Abstract

Theoretical analyses show that the use of high-numerical-aperture (NA) fibers can significantly increase the conversion efficiency of a blue Pr3+-doped fluoride fiber upconversion laser and reduce the pump-power threshold. A record high efficiency of 14% and a low 1017-nm threshold of 30 mW were achieved experimentally with a fiber with a NA of 0.39.

© 1998 Optical Society of America

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References

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1997

Y. Zhao, Opt. Commun. 134, 470 (1997).
[CrossRef]

1995

1994

Y. Ohishi, T. Kanamori, Y. Terunuma, M. Shimizu, M. Yamada, and S. Sudo, IEEE Photon. Technol. Lett. 6, 195 (1994).
[CrossRef]

A. C. Tropper, J. N. Carter, R. D. T. Lauder, and D. C. Hanna, J. Opt. Soc. Am. B 11, 886 (1994).
[CrossRef]

D. Piehler, D. Craven, N. Kwong, and H. Zaren, Electron. Lett. 29, 1857 (1994).
[CrossRef]

1992

B. Pederson, W. J. Miniscalco, and R. S. Quimby, IEEE Photon. Technol. Lett. 4, 446 (1992).
[CrossRef]

1978

Carter, J. N.

Craven, D.

D. Piehler, D. Craven, N. Kwong, and H. Zaren, Electron. Lett. 29, 1857 (1994).
[CrossRef]

Fleming, S.

Y. Zhao and S. Fleming, in Advanced Solid-State Lasers, B. Chai and S. Payne, eds., Vol. 24 of OSA Proceedings Series (Optical Society of America, Washington, D.C., 1995), postdeadline paper PD 22.

Gosnell, T. R.

Hanna, D. C.

Kanamori, T.

Y. Ohishi, T. Kanamori, Y. Terunuma, M. Shimizu, M. Yamada, and S. Sudo, IEEE Photon. Technol. Lett. 6, 195 (1994).
[CrossRef]

Kwong, N.

D. Piehler, D. Craven, N. Kwong, and H. Zaren, Electron. Lett. 29, 1857 (1994).
[CrossRef]

Lauder, R. D. T.

Marcuse, D.

Miniscalco, W. J.

B. Pederson, W. J. Miniscalco, and R. S. Quimby, IEEE Photon. Technol. Lett. 4, 446 (1992).
[CrossRef]

Ohishi, Y.

Y. Ohishi, T. Kanamori, Y. Terunuma, M. Shimizu, M. Yamada, and S. Sudo, IEEE Photon. Technol. Lett. 6, 195 (1994).
[CrossRef]

Pederson, B.

B. Pederson, W. J. Miniscalco, and R. S. Quimby, IEEE Photon. Technol. Lett. 4, 446 (1992).
[CrossRef]

Piehler, D.

D. Piehler, D. Craven, N. Kwong, and H. Zaren, Electron. Lett. 29, 1857 (1994).
[CrossRef]

Quimby, R. S.

B. Pederson, W. J. Miniscalco, and R. S. Quimby, IEEE Photon. Technol. Lett. 4, 446 (1992).
[CrossRef]

Shimizu, M.

Y. Ohishi, T. Kanamori, Y. Terunuma, M. Shimizu, M. Yamada, and S. Sudo, IEEE Photon. Technol. Lett. 6, 195 (1994).
[CrossRef]

Sudo, S.

Y. Ohishi, T. Kanamori, Y. Terunuma, M. Shimizu, M. Yamada, and S. Sudo, IEEE Photon. Technol. Lett. 6, 195 (1994).
[CrossRef]

Terunuma, Y.

Y. Ohishi, T. Kanamori, Y. Terunuma, M. Shimizu, M. Yamada, and S. Sudo, IEEE Photon. Technol. Lett. 6, 195 (1994).
[CrossRef]

Tropper, A. C.

Xie, P.

Yamada, M.

Y. Ohishi, T. Kanamori, Y. Terunuma, M. Shimizu, M. Yamada, and S. Sudo, IEEE Photon. Technol. Lett. 6, 195 (1994).
[CrossRef]

Zaren, H.

D. Piehler, D. Craven, N. Kwong, and H. Zaren, Electron. Lett. 29, 1857 (1994).
[CrossRef]

Zhao, Y.

Y. Zhao, Opt. Commun. 134, 470 (1997).
[CrossRef]

Y. Zhao and S. Fleming, in Advanced Solid-State Lasers, B. Chai and S. Payne, eds., Vol. 24 of OSA Proceedings Series (Optical Society of America, Washington, D.C., 1995), postdeadline paper PD 22.

Electron. Lett.

D. Piehler, D. Craven, N. Kwong, and H. Zaren, Electron. Lett. 29, 1857 (1994).
[CrossRef]

IEEE Photon. Technol. Lett.

B. Pederson, W. J. Miniscalco, and R. S. Quimby, IEEE Photon. Technol. Lett. 4, 446 (1992).
[CrossRef]

Y. Ohishi, T. Kanamori, Y. Terunuma, M. Shimizu, M. Yamada, and S. Sudo, IEEE Photon. Technol. Lett. 6, 195 (1994).
[CrossRef]

J. Opt. Soc. Am.

J. Opt. Soc. Am. B

Opt. Commun.

Y. Zhao, Opt. Commun. 134, 470 (1997).
[CrossRef]

Opt. Lett.

Other

Y. Zhao and S. Fleming, in Advanced Solid-State Lasers, B. Chai and S. Payne, eds., Vol. 24 of OSA Proceedings Series (Optical Society of America, Washington, D.C., 1995), postdeadline paper PD 22.

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Figures (3)

Fig. 1
Fig. 1

Analytical and numerical results for the 1017-nm threshold and the pump overlaps with the fiber core as a function of fiber NA.

Fig. 2
Fig. 2

Numerical calculated pump thresholds and output power as functions of fiber NA when the fiber V value at 835  nm is fixed at 2.4.

Fig. 3
Fig. 3

Experimental results for the conversion efficiency of a blue laser as a function of 1017-nm pump power, together with the theoretically predicted values.

Equations (16)

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ηi=1-exp-2/pi2,
Ψir, θ=1πai2rai0r>ai,
Ψir, θrdrdθ=1.
ai=a1-exp-2/pi21/2.
P1st=Aη1+Bη1η2+Cη1ηs+Dη1η2ηs,
A=Acσ12σ13σ31γ31hν1,
B=σ13σ31Ac2σ23σ121P2γ31γ21hν1hν2,
C=δ2LNtσ31Acσ12γ31hν1,
D=Ac2σ23σ121P2δ2LNtσ31,
Pout=M1+N/η11+Q/η2-Rηs=Pout+-Pout-,
M=νsν2Tδσ31σ23P1P2α10L,
N=Acσ12hν1γ31P1,
Q=Acσ23hν2γ21P2,
R=Acσ23T2hνsγ31,
P1thNA1/NAx,
PoutNANAy,

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