Abstract

The output characteristics of the conventional one-stage Raman fiber laser (RFL) are described in an optical wave turbulence formalism. Simple analytical expressions describing RFL output power and its spectral shape are presented, and square-root law for the output spectrum broadening law has been discovered. The indications of the turbulent-like spectral broadening in other types of cw fiber lasers and propagation phenomena in fibers are also discussed.

© 2008 Optical Society of America

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References

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2007 (4)

2006 (3)

2005 (3)

2003 (1)

J.-C. Bouteiller, IEEE Photon. Technol. Lett. 15, 1698 (2003).
[CrossRef]

2000 (1)

IEEE Photon. Technol. Lett. (2)

J.-C. Bouteiller, IEEE Photon. Technol. Lett. 15, 1698 (2003).
[CrossRef]

J. Hagen, R. Engelbrecht, O. Welzel, A. Siekiera, and B. Schmauss, IEEE Photon. Technol. Lett. 19, 1759 (2007).
[CrossRef]

J. Opt. Soc. Am. B (1)

Opt. Express (3)

Opt. Lett. (5)

Phys. Rev. Lett. (1)

J. D. Ania-Castañón, T. J. Ellingham, R. Ibbotson, X. Chen, L. Zhang, and S. K. Turitsyn, Phys. Rev. Lett. 96, 023902 (2006).
[CrossRef] [PubMed]

Other (2)

V. E. Zakharov, V. S. L'vov, and G. Falkovich, Kolmogorov Spectra of Turbulence I: Wave Turbulence (Springer-Verlag, 1992).

S. A. Babin, E. V. Podivilov, V. Karalekas, V. K. Mezentsev, P. Harper, and S. K. Turitsyn, in Conference on Lasers and Electro-Optics 2007, OSA Technical Digest (CD) (Optical Society of America, 2007), paper QTuH5.

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Figures (3)

Fig. 1
Fig. 1

RFL output spectra measured (thick curve) and calculated from Eq. (2) (thin curve) at 1 W (grey) and 2 W (black) of RFL output power. Inset, spectra measured and calculated at 2.8 W in linear scale.

Fig. 2
Fig. 2

(a) RFL output power measured (dots) and calculated (curve) from Eqs. (3, 4). (b) RFL output spectrum width measured (squares) and calculated from Eq. (2) (solid curve with open circles); dashed curve, square-root spectral broadening law.

Fig. 3
Fig. 3

(a) YDFL output spectrum at output power of 0.25 W (dashed curve) and 7 W (solid curve). (b) Spectrum of multimode radiation before (dashed curve) and after (solid curve) propagation through a long fiber.

Equations (4)

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δ NL = K γ I L ,
I out ( Ω ) = I 2 δ 2 2 δ NL δ 0 + δ 2 Ω 2 cosh [ π Ω δ 2 2 δ NL ] .
P ( I ) = ( α p + λ λ p g R I ) ( δ 0 + δ NL 2 + 2 α L ) 2 g R [ 1 exp ( α p L λ λ p g R L I ) ] ,
I out = I 2 ( δ 0 + δ NL 2 ) .

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