A compressed sensing approach to 3D spectrometry

We present the design of a spectrometer that can retrieve a 3D spectral profile with a single measurement. The design of the spectrometer is built around a compressed sensing algorithm - which allows the spectrometer to retrieve 3D information from an otherwise 2D sensor. Numerical trials has demonstrated confidence in the accuracy of retrieved 3D spectral profiles, even in the presence of Gaussian noise. Experimental trials have proved functional. The spectrometer may be implemented to accurately analyse ultrashort pulses such as femtosecond chirped pulses in diagnosing plasmas.