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arXiv 1408.4147physics.opticscs.NAmath.CAmath.NA
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基于谱参数幂级数方法分析渐变折射率光纤

Analysis of graded-index optical fibers by the spectral parameter power series method

SEPI, ESIME Zacatenco, Instituto Politécnico Nacional(墨西哥国立理工学院, Zacatenco 高等工业教育学院);Departamento de Matemáticas, CINVESTAV del IPN, Unidad Querétaro(墨西哥国立理工学院下属的研究与高级研究中心,克雷塔罗校区,数学系)

Raul Castillo Perez, Vladislav V. Kravchenko, Sergii M. Torba

AI总结:

本文提出基于谱参数幂级数方法分析渐变折射率光纤的数值方法,通过解析求解特征方程提升计算精度,并分析色散参数。

摘要:

谱参数幂级数(SPPS)方法是一种 recently introduced 技术,用于求解线性微分方程及相关谱问题。本文发展了一种基于SPPS的方法,用于分析渐变折射率光纤。特征方程的解析形式在SPPS中获得,截断级数并考虑近似特征方程给出简单高效的数值方法。与其他技术的比较显示SPPS方法在准确性方面具有明显优势。基于本征值问题的解,还分析了描述色散的参数。

英文摘要:

Spectral parameter power series (SPPS) method is a recently introduced technique for solving linear differential equations and related spectral problems. In the present work we develop an approach based on the SPPS for analysis of graded-index optical fibers. The characteristic equation of the eigenvalue problem for calculation of guided modes is obtained in an analytical form in terms of SPPS. Truncation of the series and consideration in this way of the approximate characteristic equation gives us a simple and efficient numerical method for solving the problem. Comparison with the results obtained by other available techniques reveals clear advantages of the SPPS approach, in particular, with regards to accuracy. Based on the solution of the eigenvalue problem, parameters describing the dispersion are analyzed as well.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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