A system and method reconstructs RF sources in k-space by utilizing interference between RF signals detected by an array of antennas. The system and method may include detecting an RF interference pattern resulting from interference between RF signals in an RF coupler, where the RF signals are detected by the antennas and provided to the RF coupler by RF waveguides. The RF waveguides may have unequal RF path lengths. K-space information of the RF sources may be reconstructed from the detected RF interference pattern using known tomography reconstruction methods.