We observe transitions between Rydberg states driven by intense 500-ps-wide
half-cycle electric-field pulses in a microwave transmission line. Using t
wo identical temporally spaced pulses we can perform spectroscopic measurem
ents. We have measured fine-structure intervals between the d(3/2) and d(5/
2) states in Na and K using this technique. The frequency measurements span
two orders of magnitude and are an order of magnitude more accurate than p
revious direct measurements of these transitions and more than a factor of
2 more accurate than previous high-precision microwave measurements.