Yk. Lu et al., Depth profiling of thermal relaxation time and thermal conductivity related to hyperbolic heating propagation, APPL PHYS A, 73(2), 2001, pp. 193-198
By employing a hybrid Newton-like iterative way and a regularization method
, the numerical simulations of the depth profile reconstruction of the ther
mal relaxation time, which is directly related to the thermal wave propagat
ion velocity, for inhomogeneous solid samples have been performed from surf
ace photo-thermal signals. The results demonstrate that the algorithm is ef
fective and stable even under the condition of noise disturbance. The theor
y and numerical calculation of synchronous inversion about relaxation time
and thermal conductivity also be presented.