3 papers
physics.class-ph2025
Computing leaky waves in semi-analytical waveguide models by exponential residual relaxation
Hauke Gravenkamp, Bor Plestenjak, Daniel A. Kiefer
Semi-analytical methods for the modeling of guided waves in structures of constant cross-section lead to frequency-dependent polynomial eigenvalue problems for the wavenumbers and…
math.NA2024
A Sylvester equation approach for the computation of zero-group-velocity points in waveguides
Bor Plestenjak, Daniel A. Kiefer, Hauke Gravenkamp
Eigenvalues of parameter-dependent quadratic eigenvalue problems form eigencurves. The critical points on these curves, where the derivative vanishes, are of practical interest. A…
math.NA2024
On properties and numerical computation of critical points of eigencurves of bivariate matrix pencils
Bor Plestenjak
We investigate critical points of eigencurves of bivariate matrix pencils . Points for which form algebraic curves in and we focus…