  At sufficiently large transport currents $I_\mathrm{tr}$, a defect at the
edge of a superconducting strip acts as a gate for the vortices entering into
it. These vortices form a jet, which is narrow near the defect and expands due
to the repulsion of vortices as they move to the opposite edge of the strip,
giving rise to a transverse voltage $V_\perp$. Here, relying upon the equation
of vortex motion under competing vortex-vortex and $I_\mathrm{tr}$-vortex
interactions, we derive the vortex jet shapes in narrow ($\xi\ll
w\lesssim\lambda_\mathrm{eff}$) and wide ($w\gg\lambda_\mathrm{eff}$) strips
[$\xi$: coherence length, $w$: strip width, $\lambda_\mathrm{eff}$: effective
penetration depth]. We predict a nonmonotonic dependence
$V_\perp(I_\mathrm{tr})$ which can be measured with Hall voltage leads placed
on the line $V_1V_2$ at a small distance $l$ apart from the edge defect and
which changes its sign upon $l\rightarrow -l$ reversal. For narrow strips, we
compare the theoretical predictions with experiment, by fitting the
$V_\perp(I_\mathrm{tr},l)$ data for $1\,\mu$m-wide MoSi strips with single edge
defects milled by a focused ion beam at distances $l = 16$-$80$\,nm from the
line $V_1V_2$. For wide strips, the derived magnetic-field dependence of the
vortex jet shape is in line with the recent experimental observations for
vortices moving in Pb bridges with a narrowing. Our findings are augmented with
the time-dependent Ginzburg-Landau simulations which reproduce the calculated
vortex jet shapes and the $V_\perp(I_\mathrm{tr},l)$ maxima. Furthermore, with
increase of $I_\mathrm{tr}$, the numerical modeling unveils the evolution of
vortex jets to vortex rivers, complementing the analytical theory in the entire
range of $I_\mathrm{tr}$.
