  In the last two decades, the ubiquitous effect of dissipation has proven to
entail astonishing non-Hermitian features, rather than just being an
inescapable nuisance. As an alternative route to non-Hermiticity, we tailor the
anisotropy of a lattice, which constitutes an, up to now, barely exploited
degree of freedom. In this case, the appearance of an interface dramatically
alters the entire eigenmode spectrum, leading to the exponential localization
of all modes at the interface, which goes beyond the expectations for Hermitian
systems. This effect is dubbed "non-Hermitian skin effect". We experimentally
demonstrate it by studying the propagation of light in a large scale photonic
mesh lattice. For arbitrary excitations, we find that light is always
transported to the interface, realizing a highly efficient funnel for light.
