A deconvolution method for optical laser pulse and profile reconstruction is investigated. The thermo-electric detector under consideration has different operation regimes depending on the temporal characteristics of the optical input signal. In mixed regimes, no straightforward reconstruction algorithm exists. Therefore an advanced distributed model was developed using the finite element simulator {"}Comsol Multiphysics{"}. The model was evaluated with an experimental dataset obtained from high power CO2 laser measurements. Based on this model a deconvolution algorithm was developed and tested on simulated and experimental datasets. This deconvolution technique used for profile reconstruction is proved by independent experiments to hold.