Raman amplifier design using geometry compensation technique

Zhaohui Li; Chao Lu; Jian Chen; Chunliu Zhao

doi:10.1364/OPEX.12.000436

Optics Express
Vol. 12,
Issue 3,
pp. 436-441
(2004)
•https://doi.org/10.1364/OPEX.12.000436

Raman amplifier design using geometry compensation technique

Zhaohui Li, Chao Lu, Jian Chen, and Chunliu Zhao

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Zhaohui Li, Chao Lu, Jian Chen, and Chunliu Zhao, "Raman amplifier design using geometry compensation technique," Opt. Express 12, 436-441 (2004)

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Abstract

We propose a simple technique to optimize a multi-wavelength backward-pumped fiber Raman amplifier. Based on the geometric characteristics of Raman gain profile, we approximate it using several straight lines and utilize slope compensation technique to achieve flat and wideband gain profile. Good simulation results are obtained.

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Fig. 1. Asymptotic linear approximation of a typical Raman gain spectrum g_R(Δυ) of a silica fiber at pump wavelength λ₀=1µm

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Fig. 2. Schematic diagram of the geometric compensation scheme (i=2,3,4), with wavelength independent loss considered. S₁, S₂ and S₃ show the partial gain spectral; Δf shows the target amplification band; υ_a1,1, υ_a21, υ_a31 and υ_a32 related to frequency allocation of gain spectra from individual pumps

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Fig. 3. Schematic diagram of the geometric compensation scheme (i=2,3,4), with wavelength dependent loss considered. Triangle: wavelength dependent loss of the fiber; Circle: individual gain spectral

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Fig. 4. example of a C-band Raman amplifier design

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Equations (7)

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G_{k} = \frac{10}{\ln (10)} (- α_{k} L + \sum_{\begin{matrix} j = n + 1 \\ j \neq k \end{matrix}}^{n + m} g_{jk} I_{j} + \sum_{j = 1}^{n} g_{jk} I_{j})

k = n + 1, n + 2, \dots n + m; j = 1, 2, \dots n

I_{1} = \frac{G ⁄ 10 \log (e) + α L}{g (ν_{a_{1, 2}})}

I_{j} = I_{1} \frac{(g (ν_{a_{1, j + 1}}) - g (ν_{a_{1, j + 2}}))}{ν_{a_{1, j + 1}} - ν_{a_{1, j + 2}}} \frac{ν_{a_{j, 1}} - ν_{a_{j, 2}}}{g (ν_{a_{j, 1}}) - g (ν_{a_{j, 2}})}

j = 2 \dots n

I_{j} = \frac{I_{1} (g (ν_{a_{1, j + 1}}) - g (ν_{a_{1, j + 2}})) - (α (ν_{a_{1, j + 1}}) - α (ν_{a_{1, j + 2}}))}{ν_{a_{1, j + 1}} - ν_{a_{1, j + 2}}} \frac{ν_{a_{j, 1}} - ν_{a_{j, 2}}}{g (ν_{a_{j, 1}}) - g (ν_{a_{j, 2}})}

j = 2 \dots n

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Equations (7)

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