Analysis and Applied Mathematics Seminar
David Nicholls
Univeristy of Illinois Chicago
Scattering of Electromagnetic Waves by a Quasiperiodic Grating: A High-Order Numerical Method
Abstract: In many applications of scientific and engineering interest, the
accurate modeling of linear waves scattered by quasiperiodic media
plays a crucial role. The ability to numerically simulate such
configurations robustly and rapidly is of overwhelming importance in
photonics applications. In this talk we will discuss the specific
problem of electromagnetic radiation interacting with a
two-dimensional multiply layered diffraction grating with
quasiperiodic interfaces. We describe how the classical boundary
perturbation method of Field Expansions can be extended to this
two-dimensional problem, and with specific numerical experiments we
will show the remarkable efficiency, fidelity, and high-order accuracy
one can achieve with an implementation of this algorithm.
Monday November 3, 2025 at 4:00 PM in 636 SEO