2020/04/15 by Mojtaba Dehmollaian, Christophe Caloz, Dehmollaian, Mojtaba +1
Engineering · Physics and Astronomy · #Advanced Antenna and Metasurface Technologies #Applied Physics (physics.app-ph) #FOS: Physical sciences #Microwave Engineering and Waveguides #Photonic Crystals and Applications
paper · pdf · doi:10.48550/arxiv.2004.07350
openalex publication_date 2020/04/15 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
This paper introduces a general technique for inter-mapping the complex\nspatial frequency (or propagation constant) \γ=\α+j\β and the\ntemporal frequency \ω = \ω_\r+j\ω_\i of an arbitrary\nelectromagnetic structure. This technique, based on the analytic property of\ncomplex functions describing physical phenomena, invokes the analytic\ncontinuity theorem to assert the unicity of the mapping function, and find this\nfunction from known data within a restricted domain of its analycity by\ncurve-fitting to a generic polynomial expansion. It is not only applicable to\ncanonical problems admitting an analytical solution, but to \any\nproblems, from eigen-mode or driven-mode full-wave simulation results. The\nproposed technique is demonstrated for several systems, namely an unbounded\nlossy medium, a dielectric-filled rectangular waveguide, a periodically-loaded\ntransmission line, a one-dimensional photonic crystal and a series-fed patch\n(SFP) leaky-wave antenna (LWA), and it is validated either by analytical\nresults or by full-wave simulated results.\n