Fiber in-line Fabry–P&#233;rot interferometer for simultaneous measurement of reflective index and temperature

Xiaoqi Ni; Ming Wang; Dongmei Guo

doi:10.3788/COL201614.050601

Journals >Chinese Optics Letters >Volume 14 >Issue 5 >Page 050601 > Article

Chinese Optics Letters
Vol. 14, Issue 5, 050601 (2016)

Fiber in-line Fabry–Pérot interferometer for simultaneous measurement of reflective index and temperature

Xiaoqi Ni, Ming Wang^*, and Dongmei Guo

Author Affiliations

Jiangsu Key Laboratory on Opto-Electronic Technology, School of Physical Science and Technology, Nanjing Normal University, Nanjing 210023, China

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DOI: 10.3788/COL201614.050601 Cite this Article Set citation alerts

Xiaoqi Ni, Ming Wang, Dongmei Guo. Fiber in-line Fabry–Pérot interferometer for simultaneous measurement of reflective index and temperature[J]. Chinese Optics Letters, 2016, 14(5): 050601 Copy Citation Text

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Abstract

A fiber in-line Fabry–Pérot interferometer is presented. The sensing head consists of a micro ellipsoidal air cavity and a small section of solid-core photonic crystal fiber. The reflective index (RI) and temperature can be interrogated simultaneously through a fast Fourier transform and by tracing the dip wavelength shift of the reflective spectrum. Experimental results show that the RI amplitude and wavelength sensitivities are 5.30/RIU and

8.46 \times 10^{1} nm / RIU

in the range from 1.34 to 1.43, and the temperature amplitude and wavelength sensitivities are

6.8 \times 10^{4} / ° C

and

2.48 \times 10^{3} nm / ° C

in the range from 15°C to 75°C, respectively. Easy fabrication, a simple system, and simultaneous measurement make it appropriate for dual-parameter sensing application.

L = \frac{λ_{1} λ_{2}}{2 n (λ_{2} - λ_{1})},

(1)

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R (λ) = {| E_{r} / E_{i} |}^{2} = R_{1} + {(1 - α)}^{2} {(1 - R_{1})}^{2} R_{2} + {(1 - α)}^{2} {(1 - γ)}^{2} {(1 - R_{1})}^{2} {(1 - R_{2})}^{2} R_{3} - 2 \sqrt{R_{1} R_{2}} (1 - α) (1 - R_{1}) \cos (4 π L_{1} / λ) - 2 \sqrt{R_{1} R_{3}} (1 - α) (1 - γ) (1 - R_{1}) (1 - R_{2}) \cos [4 π (L_{1} + n_{0} L_{2}) / λ)] + 2 \sqrt{R_{2} R_{3}} {(1 - α)}^{2} (1 - γ) {(1 - R_{1})}^{2} (1 - R_{2}) \cos (4 π n_{0} L_{2} / λ),

(2)

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Δ λ_{dip} = K_{λ, T} Δ T + K_{λ, RI} Δ RI,

(3)

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Δ P = K_{P, T} Δ T + K_{P, RI} Δ RI,

(4)

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[\begin{array}{l} Δ λ_{dip} \\ Δ P \end{array}] = [\begin{matrix} K_{λ, T} & K_{λ, RI} \\ K_{P, T} & K_{P, RI} \end{matrix}] [\begin{array}{l} Δ T \\ Δ RI \end{array}] .

(5)

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[\begin{array}{l} Δ T \\ Δ RI \end{array}] = \frac{1}{D} [\begin{matrix} K_{P, RI} & - K_{λ, RI} \\ - K_{P, T} & K_{λ, T} \end{matrix}] [\begin{array}{l} Δ λ_{dip} \\ Δ P \end{array}],

(6)

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[\begin{array}{l} Δ λ_{dip} \\ Δ P \end{array}] = [\begin{matrix} 2.48 \times 10^{- 3} & 8.46 \times 10^{- 1} \\ 6.80 \times 10^{- 4} & 5.30 \end{matrix}] [\begin{array}{l} Δ T \\ Δ RI \end{array}] .

(7)

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[\begin{array}{l} Δ T \\ Δ RI \end{array}] = [\begin{matrix} 4.05 \times 10^{2} & - 6.55 \times 10^{- 4} \\ - 5.25 \times 10^{- 3} & 2.00 \times 10^{- 6} \end{matrix}] [\begin{array}{l} Δ λ_{dip} \\ Δ P \end{array}] .

(8)

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Xiaoqi Ni, Ming Wang, Dongmei Guo. Fiber in-line Fabry–Pérot interferometer for simultaneous measurement of reflective index and temperature[J]. Chinese Optics Letters, 2016, 14(5): 050601

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