Analysis of Correlated Coupling of Monte Carlo Forward and Adjoint Histories

Ueki, Taro; Hoogenboom, J. Eduard; Kloosterman, J.L.

doi:10.13182/nse01-a2180

Cited by 9 publications

(17 citation statements)

References 12 publications

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“…However, for P (D|V ), we utilize an adjoint simulation to combat the inherently low SNR in its estimation in the reverse direction. This is done by modifying a generalized reciprocity principle [5,19,25,29] to convert P (D|V ) to a coupled forward-adjoint computation at the surface of the target volume.…”

Section: Methodmentioning

confidence: 99%

“…A series of publications [5,19,20,25,24,30,29] has developed and described the "midway" forwardadjoint coupling method to increase the efficiency of estimating detector responses in radiative transport problems. The idea is to simulate both forward and adjoint Monte Carlo transport and combine the tallies from each at an intermediate surface to estimate the total system response.…”

Section: Coupled Forward-adjoint Monte Carlo Methodsmentioning

confidence: 99%

“…The midway method is made rigorous by appealing to a generalized reciprocity theory for transport equations [19,20,29,30]. The midway method has been shown to be particularly efficient in problems that involve deep penetration and/or complex streaming pathways taken by the radiation as it moves from source(s) to detector(s) [19,20,24,25].…”

Section: Coupled Forward-adjoint Monte Carlo Methodsmentioning

confidence: 99%

“…The function ΦΦ * that occurs in (3.16) has been called a "contributon" response function [5,19,20,24,25,29,30] and used to define a unit of information that characterizes transport from source to detector. The integral of this function appearing on the left-hand side of (3.16) plays a similar role here.…”

Section: Generalized Reciprocitymentioning

confidence: 99%

See 3 more Smart Citations

Coupled Forward-Adjoint Monte Carlo Simulations of Radiative Transport for the Study of Optical Probe Design in Heterogeneous Tissues

Hayakawa¹,

Spanier²,

Venugopalan³

2007

SIAM J. Appl. Math.

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Abstract. We introduce a novel Monte Carlo method for the analysis of optical probe design that couples a forward and an adjoint simulation to produce spatial-angular maps of the detected light field within the tissue under investigation. Our technique utilizes a generalized reciprocity theory for radiative transport and is often more efficient than using either forward or adjoint simulations alone. For a given probe configuration, the technique produces rigorous, transport-based estimates of the joint probability that photons will both visit any specified target subvolume and be detected. This approach enables the entire tissue region to be subdivided into a collection of target subvolumes to provide a phase-space map of joint probabilities. Such maps are generated efficiently using only one forward and one adjoint simulation for a given probe configuration. These maps are used to identify those probe configurations that best interrogate targeted subvolumes. Inverse solutions in a layered tissue model serve to illustrate and reinforce our analysis.

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Section: Methodmentioning

confidence: 99%

Section: Coupled Forward-adjoint Monte Carlo Methodsmentioning

confidence: 99%

Section: Coupled Forward-adjoint Monte Carlo Methodsmentioning

confidence: 99%

Section: Generalized Reciprocitymentioning

confidence: 99%

See 2 more Smart Citations

Coupled Forward-Adjoint Monte Carlo Simulations of Radiative Transport for the Study of Optical Probe Design in Heterogeneous Tissues

Hayakawa¹,

Spanier²,

Venugopalan³

2007

SIAM J. Appl. Math.

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“…In our previous work [7,8], various possibilities of correlated-coupling were investigated based on integrals over a spatial surface between a physical source and a physical detector. Similar investigations can also be made in terms of response decomposition with surface integral at an enclosure containing both the physical source and detector.…”

Section: Introductionmentioning

confidence: 99%

Exact Monte Carlo Perturbation Analysis by Forward-Adjoint Coupling in Radiation Transport Calculations

Ueki

Hoogenboom

2001

Journal of Computational Physics

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Computational Engine for a Virtual Tissue Simulator

Hayakawa

Spanier

Venugopalan

2008

Monte Carlo and Quasi-Monte Carlo Methods 2006

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We have developed a computational platform that simulates light transport in tissue in support of biomedical optics research. Although in its initial stage of development, this platform is being used to answer important questions regarding the detection of tissue changes, and the optimal design and positioning of optical probes to 'interrogate' the tissue best. We provide answers to such questions by applying perturbation and midway surface Monte Carlo techniques. Derivation of these methods makes rigorous use of the radiative transport equation which is essential if the methods are to provide accurate solutions for highly complex media such as biological tissue.

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Analysis of Correlated Coupling of Monte Carlo Forward and Adjoint Histories

Cited by 9 publications

References 12 publications

Coupled Forward-Adjoint Monte Carlo Simulations of Radiative Transport for the Study of Optical Probe Design in Heterogeneous Tissues

Coupled Forward-Adjoint Monte Carlo Simulations of Radiative Transport for the Study of Optical Probe Design in Heterogeneous Tissues

Exact Monte Carlo Perturbation Analysis by Forward-Adjoint Coupling in Radiation Transport Calculations

Computational Engine for a Virtual Tissue Simulator

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