Modal cut-off and the V-parameter in photonic crystal fibers

Abstract

We address the long-standing unresolved problem concerning the V-parameter in a photonic crystal fiber (PCF). Formulate the parameter appropriate for a core-defect in a periodic structure we argue that the multi-mode cut-off occurs at a wavelength lambda* which satisfies VPCF(lambda*)=pi. Comparing to numerics and recent cut-off calculations we confirm this result.

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