Abstract

In this Letter, a method for recovering homogeneous upconversion coefficients (HUCs) in Er3+-doped glasses and erbium-activated devices is illustrated. It is based on a particle swarm optimization (PSO) approach. The HUCs are calculated on the basis of known values of optical gain evaluated in different pumping conditions. The obtained numerical results proof that the proposed technique provides solutions that are very close to the expected values. Therefore the method constitutes a tool for the design and optimization of efficient rare-earth doped lasers and optical amplifiers. This approach can be considered a feasible and valid alternative method in the field of material science and optical engineering for determining HUCs and avoiding the employment of expensive equipment for the measurement of ion–ion interaction parameters.

© 2011 Optical Society of America

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References

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Chiasera, A.

D’Orazio, A.

De Sario, M.

Desurvire, E. B.

Eberhart, R.

J. Kennedy and R. Eberhart, in Proceedings of IEEE Conference on Neural Networks (IEEE, 1995), pp. 1942–1948.

Eberhart, R. C.

J. Kennedy and R. C. Eberhart, Swarm Intelligence(Morgan Kaufmann, 2001).

Eichhorn, M.

M. Eichhorn, Appl. Phys. B 93, 269 (2008).
[CrossRef]

Ferrari, M.

Granpayeh, N.

Houde-Walter, S. N.

Jacob, D.

Jones, G. C.

Kashyap, R.

Kennedy, J.

J. Kennedy and R. Eberhart, in Proceedings of IEEE Conference on Neural Networks (IEEE, 1995), pp. 1942–1948.

J. Kennedy and R. C. Eberhart, Swarm Intelligence(Morgan Kaufmann, 2001).

Lopez, V.

Mescia, L.

Mowla, A.

Nemova, G.

Nikonorov, N.

Paez, G.

Petruzzelli, V.

Prassas, M.

Prudenzano, F.

Przhevuskii, A.

Strojnik, M.

Tunick, A.

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Figures (2)

Fig. 1
Fig. 1

Pairs ( C up , C 3 ) recovered by considering 30 independent computer code runs of the PSO method.

Fig. 2
Fig. 2

Evolution of the best (full curve) and average (dashed curve) fitness function towards the target (dotted curve).

Tables (2)

Tables Icon

Table 1 Glass Spectroscopic Parameters and Fundamental Mode Losses at the Signal and Pump Wavelength

Tables Icon

Table 2 Mean Values and Standard Deviations of Different Recovered Pairs ( C up , C 3 ) and Corresponding Target Values

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

v i ( n + 1 ) = w × v i ( n ) + c 1 × r 1 × [ x b i ( n ) x i ( n ) ] + c 2 × r 2 × [ x g ( n ) x i ( t ) ] ,
x i ( n + 1 ) = x i ( n ) + v i ( n + 1 ) ,
W C up = C up N 2 ( P p ) ,
W C 3 = C 3 N 3 ( P p ) ,
F ( x i ) = k = 1 l ( G k G k i ) 2 with   i = 1 , 2 , M ,

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