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Fourier transform spectroscopy (FTS) has been widely used in a variety offields in research, industry, and medicine due to its high signal-to-noiseratio, simultaneous acquisition of signals in a broad spectrum, and versatilityfor different radiation sources. Further improvement of the spectroscopicperformance will widen its scope of applications. Here, we demonstrate improvedspectral resolution by overcoming the time window limitation using discreteFourier transform spectroscopy (dFTS) with precisely periodic pulsed terahertz(THz) radiation. Since infinitesimal resolution can be achieved at periodicallydiscrete frequencies when the time window size is exactly matched to therepetition period T, a combination of THz-dFTS with a spectral interleavingtechnique achieves a spectral resolution only limited by the spectralinterleaving interval. Linewidths narrower than 1/(50T) are fully resolvedallowing the attribution of rotational-transition absorption lines oflow-pressure molecular gases within a 1.25 MHz band. The proposed methodrepresents a powerful tool to improve spectrometer performance and acceleratethe practical use of various types of FTS.

Super-resolution discrete-Fourier-transform spectroscopy using precisely periodic radiation beyond time window size limitation