Single-pixel echelle spectrometer based on compressive sensing

In this paper, a single pixel echelle spectrometer system based on compressed sensing theory is proposed. The Digital Micromirror Devices (DMD) is used as the Coding board, and the photomultiplier of high sensitivity point detector is used as the signal receiver. According to its structural characteristics, the optical system of the whole system is designed. The energy concentration of the spot in a single micro mirror can reach 70%. At the same time, the spectral information reconstruction algorithm is studied. Through the nonlinear recovery algorithm, when the compression factor is 20%, the original two-dimensional spectrum is reconstructed, and the two-dimensional spectrum is transformed into the required one-dimensional spectrum through the spectrum reduction algorithm.