Numerically solving (3.3.1) to the solid density aluminum plasma shown in
Fig. 3.9, the resultant collision frequency is plotted in Fig. 3.16 [10]. In Fig. 3.16,
the laser wavelength is 800 nm, and two cases are shown for the laser intensity of
1
J n (X)
J n (X)
J 1 (X)
J 2 (X) J 3 (X) J 4 (X) J 5 (X)
1
2
3
4
5
6
7
8
9
10
0.75
0.5
0.25
-0.25
-0.5
0
Fig. 3.15 Profiles of the n-th order Bessel function for n ¼ 1 ~ 5
10
4
10
16
10 15
10
14
lin response
10
14 W/cm
2
10
15 W/cm
2
Spitzer
10
13
1
10
k B T [eV]
10 2
10 3
10 4
10
5
T [K]
Re v
ei [1/s]
10
6
10
7
10
8
Fig. 3.16 Real part of the
electron-ion collision
frequency vs. electron
temperature for aluminum
(n i ¼ 6 Â 10
22 cm
À3
,
T i ¼ T e ) for laser
wavelength 800 nm. The
limiting case for high T
(Spitzer’s formula [1]) is
also shown. [Fig. 6 (a) in
Ref. 10]
3.3 Quantum Theory of Electric Conductivity in Dense Plasmas
97