Two-dimensional water temperature reconstruction by filtered back-projection method

The reconstruction of water temperature in combustion is realized by the tunable diode laser absorption spectroscopy technique. The model for H2O temperature distribution is assumed as a Gaussian function, ranging from 300 K to 1300 K. Radon transform is used to simulate the experimental results. The reconstruction of temperature distribution is achieved by reconstruction of two temperature-dependent line strengths based on the filtered back-projection method. The temperature reconstruction result agrees well with the original model. Moreover, the influences of the number of projections and random errors in projections on reconstruction are also studied. The simulation results indicate that the decrease in projection number or the increase in noise increases the mean square error of the reconstructed temperature, deteriorating the reconstructed image. The temperature reconstruction can not reveal the original temperature distribution when the projection number reduces to four.