Analysis of Maxwell's Equations in Passive Layered Media

Tuesday, February 28, 2017 - 11:00am - 12:00pm
Lind 305
Robert Viator (University of Minnesota, Twin Cities)
Magnetic materials are known to exhibit light-matter interactions, such as Faraday Rotation, making them ideal for the design of non-reciprocal devices such as isolators, phase shifters, and many others; however, such magnetic materials also typically induce high absorption in frequency ranges of interest, an effect that is detrimental to the performance of these non-reciprocal devices. Over the past decade, mathematicians and physicists have begun to demonstrate that magnetic-dielectric composites are effective in producing gyroscopic effects while reducing overall absorption compared to homogeneous magnetic materials over broad frequency ranges. In this talk, some of the mathematical tools and techniques which can be used to analyze the macroscopic effects of these materials will be introduced and discussed, paying special attention to one-directional layered magnetic-dielectric composites. Numerical results will also be presented demonstrating the persistence of certain gyroscopic effects for large loss parameters arising from the conductivity of the magnetic layers.