32 citations · 84 across the 19 of their papers we have counts for
8 papers · 1 filter
Broadband quasistatic passive cloaking: bounds and limitations in the near-field regime
Maxence Cassier, Graeme W. Milton, Aaron Welters
We consider here several aspects of the following challenging question: is it possible to use a passive cloak to make invisible a dielectric inclusion on a finite frequency interva…
Effective Operators in the Theory of Composites: Hilbert Space Framework
Aaron Welters
In this chapter, the Hilbert space framework in the mathematical theory of composite materials is introduced for studying the properties of effective operators. The goal is to intr…
Effective operators and their variational principles for discrete electrical network problems
Kenneth Beard, Anthony Stefan, Robert Viator +1
Using a Hilbert space framework inspired by the methods of orthogonal projections and Hodge decompositions, we study a general class of problems (called Z-problems) that arise in e…
A rigorous approach to the field recursion method for two-component composites with isotropic phases
Maxence Cassier, Aaron Welters, Graeme W. Milton
In this chapter of the book entitled, "Extending the Theory of Composites to Other Areas of Science" [edited by Graeme W. Milton, 2016] we give a rigorous derivation of the field e…
On overdamping phenomena in gyroscopic systems composed of high-loss and lossless components
Alexander Figotin, Aaron Welters
Using a Lagrangian framework, we study overdamping phenomena in gyroscopic systems composed of two components, one of which is highly lossy and the other is lossless. The losses ar…
Pathological scattering by a defect in a slow-light periodic layered medium
Stephen P. Shipman, Aaron T. Welters
Scattering of electromagnetic fields by a defect layer embedded in a slow-light periodically layered ambient medium exhibits phenomena markedly different from typical scattering pr…
Lagrangian Framework for Systems Composed of High-Loss and Lossless Components
Alex Figotin, Aaron Welters
Using a Lagrangian mechanics approach, we construct a framework to study the dissipative properties of systems composed of two components one of which is highly lossy and the other…
Dissipative Properties of Systems Composed of High-Loss and Lossless Components
Alexander Figotin, Aaron Welters
We study here dissipative properties of systems composed of two components one of which is highly lossy and the other is lossless. A principal result of our studies is that all the…