Simulation on measuring of nonuniform temperature distribution based on line-of-sight TDLAS by using Tikhonov regularization method

In this paper, Tikhonov regularization method, with its regularization parameter determined by L-curve criterion, is applied to measure nonuniform temperature distribution based on line-of-sight tunable diode laser absorption spectroscopy (TDLAS) through simulation. By using temperature binning method, number of bins should be increased in order to resolve the temperature distribution more definitely. However, the sensitivity matrix becomes more ill-conditioned. Compared with constrained linear least-square fitting method, Tikhonov regularization method is more robust in dealing with the discrete ill-posed problem. The simulated results validated the feasibility of this approach.