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arXiv · 1706.08122

Evolution of time-harmonic electromagnetic and acoustic waves along waveguides

Medet Nursultanov·Andreas Rosén
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Abstract

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.

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Medet Nursultanov, Andreas Rosén. 2017-06-25. Evolution of time-harmonic electromagnetic and acoustic waves along waveguides. https://arxiv.org/abs/1706.08122

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