April 2016
Intermediate to advanced
886 pages
26h 47m
English
Content preview from Electromagnetic Waves, Materials, and Computation with MATLAB®
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Two-Dimensional Problem 341
k
m
a
n
b
m n
mn
c
( )
=
⎛
⎝
⎜
⎞
⎠
⎟
+
⎛
⎝
⎜
⎞
⎠
⎟
⎡
⎣
⎢
⎢
⎤
⎦
⎥
⎥
= ∞ =
TM
2 2
1, 2 1, 2
π π
1 2/
, , , ,… ,, , .… ∞
The dominant mode is TE
10
mode, for a > b, and
k
a
a
c
10
for
( )
=
⎛
⎝
⎜
⎞
⎠
⎟
= =
TE
,
π
π 1.
Let us use GLANT to determine the TE and TM modes. Figure 16.18 shows 18 elements,
16 nodes. Table 16.7 lists global node coordinates and Table 16.8 gives connectivity matrix.
Note that for TE modes, since the boundary conditions are Neumann type, all the nodes
are free nodes, whereas for TM modes the boundary conditions are homogeneous Dirichlet
type, and hence the nodes on the boundary are prescribed nodes of zero potential.
For TM modes,
prn = [1, 2, 3, 4, ...
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