Eur. Phys. J. Appl. Phys.
Volume 68, Number 2, November 2014
|Number of page(s)||12|
|Published online||15 October 2014|
Numerical method for full calculation of the electromagnetic field in a rectangular waveguide within overmoded configuration, using the fast Fourier transform
LCP/CLIO, Bât. 201P2, Université Paris-Sud, 91405 Orsay, France
a e-mail: Rui.Prazeres@u-psud.fr
Revised: 13 August 2014
Accepted: 25 August 2014
Published online: 15 October 2014
This paper describes a method of calculation of the transverse distributions of electric E(x, y) and magnetic H(x, y) fields, in a rectangular waveguide within overmoded configuration – i.e., when a large number eigenmodes are present. It uses the fast Fourier transform, instead of the conventional decomposition in a series of TEMpq modes. Although not using the eigenmode decomposition, this method still exhibits the amplitude of the whole set of eigenmodes TEMpq. As an example, a single mode propagation is shown to facilitate understanding of the method. Another example is shown, using a 2D Gaussian profile as input, which contains a large number of eigenmodes (overmoded configuration). As a result, a series of 2D profiles are displayed along the longitudinal axis z of the waveguide, to show the transverse amplitude distribution of the fields E(x, y, z) and H(x, y, z) when a Gaussian profile is used at waveguide entrance. This non-standard configuration may be observed, for example, in infrared Free-Electron Lasers. This method is used here to calculate the ohmic losses which are integrated along the waveguide propagation, and which are deduced from the transverse distribution of magnetic field.
© EDP Sciences, 2014
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.