This invention provides a source of x-ray flux in which x-rays are produced by e-beams impacting the inner walls of holes or channels formed in a metal anode such that most of the electrons reaching the channel impact an upper portion of said channel. A portion of the electrons from this primary impact will generate x-rays. Most of the electrons scatter but they continue to ricochet down the channel, most of them generating x-rays, until the beam is spent. A single channel source of high power efficiency and high power level x-rays may be made in this way, or the source can be of an array of such channels, to produce parallel collimated flux beams of x-rays.