Dual-wavelength temperature measurement method based on long-period fiber bragg grating
A fiber grating and long-period technology, which is applied in the direction of physical/chemical change thermometers, thermometers, measuring devices, etc., can solve the problems of high stability of incident light source, high measurement cost, large measurement error, etc., and reduce the measurement Cost, improvement of measurement accuracy, effect of improvement of measurement accuracy
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[0035] During the actual research, the applicant made the following derivation based on the long-period fiber grating dual-wavelength temperature measurement method:
[0036] 1) According to the standard FBG coupling mode theory, the transmittance can be written as:
[0037]
[0038] In the formula, A represents the transmittance, k=vσ / 2 represents the AC coupling coefficient, v represents the visibility, σ represents the DC coupling coefficient, z represents the length of the H-LPFG, Indicates the DC self-coupling coefficient.
[0039] 2) Specifically:
[0040]
[0041]
[0042] In the formula, Indicates the grating chirp, δ indicates the amount of detuning, Δn eff Indicates the difference in refractive index between the fundamental mode and the m-th cladding mode.
[0043] 3) while σ 11 , σ 22 and σ 21 It can be calculated using overlapping integrals:
[0044]
[0045]
[0046]
[0047] where λ represents the wavelength, Indicates the spatially a...
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