This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
A. Yodh and B. Chance. Spectroscopy and imaging with diffusing light. Phys. Today, 48:38–40, 1995.
J.C. Hebden, S.R. Arridge, and D.T. Delpy. Optical imaging in medicine: I. Experimental techniques. Phys. Med. Biol., 42:825–840, 1997.
S.R. Arridge and J.C. Hebden. Optical imaging in medicine: II. Modelling and reconstruction. Phys. Med. Biol., 42:841–853, 1997.
S.R. Arridge. Optical tomography in medical imaging. Inverse Problems, 15(2):R41–R93, 1999.
D.A. Boas, D.H. Brooks, E.L. Miller, C.A. DiMarzio, M. Kilmer, R.J. Gaudette, and Q. Zhang. Imaging the body with diffuse optical tomography. IEEE Sig. Proc. Magazine, 18(6):57–75, 2001.
M. Firbank, S.R. Arridge, M. Schweiger, and D.T. Delpy. An investigation of light transport through scattering bodies with non-scattering regions. Phys. Med. Biol., 41:767–783, 1996.
O. Dorn. A transport-backtransport method for optical tomography. Inverse Problems, 14(5):1107–1130, 1998.
A.H. Hielscher, R.E. Alcouffe, and R.L. Barbour. Comparison of finite-difference transport and diffusion calculations for photon migration in homogeneous and heterogeneous tissue. Phys. Med. Biol., 43:1285–1302, 1998.
S.R. Arridge, H. Dehghani, M. Schweiger, and E. Okada. The finite element model for the propagation of light in scattering media: A direct method for domains with non-scattering regions. Med. Phys., 27(1):252–264, 2000.
B. Davison. Neutron Transport Theory. Oxford University Press, 1957.
A.M. Weinberg and E.P. Wigner. The Physical Theory of Neutron Chain Reactors. University of Chicago Press, 1958.
M.C. Case and P.F. Zweifel. Linear Transport Theory. Addison-Wesley, New York, 1967.
J.J. Duderstadt and W.R. Martin. Transport Theory. John Wiley & and Sons, 1979.
R.T. Ackroyd. Finite Element Methods for Particle Transport: Applications to Reactor and Radiation Physics. Research Studies Press Ltd., Taunton, 1997.
S. Chandrasekhar. Radiative Transfer. Oxford University Press, London, 1950.
A. Ishimaru. Wave Propagation and Scattering in Random Media, volume 1. Academic, New York, 1978.
C.R.E. de Oliveira. An arbitrary geometry finite element method for multigroup neutron transport with anisotropic scattering. Prog. Nucl. Energy, 18:227–236, 1986.
E.D. Aydin, C.R.E. de Oliveira, and A.J.H. Goddard. A comparison between transport and diffusion calculations using a finite element-spherical harmonics radiation transport method. Med. Phys., 2(9):2013–2023, 2002.
G.S. Abdoulaev and A.H. Hielscher. Three-dimensional optical tomography with the equation of radiative transfer. Journal of Electronic Imaging, 12(4):594–601, 2003.
J. Heino, S.R. Arridge, J. Sikora, and E. Somersalo. Anisotropic effects in highly scattering media. Physical Review E, 68:Article number 31908, 2003.
V.I. Lebedev and A.L. Skorokhodov. Quadrature formulas of orders 41,47 and 53 for the sphere. Russian Acad. Sci. Dokl. Math., 45(3), 2002.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Wright, S., Arridge, S., Schweiger, M. (2009). A Finite Element Method for the Even-Parity Radiative Transfer Equation Using the P N Approximation. In: Kanschat, G., Meinköhn, E., Rannacher, R., Wehrse, R. (eds) Numerical Methods in Multidimensional Radiative Transfer. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85369-5_4
Download citation
DOI: https://doi.org/10.1007/978-3-540-85369-5_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-85368-8
Online ISBN: 978-3-540-85369-5
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)