Mathematical modeling at development of the optical measuring devices

Abstract

Thermal meters are often used for measurement of optical radiation parameters. The investigation of the processes which act on the optical radiation of the receiver with the help of mathematical modeling allows one to increase the measurement precision, and to improve the space and time resolution and other parameters of the device. It is necessary to find the solution of the inverse heat problem (IHP) for this purpose, that is to reconstruct parameters of the heating the receiver of the radiation on the measured temperature. It is expedient to apply the mathematical modeling for debugging of the IHP solution algorithms. The radiation parameters are reconstructed. The algorithm parameters are optimized. Inverse heat problems can be divided into two groups. They are reconstructed data by the radiation intensity distribution in the space at fixed moment of the time in the first group and time dependence of the intensity on the fixed point in the second group. The methods of the solution of these problems are different.