Predicting the propagation loss through a tree canopy at millimeter frequencies — Forward scattering approximation — 3-D vector radiative transport theory

The effect of agglomeration on the optical diagnostics and radiative properties of simulated soot agglomerates is investigated, using results from the Jones solution. It is found that agglomeration has a very strong effect on scattering, but only a weak effect on extinction (≅ absorption). An accurate relation has been developed, based on near-forward scattering coefficients, for inferring the number of primary particles in soot agglomerates. General models for both total and differential scattering coefficients have also been established. These results are in general agreement with those predicted for fractal aggregates having a large number of particles. Because of the effect of agglomeration, scattering may not be negligible in treating radiative transport from soot agglomerates.

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Light Propagation in Tissue—Radiative Transport Theory

Series in Medical Physics and Biomedical Engineering - Diagnostic Endoscopy ◽

10.1201/b16289-5 ◽

2013 ◽

pp. 27-38

Author(s):

Haishan Zeng

Keyword(s):

Light Propagation ◽

Transport Theory ◽

Radiative Transport

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Forward-Scattering Approximation for Disordered Systems

Physical Review B ◽

10.1103/physrevb.7.1303 ◽

1973 ◽

Vol 7 (4) ◽

pp. 1303-1311 ◽

Cited By ~ 19

Author(s):

Edward A. Stern

Keyword(s):

Disordered Systems ◽

Forward Scattering ◽

Scattering Approximation

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Phonon Transport in Anisotropic Scattering Particulate Media

Journal of Heat Transfer ◽

10.1115/1.1622718 ◽

2003 ◽

Vol 125 (6) ◽

pp. 1156-1162 ◽

Cited By ~ 16

Author(s):

Ravi Prasher

Keyword(s):

Cross Section ◽

Acoustic Waves ◽

Transport Theory ◽

Mode Conversion ◽

Anisotropic Scattering ◽

Phonon Transport ◽

Isotropic Scattering ◽

Radiative Transport ◽

Particulate Media ◽

Transport Cross Section

Equation of phonon radiative transport (EPRT) is rewritten to include anisotropic scattering by a particulate media by including an acoustic phase function and an inscattering term which makes EPRT exactly same as equation of radiative transport (ERT). This formulation of EPRT is called generalized EPRT (GEPRT). It is shown that GEPRT reduces to EPRT for isotropic scattering and is totally consistent with phonon transport theory, showing that transport cross section is different from the scattering cross section. GEPRT leads to same formulation for transport cross section as given by phonon transport theory. However GEPRT shows that transport cross section formulations as described by phonon transport theory are only valid for acoustically thick medium. Transport cross section is different for the acoustically thin medium leading to the conclusion that mean free path (m.f.p) is size dependant. Finally calculations are performed for two types of scatterers for acoustic waves without mode conversion: (1) acoustically hard Rayleigh sphere; and (2) large sphere in the geometrical scattering regime. Results show that the scattering from these particles is highly anisotropic. It is also shown that for geometrical scattering case isotropic scattering leads to the conclusion of total internal reflection at the particle/medium interface.

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