An x-ray source that can produce high-brilliance x-rays at a low cost and from a small footprint includes a radiofrequency (RF) photoinjector, an accelerator module (such as a linear superconducting accelerator moducle), a high-power optical laser apparatus, and a passive enhancement cavity. A stream of photons generated by the laser apparatus is accumulated in the enhancement cavity, and an electron stream from the photoinjector are then directed through the enhancement cavity to collide with the photons and generate high-brilliance x-rays via inverse-Compton scattering.