Solving the inverse problem of radiation transfer by soot particles of complex shapes

A method for solving the inverse problem of radiation transfer by soot particles is developed on the basis of the Mie theory. The corresponding system of equations is solved by using a probabilistic approach to estimating the unknown functions, with allowance made for the probabilistic nature of errors in optical measurements and in the functional expressions relating the parameters of soot particles to their spectral radiation characteristics. It is shown that the use of the effective dimension in calculating radiation heat transfer makes it possible to significantly improve the accuracy of radiation level predictions.