Waveguides

From ONELAB
Revision as of 11:32, 15 March 2014 by Amodave (talk | contribs) (Created page with "{{metamodel|waveguides}} {{mytexdefs}} == Introduction == This academic example introduces the numerical solution of eigenvalue problems. The Helmholtz equation (scalar and...")

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

2D and 3D models of metallic waveguides

Download model archive (waveguides.zip)
Browse individual model files

\(\renewcommand{\vec}[1]{\mathbf{#1}} \newcommand{\Grad}[1]{\mathbf{\text{grad}}\,{#1}} \newcommand{\Curl}[1]{\mathbf{\text{curl}}\,{#1}} \newcommand{\Div}[1]{\text{div}\,{#1}} \newcommand{\Real}[1]{\text{Re}({#1})} \newcommand{\Imag}[1]{\text{Im}({#1})} \newcommand{\pvec}[2]{{#1}\times{#2}} \newcommand{\psca}[2]{{#1}\cdot{#2}} \newcommand{\E}[1]{\,10^{#1}} \newcommand{\Ethree}{{\mathbb{E}^3}} \newcommand{\Etwo}{{\mathbb{E}^2}} \newcommand{\Units}[1]{[\mathrm{#1}]} \)

Introduction

This academic example introduces the numerical solution of eigenvalue problems. The Helmholtz equation (scalar and vector versions) is considered with homogeneous Dirichlet boundary conditions, for different basic geometries (i.e. linear, squared, circular and cuboid domain). These problems have a family of solutions. The eigenvalue solver used for this example provide the first eigenvalues and the associated eigenfunctions (i.e. the first possible solutions).

$\rightarrow$ To run the example, open main.pro with Gmsh.

Description of the problem

Mathematical and numerical formulations

Waveguides

Some results

Here are some snapshots.

References

Cite error: <ref> tag defined in <references> has group attribute "" which does not appear in prior text.
Cite error: <ref> tag defined in <references> has group attribute "" which does not appear in prior text.


ERROR in secure-include.php: /onelab_files/academic_eigenvalues/COPYING.txt does not look like a URL, and doesn't exist as a file.