Biomedical Engineering Reference
In-Depth Information
Fig. 5.6
, are shown for the various QD systems. The
optical intensity functions in each case are computed from the Eqs. (
5.6
)and(
5.7
)
Plots of the optical intensity functions,
f
(
λ
)
conduction band state
E
1
and the highest five valence band states
H
1
,
H
2
,
H
3
,
H
4
,and
H
5
for a particular QD system. The details of the procedure are described
earlier in the Sect.
5.2.2
. Next each computed optical transition strength is artificially
broadened by multiplication with a Gaussian distribution centered at the wavelength
of the transition [
42
,
43
]. Finally we add all of the five Gaussian functions to
calculate the total optical intensity function,
f(
)
. The complete expression for the
optical intensity function, plotted in Fig.
5.6
a-d, is given by Eqs. (
5.6
)and(
5.7
)as
follows:
λ
e
−
λ
−
λ
E
1
−
H
i
5
i
=
1
(
T
E
1
−
H
i
2
(
0
.
25
)
(
λ
)
T
E
1
−
H
i
=
)
.
f
(5.6)
where
TE
E
1
−
H
i
TE
E
1
−
H
i
[
TM
E
1
−
H
i
T
E
1
−
H
i
=(
[
110
]
/
]
/
[
001
]
)
(5.7)
110
