We discuss an architecture and underlying technologies of terabit-per-second network with the spectral-domain modulation. The baseline architecture is TDM which exploits our techniques for imposing > 1000 pixel phase and amplitude modulation on the spectrum of a 100 fs laser pulse, using microsecond radiofrequency pulse trains, for all-optical demultiplexing to efficiently select 100 fs-100 ps time slices. The network architectures we will initially explore is a single-hop star network that uses an active star coupler as a shared medium. We will also explore a WDM/TDM network with a waveguide grating router as its hub.