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On the natural modes of helical structures

2015/02/02 by Sven Nordebo, Mats Gustafsson, Nordebo, Sven +10
Engineering · Physics and Astronomy · #Classical Physics (physics.class-ph) #Electromagnetic Compatibility and Measurements #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #FOS: Physical sciences #physics.class-ph

paper · pdf · doi:10.48550/arxiv.1502.00496

arxiv created 2015/02/02 · openalex publication_date 2015/02/02 · arxiv updated 2015/02/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Natural modes of helical structures are treated by using the periodic dyadic Green's functions in cylindrical coordinates. The formulation leads to an infinite system of one-dimensional integral equations in reciprocal (Fourier) space. Due to the twisted structure of the waveguide together with a quasi-static assumption the set of non-zero coefficients in reciprocal space is sparse and the formulation can therefore be used in a numerical method based on a truncation of the set of coupled integral equations. The periodic dyadic Green's functions are furthermore useful in a simple direct calculation of the quasi-static fields generated by thin helical wires.

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