Effectiveness comparison between finite element and plane wave methods in modeling of photonic crystal fibers

Marcin Szpulak; Tadeusz Martynkien; Waclaw Urbanczyk

doi:10.1117/12.568901

22 July 2004 Effectiveness comparison between finite element and plane wave methods in modeling of photonic crystal fibers

Marcin Szpulak, Tadeusz Martynkien, Waclaw Urbanczyk

Author Affiliations +

Proceedings Volume 5484, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments II; (2004) https://doi.org/10.1117/12.568901
Event: Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments II, 2003, Wilga, Poland

Abstract

We present and compare two numerical approaches to analysis of photonic crystal fibers, i.e., finite element method based on triangular elements and Fourier decomposition method. The two methods were employed to determine propagation constants in hexagonal photonic fiber by solving vectorial and scalar wave equations. The results obtained with different methods shows very good agreement. We also demonstrated that coupling coefficients between orthogonally polarized modes in fully vector wave equation are negligible for this type of structure and for this reason they can be disregarded. Such a simplification saves computational time and hardware resources without loosing the precision of calculations. We also compared the efficiency of scalar and vectorial approach in calculations of cut-off wavelength. Our results show that scalar approach is not accurate enough for modeling fibers with large filling factor.

Citation Download Citation

Marcin Szpulak, Tadeusz Martynkien, and Waclaw Urbanczyk "Effectiveness comparison between finite element and plane wave methods in modeling of photonic crystal fibers", Proc. SPIE 5484, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments II, (22 July 2004); https://doi.org/10.1117/12.568901

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