  We study the transport of a quantum particle through square lattices of
various sizes by employing the tight-binding Hamiltonian from quantum
percolation. Input and output semi-infinite chains are attached to the lattice
either by diagonal point to point contacts or by a busbar connection. We find
resonant transmission and reflection occuring whenever the incident particle's
energy is near an eigenvalue of the lattice alone (i.e., the lattice without
the chains attached). We also find the transmission to be strongly dependent on
the way the chains are attached to the lattice.
