2023
DOI: 10.3390/a16020101
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Comparative Analysis of the Methods for Fiber Bragg Structures Spectrum Modeling

Abstract: The work is dedicated to a comparative analysis of the following methods for fiber Bragg grating (FBG) spectral response modeling. The Layer Sweep (LS) method, which is similar to the common layer peeling algorithm, is based on the reflectance and transmittance determination for the plane waves propagating through layered structures, which results in the solution of a system of linear equations for the transmittance and reflectance of each layer using the sweep method. Another considered method is based on the… Show more

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Cited by 12 publications
(5 citation statements)
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“…6(a) ]. 80 82 This phase jump leads to a narrow spectral notch at the center of the reflection bandwidth of the grating, allowing highly sensitive ultrasonic detection. 83 85 …”
Section: Optical Sensor Technology In Pa Imagingmentioning
confidence: 99%
See 1 more Smart Citation
“…6(a) ]. 80 82 This phase jump leads to a narrow spectral notch at the center of the reflection bandwidth of the grating, allowing highly sensitive ultrasonic detection. 83 85 …”
Section: Optical Sensor Technology In Pa Imagingmentioning
confidence: 99%
“…6(a)]. [80][81][82] This phase jump leads to a narrow spectral notch at the center of the reflection bandwidth of the grating, allowing highly sensitive ultrasonic detection. [83][84][85] The imaging systems based on π-FBG have been successfully applied in PA imaging.…”
Section: Fiber Laser Sensormentioning
confidence: 99%
“…Let us reduce (11) to the lower triangular form and obtain the dependence of the reflection coefficient on the length L of the Fabry-Perot interferometer, determined by solving Equation (8), and the permittivity and permeability of the layers: Let us write down the conditions determining the continuity of propagation in the electric and magnetic waves, which consists of the equality of these fields at each of the boundaries of the medium interfaces at z = 0 and at z = L. We consider that all the radiation that approached the boundary z = 0 entirely falls on it (t 1 = 1), and all the radiation that passed through the boundary z = L is not reflected back (r 3 = 0). We obtain a complete system of four linear equations with respect to four unknown variables r 1 , t 2 , r 2 , t 3 ; the reflection and transmission coefficients are [43]:…”
Section: Mathematical Model Of the Sensormentioning
confidence: 99%
“…A better understanding of the optical breakdown process in the fiber will make it possible to create intrafiber devices with reasonably good repeatability of the characteristics. For example, the article [25] describes methods for modeling the spectrum structure of a Bragg reflector in a fiber. Alternatively, it will improve the signal processing methods in them [26].…”
Section: The Solution Algorithmmentioning
confidence: 99%