A one-dimensional inverse radiative transfer problem with time-varying boundary conditions

Authors: Acevedo N.I.A.; Roberty N.C.; Neto A.J.S.

Source: Inverse Problems in Engineering, Volume 12, Number 2, Number 2/April 2004 , pp. 123-140(18)

Publisher: Taylor and Francis Ltd

Key:

- Free Content

- New Content

- Subscribed Content

- Free Trial Content

Abstract:

In this work are presented the formulation and solution of two inverse radiative transfer problems in one-dimensional homogeneous participating media with time-dependent boundary conditions. In the first one an energy balance for the incoming and exit radiation allows the direct determination of the absorption coefficient. In the second inverse problem we solve the simultaneous estimation of the total extinction and scattering coefficients using the source-detector method. We first consider a more general formulation of the direct radiative transfer problem, and then for the formulation of the inverse problems we use the particular cases of "cold medium" (no internal sources), transparent boundaries (no effects associated with differences on medium and environment refractive indices), and homogeneous media (constant radiative transfer properties). Test case results are presented.

Keywords: Inverse problems; Radiative transfer; Source-detector methodology; Boltzmann equation

Document Type: Research article

DOI: 10.1080/10682760410001633246

The full text electronic article is available for purchase. You will be able to download the full text electronic article after payment.

$37.29 plus tax