@Article{CiCP-5-413,
author = {K. Appert, M. Azaïez and R. Gruber},
title = {Modes of a Plasma-Filled Waveguide Determined by a Numerical hp Method},
journal = {Communications in Computational Physics},
year = {2009},
volume = {5},
number = {2-4},
pages = {413--425},
abstract = {<p style="text-align: justify;">We present the application of the recent physics-conforming COOL method
[2, 4] to the eigenvalue problem of a cylindrical waveguide filled with unmagnetized
plasma. Using the Fourier transform only along the waveguide and not in poloidal direction, this is a relevant test case for a numerical discretization method in two dimensions (radial and poloidal). Analytically, the frequency spectrum consists of discrete
electromagnetic parts and, depending on the electron density profile of the plasma, of
infinitely degenerate and/or continuous, essentially electrostatic parts. If the plasma
is absent, the latter reduces to the infinitely degenerate zero eigenvalue of electrostatics. A good discretization method for the Maxwell equations must reproduce these
properties. It is shown here that the COOL method meets this demand properly and
to very high precision.</p>},
issn = {1991-7120},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/cicp/7740.html}
}