76 citations · 495 across the 37 of their papers we have counts for
39 papers
Towards a resolution of the Riemann hypothesis
R C McPhedran
This article contains work associated with a resolution of the Riemann hypothesis, following work by Taylor \cite{prt}, Lagarias and Suzuki \cite{lagandsuz} and Ki \cite{ki}, as we…
A review of anomalous resonance, its associated cloaking, and superlensing
Ross C. McPhedran, Graeme W. Milton
We review a selected history of anomalous resonance, cloaking due to anomalous resonance, cloaking due to complementary media, and superlensing.
Gaussian regularization for resonant states: open and dispersive optical systems
Brian Stout, Remi Colom, Nicolas Bonod +1
Resonant States (RS), also known as Quasi-Normal Modes (QNMs), are eigenstates that arise in spectral expansions of linear response functions of open systems. Manipulation of these…
"Killing Mie Softly": Analytic Integrals for Resonant Scattering States
R. C. McPhedran, B. Stout
We consider integrals of products of Bessel functions and of spherical Bessel functions, combined with a Gaussian factor guaranteeing convergence at infinity. Explicit representati…
Arguments Related to the Riemann Hypothesis: New Methods and Results
R. C. McPhedran
Four propositions are considered concerning the relationship between the zeros of two combinations of the Riemann zeta function and the function itself. The first is the Riemann hy…
Modal Expansion of the Scattered Field: Causality, Non-Divergence and Non-Resonant Contribution
Rémi Colom, Ross McPhedran, Brian Stout +1
Modal analysis based on the quasi-normal modes (QNM), also called resonant states, has emerged as a promising way for modeling the resonant interaction of light with open optical c…