Light scattering by periodic rough surfaces: equivalent jump conditions

Area of Science:

• Optics
• Materials Science
• Computational Physics

Background:

• Periodic rough interfaces between air and dielectrics scatter light.
• Previous models often approximate roughness with equivalent media layers.
• Accurate modeling is crucial for understanding optical phenomena and material properties.

Purpose of the Study:

• To develop a novel interface model for predicting coherent light scattering from periodic rough surfaces.
• To provide effective jump conditions across the roughness region, avoiding equivalent medium approximations.
• To validate the model against direct numerical simulations and experimental data.

Main Methods:

• Utilizing two-scale homogenization for interface modeling.
• Developing effective jump conditions across the roughness layer.
• Comparing model predictions with direct numerical calculations.
• Validating against experimental measurements of an air/silicium interface.

Main Results:

• The proposed model accurately predicts coherent light scattering.
• The model successfully reproduces the shift in the Brewster phenomenon near the Brewster angle.
• No adjustable parameters were required for accurate predictions.
• The model's validity was confirmed through comparisons with numerics and experiments.

Conclusions:

• The developed interface model offers a physically accurate approach to light scattering on rough surfaces.
• The model's ability to predict Brewster phenomenon shifts without adjustable parameters is significant.
• This work has practical implications for accurate material property retrieval methods in optics.