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The Second-Order Born Approximation in Diffuse Optical Tomography
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-04
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
Diffuse optical tomography is used to find the optical parameters of a turbid medium with infrared red light.
The problem is mathematically formulated as a nonlinear problem to find the solution for the diffusion operator mapping the optical coefficients to the photon density distribution on the boundary of the region of interest, which is also represented by the Born expansion with respect to the unperturbed photon densities and perturbed optical coefficients.
We suggest a new method of finding the solution by using the second-order Born approximation of the operator.
The error analysis for the suggested method based on the second-order Born approximation is presented and compared with the conventional linearized method based on the first-order Born approximation.
The suggested method has better convergence order than the linearized method, and this is verified in the numerical implementation.
American Psychological Association (APA)
Kwon, Kiwoon. 2012. The Second-Order Born Approximation in Diffuse Optical Tomography. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-993442
Modern Language Association (MLA)
Kwon, Kiwoon. The Second-Order Born Approximation in Diffuse Optical Tomography. Journal of Applied Mathematics No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-993442
American Medical Association (AMA)
Kwon, Kiwoon. The Second-Order Born Approximation in Diffuse Optical Tomography. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-993442
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993442