotic formulas both self-accelerating beams. A ray optics description is rather useful interpretation dynamics. Our results excellent comparison direct numerical simulations.