Abstract

Two measurements were performed of the fast initial fluorescence decay of the  4F3/2 state of Nd3+, following pulsed excitation of the ion in two garnet crystals, (i) Nd(1%), Er(15%), Cr(1%):YAG and (ii) Nd(1.5%), Er(20%):YSGG. The nature of the interaction between Nd3+ and Er3+ ions is analyzed with a Monte Carlo model for the nonradiative energy transfer from Nd to Er. Our measurements and the Monte Carlo analysis corroborate the presence of a submicrosecond fluorescence decay transient and the reported nature of the interaction that drives the energy transfer, i.e., a mixture of electrostatic interactions (dipole–dipole, dipole–quadrupole, and quadrupole–quadrupole) and an exchange interaction.

© 1997 Optical Society of America

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References

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  1. A. A. Kaminskii, Crystalline Lasers (CRC Press, New York, 1996); B. Henderson and G. F. Imbusch, Optical Spectroscopy of Inorganic Solids (Oxford Science, Oxford, 1989).
  2. M. Stalder and M. Bass, J. Opt. Soc. Am. B 8, 177 (1991).
    [CrossRef]
  3. W. Q. Shi, M. Bass, and M. Birnbaum, J. Opt. Soc. Am. B 6, 23 (1989).
    [CrossRef]
  4. S. R. Rotman, Opt. Lett. 15, 230 (1990).
    [CrossRef] [PubMed]
  5. O. Barbosa-Garcia, E. Jonguitud-Isurieta, L. A. Diaz-Torres, and C. W. Struck, Opt. Commun. 129, 273 (1996).
    [CrossRef]
  6. L. A. Diaz-Torres, O. Barbosa-Garcia, and C. W. Struck, “Reanalyzing two experimental donor emission transients for the nonradiative energy transfer process with Monte Carlo simulations, ” J. Lumin. (to be published).
  7. O. Barbosa-Garcia and C. W. Struck, J. Chem. Phys. 100, 4554 (1994).
    [CrossRef]
  8. T. Forster, Ann. Phys. 2 55 (1948); D. L. Dexter, J. Chem. 21, 836 (1953); 304 (1987).
  9. S. I. Golubov and Yu. V. Konobeev, Fiz. Tverd. Tela (Leningrad) 13, 3185 (1971), [ Sov. Phys. Solid State 13, 2679 (1972)];V. P. Sakun, Fiz. Tverd. Tela (Leningrad) 14, 2199 (1971), [Sov. Phys. Solid State 14, 1906 (1973)].

1996 (1)

O. Barbosa-Garcia, E. Jonguitud-Isurieta, L. A. Diaz-Torres, and C. W. Struck, Opt. Commun. 129, 273 (1996).
[CrossRef]

1994 (1)

O. Barbosa-Garcia and C. W. Struck, J. Chem. Phys. 100, 4554 (1994).
[CrossRef]

1991 (1)

1990 (1)

1989 (1)

Barbosa-Garcia, O.

O. Barbosa-Garcia, E. Jonguitud-Isurieta, L. A. Diaz-Torres, and C. W. Struck, Opt. Commun. 129, 273 (1996).
[CrossRef]

O. Barbosa-Garcia and C. W. Struck, J. Chem. Phys. 100, 4554 (1994).
[CrossRef]

Bass, M.

Birnbaum, M.

Diaz-Torres, L. A.

O. Barbosa-Garcia, E. Jonguitud-Isurieta, L. A. Diaz-Torres, and C. W. Struck, Opt. Commun. 129, 273 (1996).
[CrossRef]

Jonguitud-Isurieta, E.

O. Barbosa-Garcia, E. Jonguitud-Isurieta, L. A. Diaz-Torres, and C. W. Struck, Opt. Commun. 129, 273 (1996).
[CrossRef]

Rotman, S. R.

Shi, W. Q.

Stalder, M.

Struck, C. W.

O. Barbosa-Garcia, E. Jonguitud-Isurieta, L. A. Diaz-Torres, and C. W. Struck, Opt. Commun. 129, 273 (1996).
[CrossRef]

O. Barbosa-Garcia and C. W. Struck, J. Chem. Phys. 100, 4554 (1994).
[CrossRef]

J. Chem. Phys. (1)

O. Barbosa-Garcia and C. W. Struck, J. Chem. Phys. 100, 4554 (1994).
[CrossRef]

J. Opt. Soc. Am. B (2)

Opt. Commun. (1)

O. Barbosa-Garcia, E. Jonguitud-Isurieta, L. A. Diaz-Torres, and C. W. Struck, Opt. Commun. 129, 273 (1996).
[CrossRef]

Opt. Lett. (1)

Other (4)

L. A. Diaz-Torres, O. Barbosa-Garcia, and C. W. Struck, “Reanalyzing two experimental donor emission transients for the nonradiative energy transfer process with Monte Carlo simulations, ” J. Lumin. (to be published).

T. Forster, Ann. Phys. 2 55 (1948); D. L. Dexter, J. Chem. 21, 836 (1953); 304 (1987).

S. I. Golubov and Yu. V. Konobeev, Fiz. Tverd. Tela (Leningrad) 13, 3185 (1971), [ Sov. Phys. Solid State 13, 2679 (1972)];V. P. Sakun, Fiz. Tverd. Tela (Leningrad) 14, 2199 (1971), [Sov. Phys. Solid State 14, 1906 (1973)].

A. A. Kaminskii, Crystalline Lasers (CRC Press, New York, 1996); B. Henderson and G. F. Imbusch, Optical Spectroscopy of Inorganic Solids (Oxford Science, Oxford, 1989).

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Figures (2)

Fig. 1
Fig. 1

Experimental curves and MC simulations of the fluorescence decay of the  4F3/2 state of Nd ions in Nd(1%), Er(15%), and Cr(1%):YAG and in Nd(1.5%) and Er(20%):YSGG. For the MC simulations a fourfold interaction was assumed to drive the energy transfer from Nd to Er ions. The free parameter values for these simulations are listed in Table 1.

Fig. 2
Fig. 2

Experimental curves over an extended time and MC simulation of the fluorescence decay of the  4F3/2 state of Nd ions in Nd(1.5%) and Er(20%):YSGG. For the MC simulations a fourfold interaction was assumed to drive the energy transfer from Nd to Er ions. The free parameter values for these simulations are listed in Table 1.

Tables (1)

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Table 1 Free Parameters in Monte Carlo Computations

Equations (4)

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WMP(Rij)=CDA(6)(Rij)6+CDA(8)(Rij)8+CDA(10)(Rij)10+ ,
WEX(Rij)=1τDOexpγ1-RijRo,
ϕi(t)=exp-tτDOj=1NA exp[-WDA(Rij)t]=exp-1τDO+j=1NAWDA(Rij)t,
ϕD(t)=ϕi(t)av. over i.

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