Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Perturbation theory for the diffusion equation by use of the moments of the generalized temporal point-spread function. II. Continuous-wave results

Not Accessible

Your library or personal account may give you access

Abstract

We investigate the performance of the method proposed in Part I of this paper in several situations of interest in diffuse optical imaging of biological tissues. Monte Carlo simulations were extensively used to validate the approximate scaling relationship between higher-order and first-order self moments of the generalized temporal point-spread function in semi-infinite and slab geometry. More specifically we found that in a wide range of cases the scaling parameters c1, c2, c3 [see Eq. (36) of Part I] lie in the intervals (1.48, 1.58), (3.1, 3.7), and (8.5, 11.5), respectively. The scaling relationships between higher-order and first-order self moments are useful for the calculation of the perturbation of a single defect in a straightforward way. Although these relationships are more accurate for inclusions of linear size less than 6mm, their performance is also studied for larger inclusions. A good agreement, to within 10%, was found between the perturbations of single and multiple defects calculated with the proposed method and those obtained by Monte Carlo simulations. We also provide formulas for the calculation of the moments up to the fourth order for which it is clear how lower-order moments can be used for the calculation of higher-order moments.

© 2006 Optical Society of America

Full Article  |  PDF Article
More Like This
Perturbation theory for the diffusion equation by use of the moments of the generalized temporal point-spread function. I. Theory

Angelo Sassaroli, Fabrizio Martelli, and Sergio Fantini
J. Opt. Soc. Am. A 23(9) 2105-2118 (2006)

Higher-order perturbation theory for the diffusion equation in heterogeneous media: application to layered and slab geometries

Angelo Sassaroli, Fabrizio Martelli, and Sergio Fantini
Appl. Opt. 48(10) D62-D73 (2009)

Perturbation approach to the time-resolved transmittance for a spatially varying scattering inclusion in a diffusive slab

Rosario Esposito, Sergio De Nicola, Maria Lepore, and Pietro Luigi Indovina
J. Opt. Soc. Am. A 23(8) 1937-1945 (2006)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (12)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (4)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (19)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


    Select Topics Cancel
    © Copyright 2024 | Optica Publishing Group. All Rights Reserved