Measurement of Brillouin gain coefficient in fluorocarbon liquid

Hang Yuan; Yulei Wang; Zhiwei Lu; Rui Liu; Can Cui

doi:10.3788/COL201614.041902

Journals >Chinese Optics Letters >Volume 14 >Issue 4 >Page 041902 > Article

Chinese Optics Letters
Vol. 14, Issue 4, 041902 (2016)

Measurement of Brillouin gain coefficient in fluorocarbon liquid

Hang Yuan, Yulei Wang^*, Zhiwei Lu^**, Rui Liu, and Can Cui

Author Affiliations

National Key Laboratory of Science and Technology on Tunable Lasers, Harbin Institute of Technology, Harbin 150080, China

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DOI: 10.3788/COL201614.041902 Cite this Article Set citation alerts

Hang Yuan, Yulei Wang, Zhiwei Lu, Rui Liu, Can Cui. Measurement of Brillouin gain coefficient in fluorocarbon liquid[J]. Chinese Optics Letters, 2016, 14(4): 041902 Copy Citation Text

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Abstract

We report the measurements of Brillouin gain coefficients in FC-770, FC-40, FC-43, and FC-70 using a Brillouin oscillator and amplifier system. In contrast to the traditional way, the novel method provides direct measurements of these coefficients with the medium electro-strictive coefficient or with the phonon lifetime absent. Additionally, the Brillouin gain coefficient of FC-70 in this experiment is different from the theoretical work.

I_{S} (z) = I_{S} (0) exp (g_{B} I_{L} L),

(1)

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E_{S} (z) = E_{S} (0) + g_{B} L \iint I_{S} (0) I_{L} d A d t,

(2)

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\frac{E_{S} (z) - E_{S} (0)}{E_{S} (0) E_{L}} = \frac{g_{B} L}{\bar{A} \bar{τ}},

(3)

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\frac{1}{\bar{A}} = \frac{\iint I_{S} (0) I_{L} d A}{\int I_{S} (0) d A \int I_{L} d A},

(4)

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\frac{1}{\bar{τ}} = \frac{\iint I_{S} (0) I_{L} d t}{\int I_{S} (0) d t \int I_{L} d t} .

(5)

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g_{B} = \frac{\bar{A} \bar{τ}}{L} \cdot \frac{E_{S} (z) - E_{S} (0)}{E_{S} (0)} \cdot \frac{1}{E_{L}} .

(6)

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\frac{1}{\bar{τ}} = \frac{\int_{- τ_{L} / 2}^{- τ_{L} / 2} I_{S} (0) I_{L} d t}{\int_{- τ_{L} / 2}^{- τ_{L} / 2} I_{S} (0) d t \int_{- τ_{L} / 2}^{- τ_{L} / 2} I_{L} d t} .

(7)

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g_{B} = \frac{4 π^{2} γ^{2}}{n c V ρ λ^{2} Γ_{B}} \cdot \frac{1}{1 + {(\frac{2 Δ ω}{Γ_{B}})}^{2}},

(8)

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g_{B} = \frac{4 π^{2} γ^{2}}{n c V ρ λ^{2} Γ_{B}} .

(9)

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Hang Yuan, Yulei Wang, Zhiwei Lu, Rui Liu, Can Cui. Measurement of Brillouin gain coefficient in fluorocarbon liquid[J]. Chinese Optics Letters, 2016, 14(4): 041902

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