  We report on the observation of a non-uniform dark count rate in
Superconducting Nanowire Single Photon Detectors (SNSPDs), specifically
focusing on an afterpulsing effect present when the SNSPD is operated at a high
bias current regime. The afterpulsing exists for real detection events
(triggered by input photons) as well as for dark counts (no laser input). In
our standard set-up, the afterpulsing is most likely to occur at around 180 ns
following a detection event, for both real counts and dark counts. We
characterize the afterpulsing behavior and speculate that it is not due to the
SNSPD itself but rather the amplifiers used to boost the electrical output
signal from the SNSPD. We show that the afterpulsing indeed disappears when we
use a different amplifier with a better low frequency response. We also examine
the short-lived enhancement of detection efficiency during the recovery of the
SNSPD due to temporary perturbation of the bias and grounding conditions.
