Apparatuses that provide for secure wireless communications between wireless devices under cover of one or more jamming signals. Each such apparatus includes at least one data antenna and at least one jamming antenna. During secure-communications operations, the apparatus transmits a data signal containing desired data via the at least one data antenna while also at least partially simultaneously transmitting a jamming signal via the at least one jamming antenna. When a target antenna of a target device is in close proximity to the data antenna and is closer to the data antenna than to the jamming antenna, the target device can successfully receive the desired data contained in the data signal because the data signal is sufficiently stronger than the jamming signal within a finite secure-communications envelope due to the Inverse Square Law of signal propagation. Various related methods and machine-executable instructions are also disclosed.