An explicit formulation for the inverse transport problem using only external detectors - Part II: Application to one-dimensional homogeneous and heterogeneous participating media

作者：Alvarez Acevedo Nancy I; Roberty Nilson Costa; Silva Neto Antonio J

来源：Computational and Applied Mathematics, 2010, 29(3): 359-374.

DOI：10.1590/S1807-03022010000300003

• inverse problems
• explicit formulation
• radiative properties
• spectral methods
• semi-group theory

The steady state inverse radiative transfer problem in one-dimensional participating media is studied as an example of application of the new methodology presented in a accompanying paper by the authors [2]. Spectral methods are used for the appropriate analysis of the direct transport problem. For the inverse problem, we present a matrix that involves only values of the flux intensities at the boundary of the medium. Its columns are built with a set of linearly independent solutions for the system, which is formed when angular half-range prescribed boundary values and the complementary measured half-range boundary values are coupled. The final inverse albedo problem is treated as a full range two point boundary value problem. Test cases results are presented.

• 出版日期2010