  Cylindrical implosions driven by intense heavy ions beams should be
instrumental in a near future to study High Energy Density Matter. By rotating
the beam by means of a high frequency wobbler, it should be possible to deposit
energy in the outer layers of a cylinder, compressing the material deposited in
its core. The beam temporal profile should however generate an inevitable
irradiation asymmetry likely to feed the Rayleigh-Taylor instability (RTI)
during the implosion phase. In this paper, we compute the Fourier components of
the target irradiation in order to make the junction with previous works on RTI
performed in this setting. Implementing a 1D and 2D beam models, we find these
components can be expressed exactly in terms of the Fourier transform of the
temporal beam profile. If $T$ is the beam duration and $\Omega$ its rotation
frequency, "magic products" $\Omega T$ can be identified which cancel the first
harmonic of the deposited density, resulting in an improved irradiation
symmetry.
