Evolution of Time-Harmonic Electromagnetic and Acoustic Waves Along Waveguides
Journal article, 2018

We study time-harmonic electromagnetic and acoustic waveguides, modeled by an infinite cylinder with a non-smooth cross section. We introduce an infinitesimal generator for the wave evolution along the cylinder and prove estimates of the functional calculi of these first order non-self adjoint differential operators with non-smooth coefficients. Applying our new functional calculus, we obtain a one-to-one correspondence between polynomially bounded time-harmonic waves and functions in appropriate spectral subspaces.

Maxwell’s equations

Electromagnetic waveguide

Functional calculus

Helmholtz equation

Acoustic waveguide


Medet Nursultanov

Chalmers, Mathematical Sciences, Analysis and Probability Theory

Andreas Rosén

Chalmers, Mathematical Sciences, Analysis and Probability Theory

Integral Equations and Operator Theory

0378-620X (ISSN) 1420-8989 (eISSN)

Vol. 90 5 53

Subject Categories

Computational Mathematics

Probability Theory and Statistics

Mathematical Analysis



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