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

Area of Science:

• Optics and Photonics
• Materials Science
• Computational Physics

Background:

• Light radiative transfer in planar structures is crucial for optical applications.
• Existing models may not efficiently handle multilayered components or complex scattering.
• Accurate prediction of optical properties like reflectance and transmittance is essential.

Purpose of the Study:

• To develop a novel four-flux model using matrix formalism for multilayered structures.
• To extend the model for calculating the bidirectional scattering distribution function (BSDF).
• To apply the model to opaque Lambertian backgrounds with different interface types.

Main Methods:

• The four-flux model represents light as two collimated and two diffuse beams.
• Matrix formalism is employed to combine optical properties of individual layers.
• The model incorporates directional diffuse fluxes for BSDF generation.

Main Results:

• The model successfully determines reflectance and transmittance factors for component stacks.
• Analytical expressions for the BSDF are derived for opaque Lambertian backgrounds.
• The model accounts for both flat and rough interfaces.

Conclusions:

• The developed four-flux model provides an efficient method for analyzing light transfer in multilayered systems.
• It offers a versatile tool for predicting optical performance, including scattering.
• The findings are applicable to materials with opaque Lambertian backgrounds and varying surface topographies.