Spectral Ghost Imaging for Ultrafast Spectroscopy

We experimentally demonstrate ghost imaging in the frequency domain based on frequency speckle patterns as references. Our method is suitable for measuring the spectrum of ultrafast signals with high repetition rates. We study the reconstruction resolution as a function of the signal periodicity and found the maximal signal periodicity which can be reconstructed. We also study the reconstruction resolution as a function of the speckle size and show that the speckle size determines the quality of the ghost image. Finally, we perform numerical and analytical calculations which agree with our experimental measured results. Our method is simple, broadband, and utilizes a low cost bucket detector for ultrafast spectral measurements.