2 papers
math.SP2026
Mathematical Foundation for the Generalised Brillouin zone of m-banded Toeplitz operators
Yannick de Bruijn, Erik Orvehed Hiltunen
We show that the spectrum of the open-boundary limit of banded Toeplitz matrices is real whenever the associated symbol function is real-valued along a closed polar curve. Building…
math.AP2024
Complex Band Structure for Subwavelength Evanescent Waves
Yannick De Bruijn, Erik Orvehed Hiltunen
We present the mathematical and numerical theory for evanescent waves in subwavelength band gap materials. We begin in the one-dimensional case, whereby fully explicit formulas for…