Piecewise polynomial dielectric function model and its application for the retrieval of optical functions

Area of Science:

• Materials Science
• Optics
• Computational Physics

Background:

• Accurate modeling of dielectric functions is crucial for understanding material optical properties.
• Existing models may require detailed knowledge of microscopic absorption mechanisms.
• Developing versatile and mathematically robust models is an ongoing challenge.

Purpose of the Study:

• Introduce a new dielectric function model based on piecewise polynomials.
• Demonstrate its ability to reproduce diverse experimental spectra.
• Enable retrieval of linear optical functions without prior knowledge of absorption mechanisms.

Main Methods:

• Developed a new dielectric function model using piecewise polynomial expressions.
• Integrated the model with spline and shape-preserving interpolation algorithms.
• Validated the model using synthetic data and experimental spectra analysis.

Main Results:

• The piecewise polynomial dielectric function model effectively reproduces various experimental spectra.
• The model allows for the straightforward retrieval of linear optical functions.
• The purely mathematical framework ensures broad applicability.

Conclusions:

• The proposed piecewise polynomial dielectric function model offers a versatile and robust method for optical analysis.
• It simplifies the retrieval of optical functions, reducing reliance on complex physical models.
• This approach has significant potential for materials characterization and optical property determination.