Theoretical study of stimulated Raman scattering in long tapered fiber amplifier

Chen Shi; Xiaolin Wang; Pu Zhou; Xiaojun Xu

doi:10.3788/COL201715.110605

Journals >Chinese Optics Letters >Volume 15 >Issue 11 >Page 110605 > Article

Chinese Optics Letters
Vol. 15, Issue 11, 110605 (2017)

Theoretical study of stimulated Raman scattering in long tapered fiber amplifier

Chen Shi¹, Xiaolin Wang^{1、2、3、*}, Pu Zhou^1、2、3, and Xiaojun Xu^1、2、3

Author Affiliations

¹College of Optoelectronic Science and Engineering, National University of Defense Technology, Changsha 410073, China

²Hunan Provincial Key Laboratory of High Energy Laser Technology, Changsha 410073, China

³Hunan Provincial Collaborative Innovation Center of High Power Fiber Laser, Changsha 410073, China

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DOI: 10.3788/COL201715.110605 Cite this Article Set citation alerts

Chen Shi, Xiaolin Wang, Pu Zhou, Xiaojun Xu. Theoretical study of stimulated Raman scattering in long tapered fiber amplifier[J]. Chinese Optics Letters, 2017, 15(11): 110605 Copy Citation Text

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Abstract

A model that is based on the propagation equation and coupled mode theory is introduced in order to describe stimulated Raman scattering (SRS) effects in long tapered fiber amplifiers. Based on the presented model, fiber amplifiers with uniform and long tapered fibers are theoretically and numerically simulated. It can be drawn from the results of our simulations that the long tapered fiber has the advantage in suppressing SRS when applied in fiber laser amplifiers. Our results can provide guidance in the designing of system configuration in long tapered-fiber-based fiber laser systems.

\frac{\partial b_{j}^{λ_{p}}}{\partial z} - i β_{j}^{λ_{q}} b_{j}^{λ_{p}} = \frac{b_{j}^{λ_{p}}}{2} \sum_{p \neq q, j, k} \frac{b_{k}^{λ_{q}}}{A_{eff}^{(j, k, p, q)}} g_{R} (ω_{p} - ω_{q}),

(1)

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A_{eff}^{(j, k, p, q)} = \frac{〈 {| ψ_{j}^{λ_{p}} |}^{2} 〉 \cdot 〈 {| ψ_{k}^{λ_{q}} |}^{2} 〉}{〈 {| ψ_{j}^{λ_{p}} |}^{2} \cdot {| ψ_{k}^{λ_{q}} |}^{2} 〉},

(2)

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g_{R} (Δ ω) = \frac{4}{3} γ f_{R} Im [{\tilde{h}}_{R} (Δ ω)],

(3)

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{\tilde{h}}_{R} (Δ ω) = \frac{1}{2 i} \frac{τ_{1}^{2} + τ_{2}^{2}}{τ_{1} τ_{2}^{2}} {\frac{1}{(1 / τ_{2}) - i [Δ ω + (1 / τ_{1})]} - \frac{1}{(1 / τ_{2}) - i [Δ ω - (1 / τ_{1})]}},

(4)

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\frac{d b_{j}}{d z} - (i β_{j} + g_{j} - α_{j}) b_{j} = C_{j}^{I} + i C_{j}^{I I},

(5)

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\frac{\partial b_{j}^{λ_{p}}}{\partial z} - (i β_{j}^{λ_{q}} + \frac{1}{2} g_{j}^{λ_{p}} - \frac{1}{2} α_{j}^{λ_{p}}) b_{j}^{λ_{p}} = C_{j}^{I, λ_{p}} + i C_{j}^{I I, λ_{p}} + \frac{b_{j}^{λ_{p}}}{2} \sum_{p \neq q, j, k} \frac{{| b_{k}^{λ_{q}} |}^{2}}{A_{eff}^{(j, k, p, q)}} g_{R} (ω_{p} - ω_{q}) .

(6)

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b_{0} = (R_{2} - R_{1}) / L .

(7)

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R (z) = (b_{0} - b) / L \cdot z^{2} + b \cdot z + R_{1} .

(8)

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Chen Shi, Xiaolin Wang, Pu Zhou, Xiaojun Xu. Theoretical study of stimulated Raman scattering in long tapered fiber amplifier[J]. Chinese Optics Letters, 2017, 15(11): 110605

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