Analysis References

Perturbation Analysis

[1] S. C. Feng, F. A. Zeng, B. C. Chance. Photon migration in the presence of a single defect - A perturbation analysis. Applied Optics, 34(19):3426-3837, 1995.

[2] S. A. Arridge and J. C. Hebden. Optical imaging in medicine - 2. Modeling and reconstruction. Physics in Medicine and Biology, 42(5):841-853, 1997.

[3] C. K. Hayakawa, J. Spanier, F. Bevilacqua, A. K. Dunn, J. S. You, B. J. Tromberg, and V. Venugopalan. Perturbation Monte Carlo methods to solve photon migration problems in heterogeneous tissues. Optics Letters, 26(17):1335-1337, 2001.

Sensitivity Analysis

[4] S. A. Arridge and J. C. Hebden. Optical imaging in medicine - 2. Modeling and reconstruction. Physics in Medicine and Biology, 42(5):841-853, 1997.

[5] D. Y. Churmakov, I. V. Meglinski, and D. A. Greenhalgh. Influence of refractive index matching on the photon diffuse reflectance. Physics in Medicine and Biology, 47(23):4271-4285, 2002.

Forward-Adjoint Methods

[6] M. L. Williams. Generalized contribution response theory. Nuclear Science and Engineering, 108(4):355-383, 1991.

[7] S. N. Cramer. Forward-adjoint Monte Carlo coupling with no statistical error propagation. Nuclear Science and Engineering, 124(3):398-416, 1996.

Interrogation

[8] J. C. Schotland, J. C. Haselgrove, J. S. Leigh. Photon hitting density. Applied Optics, 32(4):448-453, 1993.

[9] Hayakawa, C. K., J. Spanier, and V. Venugopalan. Coupled forward-adjoint Monte Carlo simulations of radiative transport for the study of optical probe design in heterogeneous tissues. SIAM Journal of Applied Mathematics. 68(1):253-270, 2007.