The numerical simulation of wave scattering processes plays a critical role in chip and antenna design, radar cross section determination, biomedical imaging, wireless communications, and the development of new meta-materials and better waveguides to name a few. In order to enable design by simulation for problems arising in these applications, automatically adaptive solvers which resolve the complexity of the geometry and the input data, and combining these tools with neural networks to navigate the complicated design-optimization landscape play a critical role. On the adaptive solvers side, this has been made possible through the development of high-order integral equation methods which rely on well-conditioned integral representations, efficient quadrature formulas, and coupling to fast algorithms. In this talk, I will discuss the development and application of these tools for a) studying edge effects at insulator interfaces where waves tend to propagate at the interface of two insulating media (and are evanescent in the bulk); b) an industry collaboration with Meyer Sound for optimizing the design of horn-loaded speakers; and c) studying light propagation in an insect eye.

Talk will be in-person and on Zoom:
https://umich.zoom.us/j/98734707290

Contact: Shravan Veerapaneni