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The scattering inside the media can be determined by a phase function using importance sampling. Therefore, the Henyey–Greenstein phase function [6] — a non-isotropic phase function for simulating the scattering of materials like oceans, clouds or skin [4] — can be applied.
In order to determine the new direction of the photon packet (and hence the photon direction cosines), we need to know the scattering phase function. Often the Henyey-Greenstein phase function is used. Then the scattering angle, θ, is determined using the following formula.
His work on the diffusion of the light in galaxies resulted in what is referred to as the Henyey-Greenstein phase function, [2] [3] first proposed in a paper he authored. [4] This scattering model has found use in other scientific disciplines. [5] The crater Henyey on the Moon is named after him, as is the asteroid called 1365 Henyey. [6]
The RTE is a differential equation describing radiance (, ^,).It can be derived via conservation of energy.Briefly, the RTE states that a beam of light loses energy through divergence and extinction (including both absorption and scattering away from the beam) and gains energy from light sources in the medium and scattering directed towards the beam.
The Henyey track is a path taken by pre-main-sequence stars with masses greater than 0.5 solar masses in the Hertzsprung–Russell diagram after the end of the Hayashi track. The astronomer Louis G. Henyey and his colleagues in the 1950s showed that the pre-main-sequence star can remain in radiative equilibrium throughout some period of its ...
The radiative transfer equation is a monochromatic equation to calculate radiance in a single layer of the Earth's atmosphere. To calculate the radiance for a spectral region with a finite width (e.g., to estimate the Earth's energy budget or simulate an instrument response), one has to integrate this over a band of frequencies (or wavelengths).
Mie solution (infinite series) to scattering, absorption and phase function of electromagnetic waves by a homogeneous cylinder. 1992 SCAOBLIQ2.FOR H. A. Yousif and E. Boutros [3] Fortran Cylinder, oblique incidence. 2002 Mackowski D. Mackowski Fortran Cylinder, oblique incidence. 2008 jMie2D: Jeffrey M. McMahon C++ Mie solution. Open-source ...
Isotropic scattering is simulated by picking random directions evenly along a sphere. Anisotropic scattering is simulated usually by using the Henyey-Greenstein phase function. For example, human skin has anisotropic scattering. Optical depth / absorption is applied based on the length of the paths, using the Beer-Lambert law.
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