Improved Ritz‐Galerkin method for field distribution of graded‐index optical fibers

Wang, Zi Hua; Zhang, Hui; Meunier, J.-P.

doi:10.1002/mop.10941

Micro & Optical Tech Letters

2003

DOI: 10.1002/mop.10941

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Improved Ritz‐Galerkin method for field distribution of graded‐index optical fibers

Zi Hua Wang

Hui Zhang

J.-P. Meunier

Abstract: Having obtained the eigenvalue and the modal field by using the Ritz-Galerkin method, we quit the cladding-field expression in the form of a Laguerre-Gaussian function and reconstruct it with a modified Bessel function. The accuracy of the cladding field is thus improved.We also show its application to the calculation of the coupling coefficient.

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2014

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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.

show abstract

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

View full text Add to dashboard Cite

show abstract

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Improved Ritz‐Galerkin method for field distribution of graded‐index optical fibers

Cited by 1 publication

References 19 publications

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

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

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