Numerical Analysis of Apodized Fiber Bragg Gratings Using Coupled Mode Theory

Sun, Nai–Hsiang; Liau, Jiun-Jie; Kiang, Yean‐Woei; Lin, Shih-Chiang; Ro, Ruyen; Chiang, Jung-Sheng; Chang, Hung‐Wen

doi:10.2528/pier09102704

Cited by 35 publications

(19 citation statements)

References 20 publications

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“…For a DC-PCF with a length (z), suppose that the power of the injected light on the input side of the fiber core-A and the fiber core-B is 1 and 0, respectively. According to the conventional coupled-mode theory [69][70][71][72][73], the output power on the output side of the fiber core-A and the fiber core-B of the DC-PCF Output spectra (from fiber core-B) of the 10-cm DC-PCF when the (x-) bending curvature is 0, 4, 7, 10, and 12 m −1 , respectively.…”

Section: Structure Principle and Performancementioning

confidence: 99%

Bending Analysis of a Dual-Core Photonic Crystal Fiber

Chen¹,

Hu²,

Liu

et al. 2011

PIER

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Abstract-A dual-core photonic crystal fiber (DC-PCF) is proposed, and bending characteristics of the DC-PCF are investigated. Two fiber cores are employed in the cross-section of the DC-PCF, which result in a mode coupling between the two fiber cores when the light propagates inside the DC-PCF. The mode coupling between two fiber cores of the DC-PCF is sensitive to the directional bending of the DC-PCF which essentially provides a method to achieve bending sensing. A DC-PCF-based bending sensor is proposed by injecting a broadband light into one fiber core of the DC-PCF on one side and detecting output spectrum from another fiber core of the DC-PCF on the other side. In our simulations, a parabola curve which shows the relationship between the wavelength shift of the transmission spectrum of the DC-PCF-based bending sensor and the bending curvature of the DC-PCF is presented.

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Section: Structure Principle and Performancementioning

confidence: 99%

Bending Analysis of a Dual-Core Photonic Crystal Fiber

Chen¹,

Hu²,

Liu

et al. 2011

PIER

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“…One of the most predictive and popular theories to calculate the efficiency of the orders that propagate inside a diffraction grating [32,33] is the Kogelnik's Coupled Wave Theory [1,34,35]. The analytical expressions obtained with Kogelnik's Theory predict the response of the efficiency of the zeros and first order for volume phase gratings, for both reflection and transmission gratings.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Reflection Gratings by Means of a Matrix Method Approach

Francés

Neipp²,

Márquez³

et al. 2011

PIER

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Abstract-In this work, a matrix method is applied to study the propagation of electromagnetic waves inside a non-slanted reflection grating. The elements of the matrix which characterizes the periodic medium are obtained in terms of Mathieu functions and their derivatives, and the expressions of the efficiencies of reflected and transmitted orders are calculated in terms of the elements of the matrix. In addition the band structure of a general reflection grating is studied with the layer matrix of one single period. The results obtained by this matrix method are firstly compared to the results obtained by Kogelnik's expressions in index-matched media showing good agreement. The comparison is also made for a reflection grating embedded in two media with different refractive indexes, showing good agreement with an FDTD method, but slight differences with respect to Kogelnik's Coupled Wave Theory.

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“…The widely established approach for the simulation of waveguide devices and grating assisted coupled waveguide devices is the coupled mode theory (CMT), which combines a deep insight into the problem together with a much greater computational simplicity than other numerical methods such as Finite Difference (FD), Finite Element (FE), and Beam Propagation Methods (BPM). There are a number of different coupled mode formulations which have been developed from the early 1980s until today [13][14][15][16][17][18][19][20][21]. There are two main representative formulations, the orthogonal CMT and rigorous non-orthogonal CMT.…”

Section: Introductionmentioning

confidence: 99%

A Complete Analytical Analysis and Modeling of Few Mode Non-Uniform Fiber Bragg Grating Assisted Sensing Waveguide Devices

Raghuwanshi¹,

Panda²

2014

PIER M

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Abstract-In this paper, we develop and present a complete analytical method to analyze the spectral response of a non-uniform multimode fiber Bragg grating assisted devices supporting a few modes. We present the analytical solution while taking into account the two forward and two backward propagating even or odd normal modes of the grating using the matrix method of multimode coupled grating assisted coupler, for sensing application. Earlier, these types of numerical technique based analysis were presented by other researchers, but no one seems to present a complete analytical solution for the given case. The present analytical analysis can simulate a single mode to multimode coupled sensing waveguide devices based on non-uniform grating assisted operation in a coupled structure. The potential applications of our findings will be mostly in sensing devices.

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Numerical Analysis of Apodized Fiber Bragg Gratings Using Coupled Mode Theory

Cited by 35 publications

References 20 publications

Bending Analysis of a Dual-Core Photonic Crystal Fiber

Bending Analysis of a Dual-Core Photonic Crystal Fiber

Analysis of Reflection Gratings by Means of a Matrix Method Approach

A Complete Analytical Analysis and Modeling of Few Mode Non-Uniform Fiber Bragg Grating Assisted Sensing Waveguide Devices

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