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Full vectorial BPM modeling of Index-Guiding Photonic Crystal Fibers and Couplers

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Abstract

A 3D full-vectorial Beam Propagation Method is successfully applied to compute both the propagation constants and the modal profiles in high-contrast silica-air index-guiding Photonic Crystal Fibers. The approach is intrinsically suited to investigate longitudinally varying structures or propagation and polarization effects, which are of practical interest for advanced optical applications. As an example we model a dual-core coupler, showing that efficient polarization preserving coupling can be expected.

©2002 Optical Society of America

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Figures (5)

Fig. 1.
Fig. 1. Real part of the transverse profiles of the launched field (the imaginary parts are set to zero). Left frame: fundamental mode excitation. Right frame: upper mode excitation.
Fig. 2.
Fig. 2. Modal effective index vs. normalized frequency ʌ/λ (λ varies from 300 to 1600 nm) for the fundamental mode and the next higher-order one of a PCF with a = 0.6 and ʌ = 2.3 μm. The upper (red) and the lower (blue) curves refer to the fundamental and the higher order modes respectively. The open circles stand for BPM calculations whereas the solid lines show for comparison the data taken from Fig. 3 of Ref. [7].
Fig. 3.
Fig. 3. Moduli of the x, y and z electric field components of the fundamental mode at the output section of the PCF for a normalized frequency ʌ/λ = 5.
Fig. 4.
Fig. 4. Moduli of the x, y and z electric field components of the first upper mode at the output section of the fiber for a normalized frequency ʌ/λ = 5.
Fig. 5.
Fig. 5. Moduli of the x electric field components in the dual-core PCF Coupler for a normalized frequency ʌ/λ = 2.7 overlaid with the investigated coupler geometry. Left: launched field in the starting section. Right: field distribution after a propagation distance of nearly 0.715 mm.
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