41 citations · 66 across the 14 of their papers we have counts for
7 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…
An operator approach to the analysis of electromagnetic wave propagation in dispersive media. Part 1: general results
Maxence Cassier, Patrick Joly
We investigate in this chapter the mathematical models for electromagnetic wave propagation in dispersive isotropic passive linear media for which the dielectric permittivity $\var…
An operator approach to the analysis of electromagnetic wave propagation in dispersive media. Part 2: transmission problems
Maxence Cassier, Patrick Joly
In this second chapter, we analyse transmission problems between a dielectric and a dispersive negative material. In the first part, we consider a transmission problem between two…
Long time behaviour of the solution of Maxwell's equations in dissipative generalized Lorentz materials (II) A modal approach
Maxence Cassier, Patrick Joly, Luis Alejandro Rosas Martínez
This work concerns the analysis of electromagnetic dispersive media modelled by generalized Lorentz models. More precisely, this paper is the second of two articles dedicated to th…
High contrast elliptic operators in honeycomb structures
Maxence Cassier, Michael I. Weinstein
We study the band structure of self-adjoint elliptic operators , where has the symmetries of a honeycomb tiling of . W…
Bounds on Herglotz functions and fundamental limits of broadband passive quasi-static cloaking
Maxence Cassier, Graeme W. Milton
Using a sum rule, we derive new bounds on Herglotz functions that generalize those given in (Gustafson and Sjöberg 2010) and (Bernland, Luger and Gustafson 2011). These bounds appl…
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…