Films minces à base de Si nanostructuré pour des cellules ...

where(
D α is the ) passage matrix ( whose ) shape depends on the ( polarization (TE ) and
A
TM) and
2
A ′ 2
e
is linked to by propagation matrix
ikαd 0
(refer
B 2 B ′ 2
0 e −ikαd
Appendix I).
From equation 5.8, the reected amplitude can be obtained for known A 1 since,
B 1 = r glob A 1 . Hence, (
From the values of
the following form:
(
A ′ 2
B ′ 2
A ′ 2
B ′ 2
)
)
= D −1
2 D
(
)
A 1
r glob A 1
Eqn (5.10).
, the stationary eld of the pump is obtained with
E p (x)= A ′ 2e −jk 2x + B ′ 2e jk 2x
Eqn (5.11)
tel-00916300, version 1 - 10 Dec 2013
5.2.2 Incident electric eld amplitude, A 1
A realistic value for the incident electric eld amplitude has to be determined to
be fed as an input for simulations. In the PL experiments, we have access to the
intensity (I) of the laser which is the square amplitude of the incident electric eld
(Poynting vector). The intensity of the laser is calculated as 100 mW/mm 2 = 10 5
W/m 2 , in our case. This intensity is linked to the electric eld amplitude E p (x) by,
I = cε on | E p (x) | 2
2
From this, the amplitude of the incident electric eld is calculated by,
E p (x) =
Eqn (5.12)
√ 2I
cnε 0
Eqn (5.13)
where, n = refractive index of air = 1, c = 2.99 x 10 8 m/s is the speed of light
and e o = 8.85 x10 −12 C 2 /N.m 2 is the dielectric constant.
Thus, the amplitude of the electric eld calculated from equation 5.13 leads to
a value of 8x10 3 V/m. This value is fed as input A 1 in the code developed by our
team 1 .
5.2.3 Pump prole in the thin lm
The pump prole is simulated with regard to the angle of incidence, thickness of the
lm, and complex refractive index. The complex refractive index which vary as a
1 Dr. J. Cardin and Prof. C. Dufour devoloped the code for simulations.
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