  Radio pulsars exhibit several unexplained phenomena, in particular the
average pulse profiles with the apparent core-cone structure and interesting
frequency evolution. I show that they can be interpreted through essential
geometric properties of the inverse Compton scattering. If the scattering
occurs in a dipolar magnetosphere and the mean-free-path is long, a nested cone
structure is expected with the cone size ratio of two-thirds, which is
consistent with observations. Being a discontinuous process, the scattering is
consistent with the discrete altitude structure of emission rings as derived
from aberration-retardation effects. Assuming that the upscattered signal is
the curvature radiation (CR), one can interpret the observed bifurcated
components (BCs) as a magnified microbeam of CR: the BCs are wide low-frequency
CR microbeams that have been upshifted in frequency with their width preserved
by beam-copying scattering in divergent magnetic field. The large flux of BCs
is partly caused by compression of the full emitted spectrum into the narrow
observed bandwidth, which explains why the frequency-resolved BCs have the
frequency-integrated shape. The wide low-frequency microbeams can encompass
large magnetospheric volumes, which considerably abates the requirements of the
energy needed for coherency. The properties of BCs thus suggest that the
observed modulated radio flux is strongly affected by the scattering-driven
blueshift and spectral compression. The relativistic beaming formula (1/\gamma)
is not always applicable, in the sense that it may not be directly applied to
some blueshifted profile features.
