  We present a novel design of 3D spectrometer that can retrieve 3D spectral
profile in a single measurement. The 3D spectrometer design is built upon the
concept of compressed sensing to make it possible to retrieve 3D information
from 2D data from a screen/camera. In contrast to common spectrometers, the 3D
spectrometer uses a wide slit instead of a narrow slit and retrieve the 3D
datacube that consists of 2D spatial and 1D spectral information. Numerical
tests were performed to simulate the retrieval of spectral profiles. The
results show that the retrieved profiles match well the original profiles. It
is also shown that the retrieved signal from the 3D spectrometer is robust
enough for a further post-processing analysis.
