Partial Differential Equations - Modelling and ... - ResearchGate

Electromagnetic Scattering 103
Table 1. Propagation of a plane harmonic TE wave in a waveguide.
δ ≈ λ/15
Scheme spc time, s C A
Yee 21 7 0.99613 1.00
Co-volume 46 29 0.99850 1.00
FETD 44 3151 1.0015 0.723
δ ≈ λ/30
Scheme spc time, s C A
Yee 43 61 0.99896 1.00
Co-volume 106 263 0.99964 1.00
FETD 89 23040 1.0008 0.96
h ,
he
Fig. 4. Propagation of a plane harmonic TE wave in a waveguide showing variation
of the computed phase velocity with ∆t/〈h〉 (∆t/〈h e〉 for FETD). Solid symbols
and solid line: δ ≈ λ/15; open symbols and dotted line: δ ≈ λ/30. Here 〈h〉 is the
averaged Voronoï edge length, 〈h e〉 is the averaged minimal triangle height.
6.2 Scattering by a Circular PEC Cylinder
The second example is the simulation of scattering of a plane single frequency
TE wave by a perfectly conducting circular cylinder of diameter λ. The objective
is to use this example to illustrate the order of accuracy that can
be achieved with the co-volume solution technique and the FETD technique
on unstructured meshes. The problem is solved on a series of unstructured
meshes, with mesh spacings ranging from λ/8 toλ/128. The minimum distance
from the rectangular PML to the cylinder is λ. When the spacing is