Evolution of time-harmonic electromagnetic and acoustic waves along\n waveguides

2017/06/25 by Medet Nursultanov, Andreas Rosén, Nursultanov, Medet +1
Computer Science · Engineering · Mathematics · #35J05 #35Q61 #47A10 #47A60 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1706.08122

openalex publication_date 2017/06/25 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

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

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