We report on experiments of multiple-beam atom interferometry in the time d
omain. Laser-cooled and trapped atoms interact with atomic "multiple beam s
plitters" realized by time sequences of resonant laser pulses. The output s
ignals of the interferometers show Fabry-Perot-like high-finesse interferen
ce structures. The number of interfering de Broglie waves is adjustable and
in principle not limited in this scheme. We present the experimental reali
zation of up to 160 interfering partial waves. [S1050-2947(99)04303-6].