A compact, high repetition rate, extreme ultraviolet/soft x-ray laser and method for generating such radiation are described. Excitation of the gaseous or vaporous lasing medium is achieved by discharging energy stored in a solid-dielectric capacitive device through a capillary channel containing the medium. By reducing the inductance of the discharge apparatus, excitation of the laser medium can be achieved without the use of Marx generators. Neon-like Ar atom laser pulses at 46.9 nm having energies of about 13 .mu.J are generated at repetition rates up to 12 Hz. Between 2 and 3.times.10.sup.4 laser shots can be generated using a single capillary. Such a source of intense, short-wavelength radiation can be used for applications which include surface characterization of materials, high resolution imaging and printing, photochemistry and photophysics, laser ablation, characterization of x-ray optics, and dense plasma diagnostics.