We present a novel multiwavelength, time-division multiplexed laser design that continuously cycles through N spectrally narrow wavelengths, spending a specified, fixed time on each one. The design is based on a matched compressor/stretcher and a custom waveform generator applying modulation preferably to the gain medium. The realization discussed here utilizes a pulsed semiconductor optical amplifier in an all-fiber cavity containing fiber Bragg gratings. The laser cycles through 19 wavelengths in a $44\mathrm{nm}$ wide spectral band $(1333–1377\mathrm{nm})$ every $15\mathrm{\mu }\mathrm{s}$ . The source contains no moving parts, offers high repetition rates, narrow spectral linewidths, and custom spectral profiling of the output.