76 citations · 495 across the 37 of their papers we have counts for
5 papers · 1 filter
"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…
Platonic Localisation: One Ring to Bind Them
A. B. Movchan, R. C. McPhedran, G. Carta +1
In this paper, we present an asymptotic model describing localised flexural vibrations along a structured ring containing point masses or spring-mass resonators in an elastic plate…
Sum Rules for Functions of the Riemann Zeta Type
R. C. McPhedran
We consider analytic functions of the Riemann zeta type, for which, if is a zero, so is . We use infinite product representations of these functions, assuming their zeros…