Figure 4: Performance of the TFMMI spectrometer.

In all the following reconstructions, no assumptions on the nature of the light signal were made a priori. (a) On the basis of the spectroscopy scheme discussed above, we used our TFMMI spectrometer to reconstruct multiple narrow spectra. (b) Spectral correlation function shows a half-width at half-maximum of δλ ≈ 0.06 nm. (c) We verified the resolution by directly resolving two closely spaced spectral components using our constructed spectrometer. Sharply peaked input wavelengths of 637.96 and 638.00 nm are clearly resolved, while input wavelengths of 637.00 and 637.02 nm are not fully resolved, bounding the resolution to 40 pm at 638 nm. (d) Sharply peaked input wavelengths of 1,550.070 and 1,550.080 nm are clearly resolved while input wavelengths of 1,550.410 and 1,550.415 nm are not fully resolved; thus the resolution of the device is bounded to 10 pm at 1,550 nm. (e) Reconstruction of Gaussian spectra with different variances. (f) Reconstructed spectrum of a continuous signal showing good agreement with that obtained with a commercial spectrometer. (g,h) The spectrometer was also able to reconstruct more broadband signals with spectral components from 640 to 655 nm and 520 to 550 nm.