A Mathematical Model for the Interrogation of LPG Fiber Optical Sensors Based on Electrical Harmonic Analysis

Autor: Ricardo M. Ribeiro, Andres P. Lopez-Barbero, Vinicius N. H. Silva, Alexander C. Carneiro, Pressley Xavier Neto, Alexandre Bessa dos Santos
Rok vydání: 2020
Předmět:
Zdroj: IEEE Sensors Journal. 20:4237-4244
ISSN: 2379-9153
1530-437X
DOI: 10.1109/jsen.2019.2963275
Popis: This paper presents a mathematical model for the interrogation of long period grating (LPG) fiber optical sensor. The mathematical model is simple and robust, and it is based on an electrical harmonic analysis. The model calculates the harmonic amplitude equations in the electrical domain of a wavelength modulated optical signal as a function of all the spectral parameters of the LPG. In addition, this model takes into account any distortions that might have been introduced by the wavelength modulator and by any other source of distortion. The harmonic amplitude equations are obtained by expanding the demodulated signal in Taylor Series and by taking the Gaussian shape of the LPG absorption spectra into consideration. To validate the model, we implemented a simple interrogation setup to compare the measured electrical harmonic amplitudes with those obtained using the calculated harmonic amplitude equations. A dynamic range of 25 nm was achieved by shifting the resonant wavelength of the LPG with an accuracy better than 1 dB.
Databáze: OpenAIRE