A two-dimensional circuit for a traveling-wave tube for millimeter and sub-millimeter electromagnetic waves synchronously interacts with an electron beam in a vacuum electronic microwave amplifier or oscillator. The circuit is a solid body having a length along the tube axis. The solid body has an electrically conductive top section and an electrically conductive bottom section. The top section is configured with a plurality of vertical vanes having a width and height and configured parallel to each other. The bottom section is similarly configured such that when the circuit is viewed in cross section along the length, the vanes on the bottom section are staggered with respect to the vanes on the top section. The top section and the bottom section are separated from each other to define a tunnel through the solid body along the length.