Novel concepts of on-chip Fourier transform spectrometers is proposed. The principal element in the spectrometer is semiconductor waveguide directional couplers. The optical path difference can be tuned by varying the coupling length or influencing the propagation mode of the directional coupler. Solutions of both these two methods are proposed, and the theories are verified by spectra recovering. They function well around 1.5 μm wavelength. Further enhancement can be achieved by cascading more stages of directional couplers or extending the coupling length. This design meets the requirement of small size, weight and power and may be useful in future on-chip spectroscopic sensors.
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