Accurate reconstruction of the optical parameter distribution in participating medium based on the frequency-domain radiative transfer equation

doi:10.1088/1674-1056/25/12/120201

Abstract

Reconstructing the distribution of optical parameters in the participating medium based on the frequency-domain radiative transfer equation (FD-RTE) to probe the internal structure of the medium is investigated in the present work. The forward model of FD-RTE is solved via the finite volume method (FVM). The regularization term formatted by the generalized Gaussian Markov random field model is used in the objective function to overcome the ill-posed nature of the inverse problem. The multi-start conjugate gradient (MCG) method is employed to search the minimum of the objective function and increase the efficiency of convergence. A modified adjoint differentiation technique using the collimated radiative intensity is developed to calculate the gradient of the objective function with respect to the optical parameters. All simulation results show that the proposed reconstruction algorithm based on FD-RTE can obtain the accurate distributions of absorption and scattering coefficients. The reconstructed images of the scattering coefficient have less errors than those of the absorption coefficient, which indicates the former are more suitable to probing the inner structure.

Keywords: inverse problem adjoint differentiation multi-start conjugate gradient method frequency-domain radiative transfer equation

Received: 13 May 2016
Revised: 09 August 2016
Accepted manuscript online:

PACS:	02.30.Zz	(Inverse problems)
	45.10.Db	(Variational and optimization methods)
	78.20.Ci	(Optical constants (including refractive index, complex dielectric constant, absorption, reflection and transmission coefficients, emissivity))
	78.47.jb	(Transient absorption)

Fund:

Project supported by the National Natural Science Foundation of China (Grant No. 51476043), the Major National Scientific Instruments and Equipment Development Special Foundation of China (Grant No. 51327803), and the Foundation for Innovative Research Groups of the National Natural Science Foundation of China (Grant No. 51121004).

Corresponding Authors: Hong Qi
E-mail: qihong@hit.edu.cn

Cite this article:

Yao-Bin Qiao(乔要宾), Hong Qi(齐宏), Fang-Zhou Zhao(赵方舟), Li-Ming Ruan(阮立明) Accurate reconstruction of the optical parameter distribution in participating medium based on the frequency-domain radiative transfer equation 2016 Chin. Phys. B 25 120201

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Accurate reconstruction of the optical parameter distribution in participating medium based on the frequency-domain radiative transfer equation

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