336
12 Carbon-Nanotube Reinforced Polymers
3 mm
3 mm
z
y
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
y
x
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
Fig. 12.14 A surface-breaking checkerboard
Fig. 12.15 Reconstruction of
the middle row and column of
the surface-breaking
checkerboard
y
x
-0.01
-0.01
0.00
-1.00
-0.01
-1.00
0
0
.
1
-
0
0
.
1
- 0
0
.
1
-
-0.01
0.00
0.00
0.00
-1.00
high spatial-frequencies, suggests that we use a 31 × 31 raster scan for the receiver
probe, rather than the 16 × 16 scan that was used in the preceding example, but
covering the same area. The resolution of the receiver scan was thereby improved to
0.2 mm over 0.4 mm.
When we do this we get an excellent reconstruction; the top layer is reconstructed
exactly (zero anomalous conductivity), and the reconstructions of the middle row
and column of the bottom layer are shown in Fig. 12.16.
Now, we can repeat our earlier calculation to determine the band-gap distribution
within the anomalous region. Clearly, where the solution is zero, the band-gap is also