Modeling of photonic crystal fibers from the scalar wave equation with a purely transverse linearly polarized vector potential

Torres, Pedro; Aristizabal, Victor H.; Andrés, Miguel V.

doi:10.1364/josab.28.000787

Cited by 6 publications

(6 citation statements)

References 26 publications

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“…Primero, para calcular las distribuciones de intensidad del campo eléctrico para una fibra multimodo bajo la aplicación de una línea de carga mecánica (Arístizabal, et al, 2016;Victor H. Aristizabal, et al, 2006), se soluciona numéricamente mediante el método de los elementos finitos la ecuación de onda vectorial para una onda monocromática (V.H. Aristizabal, Vélez, & Torres, 2004Torres, Aristizábal, & Andrés, 2011):…”

Section: Análisis Teóricounclassified

Specklegramas de fibra óptica analizados mediante procesamiento digital de imágenes

Gutiérrez

Castaño

Gómez

et al. 2018

Rev. Acad. Colomb. Cienc. Ex. Fis. Nat.

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Los sensores basados en el análisis de la distribución de intensidades del patrón de interferencia modal a la salida de una fibra óptica son conocidos como sensores ópticos basados en specklegramas de fibra óptica (Fiber Specklegram Sensors, FSSs). En este trabajo se muestran los specklegramas, simulados numéricamente mediante el método de los elementos finitos, de una fibra óptica Thorlabs 1550BHP perturbada mecánicamente, y se hace uso de la información global o de regiones del specklegrama mediante el procesamiento digital de imágenes a través de un análisis de correlación. Los resultados muestran como la correlación entre imágenes se puede usar como valor de cuantificación para la medición de fuerzas, y cómo la división del patrón por zonas de interés puede mejorar las características metrológicas del sensor. © 2018. Acad. Colomb. Cienc. Ex. Fis. Nat.

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Section: Análisis Teóricounclassified

Specklegramas de fibra óptica analizados mediante procesamiento digital de imágenes

Gutiérrez

Castaño

Gómez

et al. 2018

Rev. Acad. Colomb. Cienc. Ex. Fis. Nat.

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“…(17) can be solved as an infinite waveguide where the refraction index is supposed constant along the propagation axis ( z -direction). Here, the electric field can be computed by FEM (See more details in [32][33][34]). To calculate the field by FEM, the fiber cross-section is discretized into small elements and Eq.…”

Section: Electromagnetic Modelingmentioning

confidence: 99%

“…The birefringence maps are recovered by means of the elasto-optical theory [28][29][30][31][32]. Using these results, for each value of the external force, in the solution by FEM of the wave equation [33][34][35], the electric field distribution is obtained. All the allowed propagation modes in the SMMF are calculated and vectorially superposed in order to reconstruct the fiber speckle pattern for each stress condition.…”

Section: Introductionmentioning

confidence: 99%

Numerical modeling of fiber specklegram sensors by using finite element method (FEM)

et al. 2016

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Although experimental advances in the implementation and characterization of fiber speckle sensor have been reported, a suitable model to interpret the speckle-pattern variation under perturbation is desirable but very challenging to be developed due to the various factors influencing the speckle pattern. In this work, a new methodology based on the finite element method (FEM) for modeling and optimizing fiber specklegram sensors (FSSs) is proposed. The numerical method allows computational visualization and quantification, in near field, of changes of a step multi-mode fiber (SMMF) specklegram, due to the application of a uniformly distributed force line (UDFL). In turn, the local modifications of the fiber speckle produce changes in the optical power captured by a step single-mode fiber (SSMF) located just at the output end of the SMMF, causing a filtering effect that explains the operation of the FSSs. For each external force, the stress distribution and the propagations modes supported by the SMMF are calculated numerically by means of FEM. Then, those modes are vectorially superposed to reconstruct each perturbed fiber specklegram. Finally, the performance of the sensing mechanism is evaluated for different radius of the filtering SSMF and force-gauges, what evidences design criteria for these kinds of measuring systems. Results are in agreement with those theoretical and experimental ones previously reported.

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“…Equation (4) can be solved, as a first approximation, as an infinite waveguide, and therefore, the refractive index is supposed as a constant along the propagation axis. In this case, the electric field can be computed by the finite element method (FEM) [6]. To calculate the transversal component of the field by the FEM, it is necessary to discretize the section of the fiber in very small elements and to compute (4) for each element (see Fig.…”

Section: Theoretical Analysismentioning

confidence: 99%

“…Thus, after summing the total power of each element of the discretization, we obtain ∑ ∑ E (6) where e denotes that the sum is over all elements. In our case, we simulated the behavior of a step-index multimode fiber Thorlabs AFS105/125Y by the implementation of the FEM in the software ComsolMultiphysics®, forwavelengths 1310 nm and 1625 nm (see Fig.…”

Section: Theoretical Analysismentioning

confidence: 99%

Effect of wavelength on metrological characteristics of non-holographic fiber specklegram sensor

et al. 2015

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Abstract:In this paper, we report some results about the effects of varying the wavelength in a structure of a non-holographic fiber specklegram sensor. In these arrangements, the speckle pattern produced by a multi-mode optical fiber is coupled to the asingle-mode optical fiber with lower numerical aperture, which produces a filtering effect that can be used as an optical transduction mechanism. The influence of the wavelength on the sensor performance is evaluated by changing the laser wavelength, and a strong effect on the linearity and reproducibility of its response is found. Lasers emitting at 1310 nm, 1550 nm, and 1625 nm are used.

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Modeling of photonic crystal fibers from the scalar wave equation with a purely transverse linearly polarized vector potential

Cited by 6 publications

References 26 publications

Specklegramas de fibra óptica analizados mediante procesamiento digital de imágenes

Specklegramas de fibra óptica analizados mediante procesamiento digital de imágenes

Numerical modeling of fiber specklegram sensors by using finite element method (FEM)

Effect of wavelength on metrological characteristics of non-holographic fiber specklegram sensor

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