2006
DOI: 10.1364/oe.14.011848
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Analysis of photonic crystal fibers: Scalar solution and polarization correction

Abstract: A numerical approach based on the scalar finite element method is applied to analyse the modal properties of photonic crystal fibers having a solid core and a cladding region with either circular or non-circular microstructured holes. A correction which accounts for the polarization effects due to the large refractive index difference between silica materials and air holes is included in the analysis. Numerical results show that the proposed technique is an efficient and accurate alternative to vector ones.

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Cited by 12 publications
(10 citation statements)
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“…In all our examples, we have taken the solid material to be silica and the refractive-index of silica has been obtained using Sellmeier's coefficients (Fleming 1978). We have first obtained the modal effective index and have compared the accuracy of our results with those obtained using the ESI model (Birks et al 1997) and the scalar FEM (Aristizabel et al 2006). For the ESI model, the core radius is taken as 0.625 (Birks et al 1997).…”
Section: Numerical Examples and Resultsmentioning
confidence: 99%
“…In all our examples, we have taken the solid material to be silica and the refractive-index of silica has been obtained using Sellmeier's coefficients (Fleming 1978). We have first obtained the modal effective index and have compared the accuracy of our results with those obtained using the ESI model (Birks et al 1997) and the scalar FEM (Aristizabel et al 2006). For the ESI model, the core radius is taken as 0.625 (Birks et al 1997).…”
Section: Numerical Examples and Resultsmentioning
confidence: 99%
“…(17) can be solved as an infinite waveguide where the refraction index is supposed constant along the propagation axis ( z -direction). Here, the electric field can be computed by FEM (See more details in [32][33][34]). To calculate the field by FEM, the fiber cross-section is discretized into small elements and Eq.…”
Section: Electromagnetic Modelingmentioning
confidence: 99%
“…The birefringence maps are recovered by means of the elasto-optical theory [28][29][30][31][32]. Using these results, for each value of the external force, in the solution by FEM of the wave equation [33][34][35], the electric field distribution is obtained. All the allowed propagation modes in the SMMF are calculated and vectorially superposed in order to reconstruct the fiber speckle pattern for each stress condition.…”
Section: Introductionmentioning
confidence: 99%
“…10 PCF is endowed with certain properties like nonlinear effects for small mode area, large mode area for creating high-power optical beams, an enormous control over dispersion for variable air-hole diameter (d), and pitch (Λ). 11 Unlike conventional fiber, it is highly adaptable with reference to structural parameters, thus becoming suitable for theoretical modeling. Several numerical techniques have been established to evaluate the guiding properties of PCFs such as finite-difference time-domain method (FDTD), 12,13 finite element method (FEM), 13,14 effective index method (EIM).…”
Section: Introductionmentioning
confidence: 99%