We present an approximate evaluation of the modal field distribution in an elliptical waveguide of small ellipticity in terms of modes of a circular waveguide. This with the aim of developing an approximate mode matching technique relying on the simple expressions of the field in terms of Bessel functions and avoiding the exceedingly complex modes of the elliptical waveguide, given in terms of Mathieu functions.
A perturbative approach for the determination of modes in slightly elliptical waveguides / Gentili, Gian Guido; Nesti, Renzo; Pelosi, Giuseppe; Selleri, Stefano. - STAMPA. - (2017), pp. 653-656. (Intervento presentato al convegno 19th International Conference on Electromagnetics in Advanced Applications, ICEAA 2017 tenutosi a ita nel 2017) [10.1109/ICEAA.2017.8065331].
A perturbative approach for the determination of modes in slightly elliptical waveguides
Gentili, Gian Guido;Nesti, Renzo;Pelosi, Giuseppe;Selleri, Stefano
2017
Abstract
We present an approximate evaluation of the modal field distribution in an elliptical waveguide of small ellipticity in terms of modes of a circular waveguide. This with the aim of developing an approximate mode matching technique relying on the simple expressions of the field in terms of Bessel functions and avoiding the exceedingly complex modes of the elliptical waveguide, given in terms of Mathieu functions.
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