Fractional modeling of Electromagnetic wave propagation in meta-materials
Abstract
Solving full-wave Maxwell~s equations in complex geometry is memory-intensive and time-consuming even with today~s supercomputer. Development of novel methods to efficiently solve Maxwell~s equations in complex geometry is an interesting fundamental Electromagnetic problem. The novelty of this project is the development of fractional modelling approach to solve Maxwell~s equations. In their previous work, the PI has developed general Electromagnetic (EM) solutions in Fractional Space and successfully applied this method to space charge problem in vacuum diodes. In this project, the PI will extend his fractional approach to metamaterials. Metamaterials are engineered materials with unusual EM properties that cannot be found in natural materials. The unusual EM properties are derived from complex geometries which confine, diffract, and refract EM wave to achieve desired macroscopic properties. The complex geometries can be modelled by fractional space, and thus the fractional modeling of EM waves can be very efficient for handling full-wave Maxwell~s equations in metamaterials. They will compare their fractional approach with traditional computational methods and develop a useful tool for handing 2D metamaterial designs. I strongly recommend funding this project.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- May 23, 2019
- Source ID
- N629091912047
Entities
People
- Lay Kee Ang
Organizations
- Office of Naval Research
- Singapore University of Technology and Design
- United States Navy