A coupled magnetospheric-ionospheric (M-I) MHD model has been used to
simulate the formation of Sun-aligned polar cap arcs for a variety of
interplanetary magnetic field (IMF) dependent polar cap convection fie
lds. The formation process involves launching an Alfven shear wave fro
m the magnetosphere to the ionosphere where the ionospheric conductanc
e can react self-consistently to changes in the upward currents. We as
sume that the initial Alfven shear wave is the result of solar wind-ma
gnetosphere interactions. The simulations show how the E region densit
y is affected by the changes in the electron precipitation that are as
sociated with the upward currents. These changes in conductance lead t
o both a modified Alfven wave reflection at the ionosphere and the gen
eration of secondary Alfven waves in the ionosphere. The ensuing bounc
ing of the Alfven waves between the ionosphere and magnetosphere is fo
llowed until an asymptotic solution is obtained. At the magnetosphere
the Alfven waves reflect at a fixed boundary. The coupled M-1 Sun-alig
ned polar cap arc model of Zhu et al. (1993a) is used to carry out the
simulations. This study focuses on the dependence of the polar cap ar
c formation on the background (global) convection pattern. Since the p
olar cap arcs occur for northward and strong B(y)IMF conditions, a var
iety of background convection patterns can exist when the arcs are pre
sent. The study shows that polar cap arcs can be formed for all these
convection patterns; however, the arc features are dramatically differ
ent for the different patterns. For weak sunward convection a relative
ly confined single pair of current sheets is associated with the impos
ed Alfven shear wave structure. However, when the electric field excee
ds a threshold, the arc structure intensifies, and the conductance inc
reases as does the local Joule heating rate. These increases are faste
r than a linear dependence on the background electric field strength.
Furthermore, above the threshold, the single current sheet pair splits
into multiple current sheet pairs. For the fixed initial ionospheric
and magnetospheric conditions used in this study, the separation dista
nce between the current pairs was found to be almost independent of th
e background electric field strength. For either three-cell or distort
ed two-cell background convection patterns the arc formation favored t
he positive B(y) case in the northern hemisphere.