4 papers
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…
Kharitonov's Theorem with Degree Drop: a Wronskian Approach
Jason Elsinger, Anthony Stefan, Aaron Welters
In this paper, we present a simplified proof of Kharitonov's Theorem, an important result on determining the Hurwitz stability of interval polynomials. Our new approach to the proo…
Complete characterization of symmetric Kubo-Ando operator means satisfying Molnár's weak associativity
Yury Grabovsky, Graeme W. Milton, Aaron Welters
We provide a complete characterization of a subclass of weakly associative means of positive operators in the class of symmetric Kubo-Ando means. This class, which includes the geo…