We present a one-dimensional coupled ring resonator lattice exhibiting a
variant of the non- Hermitian skin effect (NHSE) that we call the anomalous
Floquet NHSE. Unlike existing approaches to achieving the NHSE by engineering
gain and loss on different ring segments, our design uses fixed on-site gain or
loss in each ring. The anomalous Floquet NHSE is marked by the existence of
skin modes at every value of the Floquet quasienergy, allowing for broadband
asymmetric transmission. Varying the gain/loss induces a non-Hermitian
topological phase transition, reversing the localization direction of the skin
modes. An experimental implementation in an acoustic lattice yields good
agreement with theoretical predictions, with a very broad relative bandwidth of
around 40%.Comment: 7 pages, 3 figure
