Numerical methods for the design of gradient-index optical coatings

Area of Science:

• Optics and Photonics
• Materials Science
• Computational Physics

Background:

• Designing optical coatings with specific refractive index profiles is crucial for advanced optical systems.
• Traditional methods often struggle with complex gradient-index designs.
• The need for efficient and practical design algorithms is paramount.

Purpose of the Study:

• To formulate the design of gradient-index optical coatings as a solvable system of operator equations.
• To develop and implement iterative numerical procedures for determining coating refractive index profiles and thicknesses.
• To create methods for transforming gradient designs into manufacturable multilayer stacks.

Main Methods:

• Formulation of the design problem as a system of operator equations.
• Application of iterative numerical procedures from inverse problem theory (e.g., Landweber, Newton, Gauss-Newton, Tikhonov minimization).
• Development of transformation procedures for gradient to quasi-gradient (multilayer) coating designs.

Main Results:

• Successful implementation of various numerical methods for gradient-index coating design.
• Demonstration of procedures to convert continuous gradient designs into discrete multilayer stacks.
• Algorithms are compatible with physically available coating materials and modern fabrication technologies.

Conclusions:

• The proposed inverse problem approach provides a robust framework for designing gradient-index optical coatings.
• The developed methods facilitate the translation of theoretical designs into practical, manufacturable optical components.
• This work advances the capabilities for creating sophisticated optical coatings for diverse applications.