In high power solid laser facility, the hot images are an important physical mechanism in damaging the optical components. The hot image property induced by defects in nonlinear propagation is analyzed theoretically. The phase defect key spectrum method of hot image extracted by band-pass imaging technology is proposed. The typical 16 phase defects are constructed to analyze the quantitative relationship between hot image property and band-pass imaging property with three optical types, and the linear relationship between hot image intensity and relative brightness of band-pass image are proposed. It shows that the correlation coefficient is connected with the optical type and band-pass filter parameters. The results have great significance for hot images and lay a technique foundation for phase defects detection in high power laser systems.