Complex temperature field reconstruction algorithm compensating for the refraction effect of acoustic wave paths

When reconstructing furnace flame temperature field using acoustic pyrometry, the refraction effect of acoustic wave transmitting paths is the main cause of error in temperature field reconstruction. Based on the least-square algorithm and Fermat's theory, this paper researches the influence of the refraction effect of acoustic wave transmitting paths on reconstruction of a flame temperature field. A reconstruction algorithm is proposed that can compensate for the refraction effect of acoustic wave transmitting paths simultaneously. Experiments evaluate reconstructions of different flame temperature fields. They indicate that this algorithm can not only compensate for the refraction of acoustic wave paths, but also realize the reconstruction of a flame temperature field simultaneously. It has a comparatively high reconstruction accuracy.