We observe microwave multiphoton transitions in Rydberg states of Na u
sing intense subnanosecond half-cycle electric field pulses in a micro
wave transmission line. Transition probabilities from ns and n*d stat
es, ranging in principal quantum number from 18 to 40, to nearby nl (
greater than or equal to 22) states are measured both as a function of
pulse amplitude and the delay between two identical temporally spaced
pulses. The transition rate depends strongly on both the pulse amplit
ude and the temporal delay between the two pulses. Nearly 100% of the
population can be transferred for certain amplitudes of the half-cycle
pulse. Transition probabilities are successfully described both with
a dynamic Stark model and direct numerical integration of the time-dep
endent Schrodinger equation. Ramsey interference between two delayed p
ulses is observed that shows strong-field behavior. The two-pulse expe
riment is a technique for high-order multiphoton spectroscopy without
concern for ac Stark shifts.