Mathematical Modeling of Nonperiodic Metasurfaces
DescriptionA metasurface is an engineered structure with numerous tiny scatterers placed on the surface of a material. In the last a few years, many interesting optical metasurfaces have been designed and fabricated to control and manipulate light, and they exhibit new functionalities that are not available before and have many advantages over existing optical devices. The tiny scatterers of a metasurface may have different shapes, different sizes and different orientations, and they may be placed on a flat surface without any periodicity. These scatterers and the distances between them are typically smaller than the wavelength of light, but a typical metasurface is many orders of magnitude larger than the wavelength. Due to the huge difference between the size of the overall structure and the wavelength of light, rigorous analysis based on solving the Maxwell's equations is impractical. Some simple modeling techniques are currently being used by engineers to analyze and design metasurfaces, but these techniques have many limitations. In this project, we carry out a mathematical study to understand quantitatively the limitations of existing modeling techniques, develop new modeling techniques to improve the accuracy, and study some key design problems for metasurfaces including the sizes and shapes of the tiny scatterers and their layout on the surface. The completion of this project will help engineers to design better metasurfaces and realize more exciting applications.
|Effective start/end date||1/01/20 → …|