An Efficient Dispersion Calculation Method for Axially Symmetric Optical Fibers

Kim, Jinchae; Kim, Dug Y.

doi:10.1080/014680302753339376

Cited by 4 publications

(8 citation statements)

References 8 publications

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“…Simulations for a range of different refractive index profiles were carried out to test the accuracy and validity of the method. Several examples that have been considered previously in [2,3,6,7,16,18] were used for validation. The analysis of the convergence of the proposed method and comparison of its accuracy with that of other methods is given in Subsection 3.2.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…The calculations were performed on an Intel Pentium (R) CPU 2 GHz. Figure 6 compares the values of waveguide dispersion, D w , as a function of wavelength computed using the present method with those obtained using numerical differentiation of the propagation coefficient in [3] for the same step-index single-mode fiber. The refractive index profile of the fiber is embedded in the graph in Figure 6(a).…”

Section: Convergencementioning

confidence: 99%

“…The refractive index profile of the fiber is embedded in the graph in Figure 6(a). In [3], Bessel functions were used as the basis elements for the Galerkin method. The graphs show that both methods rapidly converge to the exact solution (the line with solid circles [3]).…”

Section: Convergencementioning

confidence: 99%

“…The Galerkin method has also been used as the mode solver for the dispersion analysis of singlemode optical fibers [2,3]. For dispersion analysis, in [3] Bessel functions were used as the basis functions and dispersion was calculated by numerical differentiation of the propagation coefficient.…”

Section: Introductionmentioning

confidence: 99%

“…For dispersion analysis, in [3] Bessel functions were used as the basis functions and dispersion was calculated by numerical differentiation of the propagation coefficient. Sharma and Banerjee [2] employed Laguerre-Gauss polynomials as the basis functions and proposed an approach based on matrix perturbation theory for the calculation of the first and second derivatives of the propagation coefficient.…”

Section: Introductionmentioning

confidence: 99%

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A Rapid Accurate Technique to Calculate the Group Delay, Dispersion and Dispersion Slope of Arbitrary Radial Refractive Index Profile Weakly-Guiding Optical Fibers

Mussina¹,

Selviah²,

Fernández³

et al. 2014

PIER

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Abstract-This paper introduces a new numerical method to calculate the group delay, chromatic dispersion and dispersion slope of weakly-guiding optical fibers with arbitrary radial refractive index profiles. It is based on the analytical differentiation of the propagation coefficient up to the third order. The simulation results are compared to experimental data, with those calculated by other approaches and exact data where possible. Due to the analytical differentiation of the matrix equation, the method is more accurate compared to other approaches, it is also much faster than numerical differentiation as allows avoiding repeated solution of the eigenvalue problem to calculate the derivatives of the propagation coefficient. The precision of the method is limited only by the approximation errors of the mode solver. The Galerkin method with Laguerre-Gauss basis functions is used to determine the propagation coefficients of weakly-guiding structures. The new method enables fiber manufacturers to rapidly design dispersion characteristics of graded index, step index, single-and multiple-clad fibers, as well as few-mode and bend insensitive fibers.

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