Development of Mathematical and Computer Models of Fiber-optic Sensors, Based on Periodic Bragg Structures

In the article there have been considered the issues of mathematical and computer modeling of fiber Bragg granting’s, using the method of transfer matrix. Method of transfer matrix allows specify the spectral characteristics of optical components, based on theory of bound modes and matrix description of electromagnetic wave, passing through optic fiber. There have been analyzed fiber Bragg granting’s with different lengths in accordance with spectral characteristics, such as, transmittance and reflection spectra. As well, there was carried out the experiment with influence of various parameters at fiber Bragg granting’s spectral characteristics. Fiber Bragg granting’s spectral characteristics were studied and optimal grating parameters were selected for developing the fiber-optic sensors, based on fiber Bragg granting’s. Developed and studied a computer model of flow-diagram of communication modes theory and Transfer Matrix Method. From the studied model it might be noticed, that in MATLAB software, selected for modeling, were formed for implementation into the MATLAB code. As well, in MATLAB software there were used fiber Bragg granting’s principal features and selected for studying influence of external factors, such as deformation, strain and temperature at FBG sensor’s reflection spectrum.