  A recent experiment [Nature 579, 210--213 (2020)] probed the extent of the
Kondo cloud in 1D by measuring the effect of electrostatic perturbations
applied a distance $L$ away from the impurity on $T_K$. We study the Kondo
cloud in a model proposed to describe this experimental setup, consisting of a
single impurity Anderson model coupled to two semi-infinite 1D leads. In
agreement with the experimental results, we find that $T_K$ is strongly
affected by perturbations to the lead within the Kondo cloud. We obtain a
complementary picture of the Kondo cloud in this system by observing how the
Kondo state manifests itself in the local density of states of the leads, which
may be observed experimentally via scanning tunneling microscopy. Our results
support the existing experimental data and provide detailed predictions for
future experiments seeking to characterize the Kondo cloud in this system.
