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Solution of the fundamental space-filling mode of photonic crystal fibers: numerical method versus analytical approaches

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Abstract

The accuracy of the solution of the fundamental space-filling mode of photonic crystal fibers by scalar and vectorial analytical approaches and its effect on the effective index models are investigated. Using a plane wave method as a benchmark, we show that the optimal choice of the radius of the equivalent circular unit cell used in the approximations is different for the two approaches and this value has a great effect on the accuracy of the solution of the fundamental space-filling mode. We also show that the vectorial approach with a properly defined value of the radius is highly accurate over a wide parameter range, whereas the scalar approach causes the main error in the scalar effective index model. We also confirm that a fully vectorial effective index model is accurate and efficient in the case of photonic crystal fibers with large air filling fractions.

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Authors and Affiliations

  1. Ultrafast Laser Laboratory, College of Precision Instrument and Optoelectronics Engineering, Key Laboratory of Optoelectronic Information and Technical Science, Tianjin University, Tianjin, 300072, P.R. China

    Y. Li, C. Wang, Y. Chen, M. Hu, B. Liu & L. Chai

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  1. Y. Li
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  2. C. Wang
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  3. Y. Chen
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  4. M. Hu
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  5. B. Liu
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  6. L. Chai
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Correspondence to Y. Li.

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PACS

42.25.Bs; 42.70.Qs; 42.81.Qb

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Li, Y., Wang, C., Chen, Y. et al. Solution of the fundamental space-filling mode of photonic crystal fibers: numerical method versus analytical approaches. Appl. Phys. B 85, 597–601 (2006). https://doi.org/10.1007/s00340-006-2246-6

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  • DOI: https://doi.org/10.1007/s00340-006-2246-6

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