Previously the radiation patterns of combined parallel and perpendicular
motions from the accelerated relativistic particle at low and high
frequencies of the bremsstrahlung process with an external lightning
electric field were explained. The primary outcome was that radiation
patterns have four relative maxima with two forward peaking and two
backward peaking lobes. The asymmetry of the radiation pattern, i.e.,
the different intensities of forwarding and backward peaking lobes, is
caused by the Doppler effect. A novel outcome is that bremsstrahlung has
an asymmetry of the four maxima around the velocity vector caused by the
curvature of the particle's trajectory as it emits radiation. This
extended work reports another novel asymmetry in the overall radiation
pattern. Previously stated bremsstrahlung asymmetry, R was an asymmetry
in the radiation lobe pairs about particles velocity vector.
Bremsstrahlung asymmetry used to occur at the same level in both forward
radiation lobe pairs and backward radiation lobe pairs. However, in
high-density mediums where the emitted wave can lag behind the speed of
the particle, symmetry of the magnitude of bremsstrahlung asymmetry, R
differs between forward peaking radiation lobe pairs relative to
backward peaking radiation lobe pairs. This is another novel asymmetry
and it causes bremsstrahlung asymmetry, R to be larger in the forward
peaking compared to backward peaking radiation. The outcome is the
shrink in radiation length that occurs in the backward peaking lobes.
This extended mathematical modeling of the bremsstrahlung process into
different high-density mediums helps to better understand the physical
processes of a single particle's radiation pattern, which might assist
the interpretation of observations with networks of radio receivers and
arrays of gamma-ray detectors.