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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 22, Iss. 3 — Mar. 1, 2005
  • pp: 582–590

Homogeneous upconversion in Er-doped fibers under steady state excitation: analytical model and its Monte Carlo verification

Dmitry Khoptyar, Sergey Sergeyev, and Bozena Jaskorzynska  »View Author Affiliations


JOSA B, Vol. 22, Issue 3, pp. 582-590 (2005)
http://dx.doi.org/10.1364/JOSAB.22.000582


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Abstract

We present an extension to our earlier proposed statistical model [Phys. Rev. B 62, 15628 (2002)] for studying migration-assisted homogeneous upconversion in erbium-doped fibers. The extension takes into account minimum proximity distance between erbium ions randomly distributed in the host material and the nonuniformity of the excitation distribution among them. We derive a transcendental equation for the population inversion and find the dependence of the upconversion rate on the population inversion and the pump power for the entire range of feasible Er concentrations. We verify the validity and accuracy of the model by means of time-resolved Monte Carlo simulations.

© 2005 Optical Society of America

OCIS Codes
(060.2410) Fiber optics and optical communications : Fibers, erbium
(130.3130) Integrated optics : Integrated optics materials
(140.4480) Lasers and laser optics : Optical amplifiers
(160.5690) Materials : Rare-earth-doped materials
(250.4480) Optoelectronics : Optical amplifiers

Citation
Dmitry Khoptyar, Sergey Sergeyev, and Bozena Jaskorzynska, "Homogeneous upconversion in Er-doped fibers under steady state excitation: analytical model and its Monte Carlo verification," J. Opt. Soc. Am. B 22, 582-590 (2005)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-22-3-582


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References

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  18. A few comments should be added to Eq. (3). In the early work on the subject 12 the upconversion contribution was modeled as nk n_k Sigma^N _i not = k P_ki n¯. Such an assumption unavoidably leads to conclusion that for small population inversion upconversion grows as n, which is erroneous. Besides, migration may be expressed in the form symmetrical to the upconversion [the third term in Eq. (3)]: n_k Sigma^N(1-n) _i not = k W_ki + (1-n_k) Sigma^Nn _i not = k W_ki, which does not change the final results of our calculations.
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