Kılıfsız Optik Fiberlerde Bağıl Direnç Değişimi, Gage Faktörü ve Poisson Oranı’nın Basınç Bağımlılıkları

Bu makalede, kılıfsız optik fiber çekirdeğine ait bağıl direnç değişimi, gage faktörü ve Poisson oranının basınç bağımlılıkları prensibine dayalı bir dağınık algılama metodu önerilmiştir. Bu metot kullanılarak, basınç bilgilerinin yanı sıra, basınç ile kılıfsız optik fiber çekirdeğinin bağıl direnç değişimi, gage faktörü ve Poisson oranı arasındaki ilişki incelenmiş ve ardından bu parametrelerin sıcaklık bağımlılıkları matematiksel olarak analiz edilmiş ve ayrıca ilgili benzetimler Matlab R2021b ve Simulink ortamında gerçekleştirilmiştir. Buna ek olarak, bu parametreler ve bu parametrelerin sıcaklık bağımlılıkları arasındaki ilişkileri ifade eden birinci dereceden denklemler, eğri uydurma metodundan yararlanılarak türetilmiştir. Basıncın 2.2 × 107 Pa – 12 × 107 Pa aralığındaki değişimi için fiber çekirdeğine ait bağıl direnç değişimleri 0.41 × 10-3 – 2.13 × 10-3 aralığında elde edilmiştir. Diğer bir ifadeyle, fiber çekirdeğinin bağıl direnç değişiminin basınç bağımlılığı 1.841 × 10-2 Rrc(GPa)-1 olarak ifade edilebilmektedir, yani fiber çekirdeği boyunca meydana gelen 1 GPa değerinde basınç değişimi, Rrc değerinde yaklaşık olarak 0.01841 birimlik değişime neden olmaktadır. Ayrıca, gage faktörünün ve Poisson oranının basınç bağımlılıkları, sırasıyla 2.924 × 10-2 GF(GPa)-1 ve 1.462 × 10-2 σ(GPa)-1 olarak elde edilmiştir.

Anahtar Kelimeler:

Dağınık basınç algılama, Kılıfsız optik fiber, Optik fiber çekirdeğinin bağıl direnç değişimi, Basınç, Gage faktörü, Poisson oranı, Sıcaklık

PRESSURE DEPENDENCIES OF RELATIVE CHANGE IN ELECTRICAL RESISTANCE, GAGE FACTOR AND POISSON’S RATIO IN BARE OPTICAL FIBERS

In this paper, a distributed sensing method relying on the principle of pressure dependencies of relative change in electrical resistance, gage factor and Poisson’s ratio of the bare optical fiber core has been proposed. Using this method, besides the pressure information, relations between pressure and relative change in electrical resistance, gage factor and Poisson’s ratio of the bare optical fiber core have been examined and then the temperature dependencies of these parameters have been mathematically analyzed and matching simulations have also been carried out in Matlab R2021b and Simulink environments. Moreover, first-order equations expressing the relations between these parameters and their temperature dependencies have been derived benefiting from the curve-fitting method. For pressure variations in the range of 2.2 × 107 Pa – 12 × 107 Pa, relative changes in electrical resistance of the fiber core have been obtained in the range of 0.41 × 10-3 – 2.13 × 10-3. In other words, the pressure dependence of relative change in electrical resistance of the fiber core can be expressed as 1.841 × 10-2 Rrc(GPa)-1, i.e. 1 GPa pressure variation occurring along the fiber core causes about 0.01841 unit of Rrc variation. Furthermore, pressure dependencies of the gage factor and Poisson’s ratio have been acquired as 2.924 × 10-2 GF(GPa)-1 and 1.462 × 10-2 σ(GPa)-1, respectively.

Keywords:

Distributed pressure sensing, Bare optical fiber, Relative change in electrical resistance of optical fiber core, Pressure, Gage factor, Poisson’s ratio, Temperature,

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