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20242026
most citedA new numerical method for scalar eigenvalue problems in heterogeneous, dispersive, sign-changing materials

1 citations · 2 across the 6 of their papers we have counts for

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math.AP2026

The Calderón operator for time-harmonic Maxwell's equations in closed waveguides

Martin Halla

We consider the time-harmonic Maxwell's equations in a closed, cylindrical waveguide with longitudinal invariant but heterogeneous permittivity and permeability. We consider minima…

math.AP2026

Modal bases of coaxial electromagnetic step index fibers

Martin Halla

We consider the eigenvalue problem to find the modes of an electromagnetic coaxial step index fiber. More specific, we consider a closed (meaning PEC boundary conditions) cylindric…

math.AP2026

Length-explicit stability analysis of Helmholtz problems in leaky circular waveguides

Leszek Demkowicz, Martin Halla, Jens Markus Melenk

Motivated by the study and simulation of long, coiled optical fibers we consider in this article a simplified model that is prevalent in the engineering community. Mathematically,…