  Based on quantum counterfactual interaction-free measurement, we propose an
implementation scheme for a beam splitter with anomalous reflection and
transmission properties that looks impossible at first glance. Our scheme is
stationary without requiring switchable mirrors and polarization rotators.
Using the scheme for imaging will ensure that the optical radiation received by
the object being imaged can be arbitrarily low. Thus it enables applications
such as stealthy night vision devices that can work without detectable ambient
light, or being used as a hackware against some counterfactual quantum
cryptographic protocols.
