A high-resolution single-chip spectrometer is disclosed. Embodiments of the present invention are analogous to Fourier-transform spectrometers; however, embodiments of the present invention have no moving parts. An illustrative embodiment is a spectrometer having a nested plurality of Mach-Zehnder interferometers (MZIs), where all MZIs share at least one surface-waveguide section in each of its sample and reference arms. The light signals in the sample and reference arms are tapped at a series of discrete locations along their length via electro-optically-controlled directional couplers, which are separated by uniform-length waveguide portions in each arm, but where the uniform lengths are different in the sample and reference arms providing a different path-length difference for the arms of each MZI. The tapped light from the sample and reference arms is recombined at a low-loss beam combiner to generate a distribution of optical power as a function of time-delay difference in the arms.
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