Analytical and Numerical Aspects of Bragg Fiber Design

Prokopovich, D. V.; Popov, A.; Виноградов, А. В.

doi:10.2528/pierb08031221

Cited by 21 publications

(13 citation statements)

References 9 publications

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“…where G 11 , G 12 , G 21 and G 22 are submatrices of either G PUA in (17) or G RKM in (24). Assume that core mode is incident from z = 0, and no reflection wave exists at z = L. A(L), the transmission amplitude vector at z = L and B(0), the reflection amplitude vector at z = 0 can be expressed as…”

Section: Runge-kutta Methodsmentioning

confidence: 99%

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Numerical Analysis of Apodized Fiber Bragg Gratings Using Coupled Mode Theory

Sun¹,

Liau²,

Kiang³

et al. 2009

PIER

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Abstract-In this paper, the coupled mode theory is used to analyze apodized fiber Bragg gratings (FBGs). Since the profile of gratings varies with the propagation distance, the coupled mode equations (CMEs) of apodized FBGs are solved by the fourth-order Runge-Kutta method (RKM) and piecewise-uniform approach (PUA). We present two discretization techniques of PUA to analyze the apodization profile of gratings. A uniform profile FBG can be expressed as a system

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Section: Runge-kutta Methodsmentioning

confidence: 99%

“…Since the structure of apodized FBGs is more complicated than that of uniform FBGs, there are many methods presented to explore the performance of apodized FBGs [14][15][16][17]. In this paper, we use CMT to analyze apodized FBGs.…”

Section: Introductionmentioning

confidence: 99%

Numerical Analysis of Apodized Fiber Bragg Gratings Using Coupled Mode Theory

Sun¹,

Liau²,

Kiang³

et al. 2009

PIER

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“…More recently Bragg waveguides having unconventional structure and geometry [17,18] have been studied by Prajapati et al using this simple technique. Very recently the analytical and numerical aspects of Bragg fiber designing was estimated by Prokovich et al [19]. Here in our proposed paper we will study a new asymmetrical Bragg Waveguide having six layers shown in Fig.…”

Section: Introductionmentioning

confidence: 99%

Modal Analysis and Dispersion Curves of a Bragg Fiber Having Asymmetric Loop Boundary

Prajapati¹,

Singh²,

Saini³

2008

PIER

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Abstract-An analysis of the modal propagation characteristics of a Bragg fiber having asymmetric loop boundary is made, using a simple matrix method. The boundary condition is replaced by matrix equation and the modal eigen value equation is obtained under weak guidance condition. The computed results are shown in the form of dispersion curves and cutoff frequencies and are compared with the dispersion curves of a standard Bragg fiber having circular core cross section. It is seen that the proposed Bragg fiber with a small number of claddings (two of four) shows comparable or even better performance than the standard Bragg fiber with respect to a few mode-guidance properties. 118Prajapati, Singh, and Saini

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“…We demonstrate that when an appropriate detection method is used, within a wide current range, the measurement can be made independent of the position of the conductor surrounded by the core. In Section 4, we develop an analytical model for the considered sensor, which enables computationally efficient simulations to be carried out [7]. This model is implemented using a time-discretization method so as to determine the non linear dynamic response of the sensor.…”

Section: Introductionmentioning

confidence: 99%

Analytical and Numerical Analyses of a Current Sensor Using Non Linear Effects in a Flexible Magnetic Transducer

Vourch¹,

Joubert²,

Cima³

2009

PIER

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Abstract-A theoretical study and a simulation method are proposed for superparamagnetic current sensors implementing a uniformly wound toroidal core topology. So as to be easy to implement, this sensor topology can be made flexible thanks to the use of a core made up of a superparamagnetic powder embedded in a flexible plastic matrix. The measurement of DC and AC currents is possible provided that a sinusoidal magnetic field excitation is applied to the superparamagnetic transducer. An analytical model is proposed for computing the sensor output signal and we demonstrate that when the detection of the component at the second order harmonic of the excitation frequency is used, the measurement is independent of the conductor position in a given current range. For simulating the dynamic response of the sensor, we propose to combine the analytical model, or a finite elements model, with a time-discretization method. Furthermore, simulations are carried out considering a ring shaped sensor and the real magnetization characteristics of a superparamagnetic material. Simulations are provided over the [−10 kA 10 kA] range and for various amplitudes of the excitation signal. The results obtained with the analytical model, which is computationally efficient, are within 4% to 12.7% from the numerical results.

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Analytical and Numerical Aspects of Bragg Fiber Design

Cited by 21 publications

References 9 publications

Numerical Analysis of Apodized Fiber Bragg Gratings Using Coupled Mode Theory

Numerical Analysis of Apodized Fiber Bragg Gratings Using Coupled Mode Theory

Modal Analysis and Dispersion Curves of a Bragg Fiber Having Asymmetric Loop Boundary

Analytical and Numerical Analyses of a Current Sensor Using Non Linear Effects in a Flexible Magnetic Transducer

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