Speaker: Dr. Eric Stachura, Kennesaw State University
Title: “Quantitative analysis of passive intermodulation and surface roughness"

Abstract: I will discuss a joint project with E. Cherkaev (University of Utah) and N. Wellander (FOI Sweden and Luleå University of Technology) on quantitative analysis of passive intermodulation (PIM) when the underlying surface conductor is rough. Intermodulation distortion occurs when imperfections in high power systems (like radio base stations) produce nonlinear behavior. These nonlinearities produce intermodulation: multiple frequencies pass through a nonlinear system and generate new spurious frequencies. Frequently, PIM occurs as a result of multiple cell phone providers sharing certain paths in wireless networks.  Certain nonlinearities (e.g. the electro-thermal effect) which are fundamental to electromagnetic wave interaction with matter cannot be ignored. In this talk, I will discuss existence and uniqueness of solutions to a simple model for PIM when the domain is Lipschitz. This model in particular includes temperature dependent material parameters in Maxwell's equations.

The Analysis and Applied Mathematics (AAM) Seminar is intended for Kennesaw State faculty working in the various areas of analysis and applied mathematics to get together to discuss their current work or related questions. Seminars often involve advanced mathematical knowledge. However, the seminars are open to anyone who is interested in attending.

This seminar will be held virtually and in-person.