2 papers
math.AP2026
Analytic spectral perturbation theory for a high-contrast Maxwell operator
Robert V. Kohn, Raghavendra Venkatraman
We study analytic spectral perturbation theory for the time-harmonic Maxwell operator in a perfectly electrically conducting cavity containing a high-contrast core--shell structure…
math.AP2024
Transverse Magnetic ENZ Resonators: Robustness and Optimal Shape Design
Robert V. Kohn, Raghavendra Venkatraman
We study certain "geometric-invariant resonant cavitie"' introduced by Liberal et. al in a 2016 Nature Comm. paper, modeled using the transverse magnetic reduction of Maxwell's equ…