The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Derivation of the scalar radiative transfer equation from energy conservation of Maxwell’s equations in the far field
Abstract
In this paper the expression for the radiative transfer equation (RTE) commonly used when describing light propagation in biological tissues is derived directly from the equation of energy conservation of Maxwell's equations (Poynting's theorem) by making use of a volume-averaged expression for the time-averaged flow of energy. The derivation is presented step by step with Maxwell's equations as the starting point, analyzing all approximations taken in order to arrive at the expression of the scalar RTE employed in biomedical applications, which neglects particle nonsphericity and orientation, depolarization, and coherence effects.
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“The RTE can be derived from the Maxwell's equations [199].”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [199]
Citations
Cites
Discrete-Dipole Approximation For Scattering Calculations
Draine, B. T., & Flatau, P. J. (1994) · Journal of the Optical Society of America A · doi:10.1364/josaa.11.001491 · Cited by 3,695
Boundary conditions for the diffusion equation in radiative transfer
Haskell, R. C., Svaasand, L. O., Tsay, T., Feng, T.-C., Tromberg, B. J., & McAdams, M. S. (1994) · Journal of the Optical Society of America A · doi:10.1364/josaa.11.002727 · Cited by 1,143
Radiation Through a Foggy Atmosphere
Schuster, A. (1905) · The Astrophysical Journal · doi:10.1086/141186 · Cited by 885
Tutorial on diffuse light transport
Jacques, S. L., & Pogue, B. W. (2008) · Journal of Biomedical Optics · doi:10.1117/1.2967535 · Cited by 354
Boundary conditions for diffusion of light
Aronson, R. (1995) · Journal of the Optical Society of America A · doi:10.1364/josaa.12.002532 · Cited by 237
Mishchenko, M. I. (2002) · Applied Optics · doi:10.1364/ao.41.007114 · Cited by 156
Boundary conditions for light propagation in diffusive media with nonscattering regions
Ripoll, J., Nieto‐Vesperinas, M., Arridge, S., et al. (2000) · Journal of the Optical Society of America A · doi:10.1364/josaa.17.001671 · Cited by 67
Self-citationPoynting–Stokes tensor and radiative transfer in discrete random media: the microphysical paradigm
Mishchenko, M. I. (2010) · Optics Express · doi:10.1364/oe.18.019770 · Cited by 36
Radiative transport theory for optical molecular imaging
Kim, A. D., & Moscoso, M. (2005) · Inverse Problems · doi:10.1088/0266-5611/22/1/002 · Cited by 34
Comparison of light scattering models for diffuse optical tomography
González-Rodríguez, P., & Kim, A. D. (2009) · Optics Express · doi:10.1364/oe.17.008756 · Cited by 30
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Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review
Luzi, G., & McHardy, C. (2022) · Energies · doi:10.3390/en15113966 · Cited by 44
Metadata
- Authors
- Ripoll, J.
- Affiliations
- FORTH Institute of Electronic Structure and Laser (GR)
- Corresponding author
- Ripoll, Jorge
- ORCID
- Ripoll, Jorge
- Venue
- Journal of the Optical Society of America A
- Publisher
- Optica Publishing Group
- Published
- 2011-07-29
- Volume
- 28
- Issue
- 8
- Pages
- 1765
- ISSN
- 1084-7529 (ISSN-L)
- 1520-8532
- OpenAlex
- W2169008157
- Cited by
- 16
- References
- 11
- Citations by year
- 2026: 2 · 2023: 2 · 2022: 3 · 2021: 1 · 2019: 4 · 2016: 1 · 2014: 2 · 2013: 1
- FWCI
- 0.73
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of the Optical Society of America A (publishedVersion)
- PubMed (publishedVersion)
- Funders
- European Union (EU) Seventh Framework Programme (FP7) (FMT-XCT)
- Topics
- Health Sciences › Medicine › Radiology, Nuclear Medicine and Imaging › Optical Imaging and Spectroscopy Techniques
- Physical Sciences › Engineering › Computational Mechanics › Radiative Heat Transfer Studies
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Random lasers and scattering media
- Keywords
- radiative transfer equation, Poynting theorem, energy conservation (physics), Maxwell's equations, far-field approximation, light propagation in tissue, volume averaging
- MeSH terms
- Absorption, Biophysics, Diffusion, Electricity, Energy Transfer, Humans, Monte Carlo Method, Surface Properties, Models, Statistical, Optics and Photonics, Electromagnetic Phenomena
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