In order to understand the observed behavior, we first
recall that the efficiency of upconversion depends on the
probability of ESA or ET between adjacent excited ions, as
well as the quantum efficiency of the emitting level. By ei-
ther process, the dynamics of the upconversion signals de-
pends on the lifetime of the intermediate excited states in-
volved. For the samples used, the lifetime of the states
2
4
4
4
H9/2
,
S3/2
,
F9/2 , and I
were reported in Ref. 12.
11/2
3ϩ
The values obtained for the same range of Er concentra-
tions were ( H )ϳ15–20 s, ( S3/2)ϭ86–573 s,
lifetimes of the states I9 and I
on the basis of the results for other host materials,
2
4
9/2
4
4
( F )ϭ302–645 s, and ( I11/2)ϭ10.6–9.4 ms. The
9/2
4
4
were not measured, but
13/2
/2
1
–6,8͑a͒
we
expect that they are of the same order of magnitude as
4
( I11/2). Such long lifetimes are determined by the mul-
tiphonon relaxation rates, which are small because of the
small phonon energies associated with the fluoroindate ma-
4
4
trix. Thus, considering that the states I9 and I
are
13/2
/2
likely to participate in the upconversion processes, we con-
clude that the long values observed for and , provide a
r
d
favorable evidence for the relevance of the ET mechanism.
Although ESA may also contribute for the generation of
the upconverted radiation, its contribution is expected to be
very small in the present case. For samples with smaller
FIG. 3. Simplified energy levels scheme for Er3ϩ in the fluoroindate glass.
The downward arrows indicate the observed upconverted fluorescence and
the curved arrows on the right side represent energy transfer. The letters
beside the straight arrows correspond to the following spectral lines: A
3ϩ
Er concentration, both processes may become equally rel-
3ϩ
evant, and the selection of the proper Er concentration is
an important step for each kind of application.
(
ϳ530 nm); B(ϳ550 nm); C(ϳ670 nm); D (ϳ808 and ϳ827 nm͒;
1
D (ϳ854 nm); and E(ϳ407 nm).
2
This work was supported by the Brazilian Agencies Con-
selho Nacional de Desenvolvimento Cient ´ı fico e Tecnol o´ gico
been observed in a larger number of systems including flu-
͑CNPq͒, Financiadora Nacional de Estudos e Projetos
oroindate glasses.1
2,13
This mechanism can arise from elec-
͑FINEP͒, and Funda c¸ ao de Apoio a Pesquisa ͑FACEPE͒. We
˜ `
tric multipole or exchange interactions, and its rate constant
depends on the ion–ion separation. Here, we expect that ET
is the dominant process because of the large Er3 concentra-
tion in our samples, and because the intermediate ESA step
also thank Blenio J. P. da Silva for polishing the samples and
TELEBRAS for the loan of the diode laser used.
´
ϩ
4
2
(
I13/2→ H11/2) is a two-photon transition with small prob-
ability to occur due to the weak laser intensity used. There-
fore, the most relevant pathway for upconversion initiates
1
B. R. Reddy and P. Venkateswarlu, Appl. Phys. Lett. 64, 1327 ͑1994͒.
M. Shojiya, M. Takahashi, R. Kanno, Y. Kawamoto, and K. Kadono, Appl.
4
4
with the transition I → I . Afterwards, ET between
2
15/2
13/2
3
ϩ
4
two excited Er ions at the I
level will take one ion to
3/2
Phys. Lett. 65, 1874 ͑1994͒.
M. P. Hehlen, G. Frei, and H. U. Gu
Gharavi and G. L. McPherson, Appl. Phys. Lett. 61, 2635 ͑1992͒.
1
4
3
¨
del, Phys. Rev. B 50, 16264 ͑1994͒; A.
the I level. This step is followed by two other successive
transfer processes from ions at the I1 state, which result in
9
/2
4
3/2
4
A. S. L. Gomes, C. B. de Arau
´
jo, B. J. Ainslie, and S. P. Craig-Ryan, Appl.
4
4
the excitation to the higher levels G9/2
,
G11/2 , and
Phys. Lett. 57, 2169 ͑1990͒.
S. Tanabe, S. Yoshi, K. Hirao, and N. Soga, Phys. Rev. B 45, 4620 ͑1992͒.
P. Xie and S. C. Rand, Appl. Phys. Lett. 63, 3125 ͑1993͒.
3
H9/2
.
After nonradiative decay to the states
5
6
7
8
2H1
1/2
4S
3/2 9/2
4F9/2 , and I , radiative transitions to the
4
,
,
ground state give rise to the observed upconverted visible
fluorescence. The infrared emissions are due to transitions
E. Desurvire and J. R. Simpson, J. Lightwave Technol. 7, 835 ͑1989͒.
͑
a͒ X. Zou and T. Izumitani, J. Non-Cryst. Solids 162, 68 ͑1993͒ and
4
4
4
4
references therein; ͑b͒ F. E. Auzel, Proc. IEEE 61, 758 ͑1973͒.
T. Sugana, Y. Miyasima, and T. Komuki, Electron. Lett. 26, 2042 ͑1990͒;
K. Annapurna, M. Hanumanthu, and S. Buddhudu, Spectrochim. Acta
I9/2→ I
and S → I
.
15/2
3/2
13/2
9
To characterize the temporal evolution of the signals,
another series of experiments was performed. The laser beam
was chopped at 8 Hz and the fluorescence was observed with
a time resolution better than 1 ms. The signal corresponding
to the various upconverted emissions grew to their maximum
value in Ͻ15 ms and decay in Ͻ6 ms. In general, the
4
8A, 791 ͑1992͒; J. Fernandez, R. Bolda, and M. A. Arriandiago, Opt.
Mater. 4, 91 ͑1994͒.
1
0
Y. Messaddeq and M. Poulain, Mater. Sci. Forum 67/68, 161 ͑1991͒.
R. M. Almeida, J. C. Pereira, Y. Messaddeq, and M. A. Aegerter, J. Non-
Cryst. Solids 161, 105 ͑1993͒.
R. Reiche, L. A. O. Nunes, C. C. Carvalho, Y. Messaddeq, and M. A.
Aegerter, Solid State Commun. 85, 773 ͑1993͒.
11
r
d
12
13
rise and decay times decrease for increasing concentrations,
and for the range of Er3 concentrations studied, and
ϩ
d
r
L. E. E. de Araujo, A. S. L. Gomes, Cid B. de Araujo, Y. Messaddeq, A.
´
´
change up to ϳ50%.
Florez, and M. A. Aegerter, Phys. Rev. B 50, 16219 ͑1994͒.
604
Appl. Phys. Lett., Vol. 68, No. 5, 29 January 1996
Ara u´ jo et al.
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