The scattering of electromagnetic waves lies at the heart of most experimental techniques
over nearly the entire electromagnetic spectrum, ranging from radio waves to optics and x …

In this work, we investigate mathematical models for electromagnetic wave propagation in
dispersive isotropic media. We emphasize the link between physical requirements and …

We present a method based on the scattering T operator, and conservation of net real and
reactive power, to provide physical bounds on any electromagnetic design objective that can …

An invisibility cloak should completely hide an object from an observer, ideally across the
visible spectrum and for all angles of incidence and polarizations of light, in three …

In this review, we take an extensive look at the role that the principles of causality and
passivity have played in various areas of physics and engineering, including in the modern …

In a passive lossy acoustical system, sum rules derived from passivity explicitly relate the
broadband response to the spatial dimension of the system, which provide important design …

We present a general framework for the computation of structure-agnostic bounds on the
performance of passive cloaks over a nonzero bandwidth. We apply this framework in two …

We study the adjoint of the double layer potential associated with the Laplacian (the adjoint
of the Neumann–Poincaré operator), as a map on the boundary surface Γ of a domain in R 3 …

This paper is concerned with the time-dependent Maxwell's equations for a plane interface
between a negative material described by the Drude model and the vacuum, which fill …

We present an optimization framework based on Lagrange duality and the scattering T-
operator of electromagnetism to construct limits on the possible features that may be …