Methods and apparatus for generation of radiation by high harmonic generation, HHG. The apparatus comprises: a chamber for holding a vacuum, the chamber comprising a radiation input, a radiation output and an interaction region at which, in use, a medium is present, the chamber being arranged such that, in use, when driving radiation propagates through the radiation input and is incident upon the medium, the medium emits radiation via HHG, the emitted radiation propagating through the radiation output; and at least one plasma generator at the radiation input and/or the radiation output for generating a plasma volume allowing the driving radiation and emitted radiation, respectively, to propagate through the plasma volume.