Transverse Beam Dynamics including Aberration Effects in the Thermal Wave Model using a Functional Method

We studied the transverse beam dynamics including aberration effects of sextupole and octupole perturbations in a thermal wave model. A functional integration method was used to calculate the first-order perturbation effects. We found that the model successfully explains a PARMILA simulation results for proton beams without space-charge effects in a FODO lattice.