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Proceedings Paper

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

Paper Details

Date Published: 22 July 2004
PDF: 5 pages
Proc. SPIE 5484, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments II, (22 July 2004); doi: 10.1117/12.568901
Show Author Affiliations
Marcin Szpulak, Wroclaw Univ. of Technology (Poland)
Tadeusz Martynkien, Wroclaw Univ. of Technology (Poland)
Waclaw Urbanczyk, Wroclaw Univ. of Technology (Poland)


Published in SPIE Proceedings Vol. 5484:
Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments II
Ryszard S. Romaniuk, Editor(s)

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