A Pixilated Spectrometer Based on Single Liquid Crystal and Sparse Algorithm

A method of achieving integrated microspectrometer with small size, high-energy efficiency, and high spectrum resolution is proposed. This spectrometer utilizes the single-pixilated liquid crystal (LC) and a matched sparse representation algorithm. The properties of compact size and high-energy efficiency are benefit to the configuration of single-pixilated LC which forms a filter array in the time domain for the polarization interference turned by driven voltage. The high spectrum resolution is obtained with the application of sparse representation of the nonnegative L1 minimization algorithm. By theoretical derivation, the physical model of the microspectrometer is set up, and the experimental results indicate the effectiveness of spectrum reconstruction with a spectrum resolution of about 0.2 nm.