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Transcript
p[C/m 3]
p[C/m 3]
x10-,
x 10,
9
0.4
3.5
0.3
3
0.22.5
0.1
0.4
0.3
8
0.2
7
0.1
6
2
0
0
5
I
-0.1
1.5
-0.1
4
-0.2
-0.3
0. 5
-0.4
-0.4
-0.3
-0.2
-0.1
0
0.1
0.2
-0.4
0.4
0.3
(a) Pref = 04 Cm 3 , Eref = 12.14kV/cm.
(b)
-0.3
-0.2
-0.1
pref = 10-5
x10-
p[C/m 3]
10.5
0.4
0.1
0
0.2
0.3
0.4
3
Cm- , Eref = 32.58
kV/cm.
p[C/m 3]
x 10,6
0.4
5.5
0.3
5
10
0.3
9.5
0.2
0.1
4
0.1
8.5
8
0
4.5
0.2
9
3.5
0
3
-0.3-1
1.3-1.5
-0.4
5.E
5
-0.4
-0.3
-0.2
-0.1
0
0.1
0.2
0.3
3
(c) pef = 10-6 Cm- , Eref =
3 9 . 9 6 kV
M
-0.4 -0.3 -0.2 -0.1
0.4
(d)
/cm.
*0.5
0
0.1
0.2
0.3
0.4
Pref = 10-6 Cm- 3 , Eref =1 kV/cm.
Figure 4-12: Charge density solution using charge injection boundary condition,
150 kV.
#o
Figure 4-12 shows the charge density solution for each case from table 4.2. All
solutions show that the charge density is greater in the smaller gap at 12 o'clock. The
solution is also less uniform with evidence of ripples, particularly for case 4 shown in
figure 4-12d. The ripples are indicative of numerical oscillations in the solution and
are more visible as pref is reduced. A finer mesh would allow for better resolution
of the charge density with the effect of reducing the ripples. A comparison of figures
4-12c and 4-12d indicates that a smaller Eref allows for more variation in charge
density along the emitter surface. This is in effect a closer approximation of the ideal
59