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Long wavelength behavior of the fundamental mode in microstructured optical fibers

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Using a novel computational method, the fundamental mode in index-guided microstructured optical fibers with genuinely infinite cladding is studied. It is shown that this mode has no cut-off, although its area grows rapidly when the wavelength crosses a transition region. The results are compared with those for w-fibers, for which qualitatively similar results are obtained.

©2005 Optical Society of America

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Figures (3)

Fig. 1.
Fig. 1. Parameter U versus V for (a) MOF with parameters given in the text. Solid curve refers to a structure with infinite cladding. The three closed circles correspond to wavelengths λ=0.25Λ, 0.15Λ and 0.05Λ from left to right. The open circles correspond to the wavelengths indicated. The long (short)-dashed curve is the equivalent result for a MOF with a finite cross section with five (three) rings of holes. Dotted curve, included for convenience, gives U=V. (b) Same as (a) but for a conventional geometry with parameters given in the text. The points indicated by the circles in (a) have no equivalent here.
Fig. 2.
Fig. 2. Axial Poynting vector for a MOF with finite cross section with three rings of holes (top row), and an infinite cross section (bottom row), for V=1.55 (λ/Λ=0.133), V=1.23 (λ/Λ=0.50), V=0.79 (λ/Λ=1.1), and V=0.58 (λ/Λ=1.6) for the first, second, third and fourth columns, respectively. The small circles indicate the air holes.
Fig. 3.
Fig. 3. Axial Poynting vector for a w-fiber (top row), and a step-index fiber with infinite cladding (bottom row), for V=1.55,1.23,0.79,0.58 for the first, second, third and fourth column, respectively. The cladding’s inner and outer edges are indicated by white circles.

Equations (3)

Equations on this page are rendered with MathJax. Learn more.

V 2 π λ ρ n co 2 n cl 2 = 2 π λ Λ 3 n b 2 n fsm 2 ,
U 2 π λ ρ n co 2 n eff 2 = 2 π λ Λ 3 n b 2 n eff 2 ,
( K 0 ( k r 1 2 ) K 0 ( k ρ ) ) 2 = 0.5 ,


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