Correlated imaging was a new type of imaging technology, with great application value and promising prospect, which has recently become a hotspot and one of the frontiers of optical imaging researches. Polarization detecting method can improve system's ability of object detection and recognition, and categorize detected objects based on its materials. By combining correlated imaging with polarization detection, a correlated imaging system was built based on forward modulated polarization, which utilized fixed probe side polarization configuration and used Hadamard mode speckles modulated by time-shared polarization method to illuminate scenes. The system was used to carry out the polarization detection imaging experiments for the scenes with multi-material objects. The intensity and polarized images of scenes were retrieved using the correlation between the detected intensities and illumination speckles. Using evolutionary compressed sampling restoration techniques, the information of scenes was reconstructed under different sampling ratios. The clear images of the intensity and polarization are obtained under the sampling ratio of 12.5%.