Multilayer four-flux matrix model accounting for directional-diffuse light transfers

Applied Optics
L SimonotS Mazauric

Abstract

The four-flux model is a method to solve light radiative-transfer problems in planar, possibly multilayer structures. The light fluxes are modeled as two collimated and two diffuse beams propagating forward and backward perpendicularly to the layer stack. In the present contribution, we develop a four-flux model relying on a matrix formalism to determine the reflectance and transmittance factors of stacks of components by knowing those of each individual component. This model is also extended to generate the bidirectional scattering distribution function of the stack by considering an incoming collimated flux in any direction and by taking into account the directionality of the diffuse fluxes exiting from the material at the border components of the stack. The model is applied to opaque Lambertian backgrounds with flat or rough interfaces for which analytical expressions of the BSDF are obtained.

References

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Citations

Feb 10, 2018·Biomedizinische Technik. Biomedical Engineering·Christoph Hornberger, Heidrun Wabnitz
Nov 2, 2017·Applied Optics·Marc A GaliGeoffrey B Smith
Feb 23, 2018·Applied Optics·Jyoti Prasad Deka, Amarendra K Sarma
Oct 20, 2017·Applied Optics·Brian SlovickSrini Krishnamurthy
Mar 16, 2019·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·E de la HozF González
Dec 25, 2019·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Lionel SimonotDaniel Meneveaux
Mar 18, 2021·Optics Express·Danwu Chen, Philipp Urban

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