A one-dimensional model is presented to explain the physics of solid core photonic crystal fibers. The model provides a clear way to demonstrate many of the interesting characteristics of these fibers: variation of cladding index with wavelength, endlessly single-mode operation, short wavelength index limit, long wavelength index limit, and variation of these properties with the air/silica fraction. The effective index is calculated for a laminar cladding consisting of periodic layers of alternating high and low index dielectrics. The waveguide model consists of the same periodic layers surrounding a high-index core through which most of the light propagates. The light is confined by total internal reflection. The model is shown to be an accurate analogue for a more complicated two-dimensional finned dielectric waveguide.
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