© 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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Phys. Status Solidi RRL 5, No. 1, 25 – 27 (2011) / DOI 10.1002/pssr.201004426
Dynamic photoluminescence lifetime
imaging for the characterisation
of silicon wafers
Sandra Herlufsen
*
, Klaus Ramspeck
**
, David Hinken, Arne Schmidt, Jens Müller, Karsten Bothe,
Jan Schmidt, and Rolf Brendel
Institute for Solar Energy Research Hamelin (ISFH), Am Ohrberg 1, 31860 Emmerthal, Germany
Received 6 October 2010, revised 24 October 2010, accepted 25 October 2010
Published online 28 October 2010
Keywords lifetime, Si, wafers, photoluminescence, imaging
**
Corresponding author: e-mail herlufsen@isfh.de, Phone: +00 49 5151 999 414, Fax: +00 49 5151 999 400
**
Now with Schott Solar AG, Carl-Zeiss-Straße 4, 63755 Alzenau, Germany
© 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
The recombination lifetime of crystalline silicon (Si) is
one of the most relevant parameters in solar cell production.
Particularly in the case of multicrystalline silicon (mc-Si),
spatially resolved information of the lifetime is of utmost
importance, as this material typically has strongly inhomo-
geneous recombination properties. Thus, camera-based ap-
proaches are highly preferable. Up to now, camera-based
photoluminescence (PL) techniques have predominantly
been used under steady-state conditions [1 – 5]. For the
conversion of the measured luminescence signal into the
carrier lifetime, a reliable calibration procedure is required.
One approach [3, 4] relates the luminescence emission to
the excess carrier density determined from calibrated con-
ductivity measurements carried out in the same setup. Un-
fortunately, this procedure relies on the knowledge of the
dopant density of the sample, the wafer thickness and the
validity of the underlying carrier mobility model. Alterna-
tively, a calibration procedure based on calculations of the
total number of emitted photons was recently suggested [5].
However, a precise knowledge of the optical parameters,
dopant concentration and thickness of the wafer is essential
in this case. Thus, a calibration-free approach enabling fast
carrier lifetime imaging with a high spatial resolution
would be of great advantage. A calibration-free analysis
can be realised by evaluating the time dependence of a
physical quantity related to the excess carrier density. On
the basis of measurements of the free carrier emission us-
ing an infrared camera, Ramspeck et al. [6] introduced the
dynamic infrared lifetime mapping (dynamic ILM) techni-
que. The aim of this work is to adapt this approach for
camera-based dynamic photoluminescence (dynamic PL)
measurements. The main advantages of PL measurements
compared to ILM measurements are: (i) PL measurements
are weakly influenced by measurement artefacts such as
trapping [7, 8] or depletion region modulation [9] and (ii)
they can be easily performed at room temperature.
The dynamic PL lifetime technique is based on two el-
ementary equations. The first expresses the relation be-
tween excess carrier density Δn and photoluminescence
signal I
PL
: I
PL
~ Δn(Δn + N
dop
), where N
dop
is the dopant
density [10]. The second equation describes the time de-
pendence of the excess carrier density Δn in the wafer, ba-
sed on the continuity equation d Δn(t)/dt = G – Δn(t)/ τ
eff
,
where G is the generation rate and τ
eff
is the effective car-
rier lifetime. This equation has to be solved for two cases:
Δn
rise
(t), after a light source is switched on (constant G > 0)
and Δn
fall
(t), after a light-source is switched off (G = 0).
The carrier density Δn(t) is schematically plotted in Fig. 1
We present a fast and calibration-free carrier lifetime imaging
technique based on photoluminescence (PL) measurements
using an InGaAs camera for the examination of crystalline
silicon wafers. The carrier lifetime is determined from the
time dependent luminescence emission after optical excita-
tion. A ratio, including four PL images acquired at different
times during the modulated excitation, is calculated and found
to depend only on the camera integration time and the effec-
tive carrier lifetime. Therefore, the carrier lifetime is unambi-
guously determined by this ratio without knowing any addi-
tional wafer parameter. We demonstrate the applicability of
the dynamic PL technique to multicrystalline silicon wafers.