Abstract
The effects of slow variations in radius ρ and core-cladding refractive-index difference Δ along the length of optical fibers are determined by using the ray-path equations. Simple formulas in terms of the averaged properties of ρ and Δ show that, in power-law fibers, pulse dispersion is slightly increased and the magnitude of the induced power loss can be bounded. Results hold for general power-law fibers. Comparison with power-law fibers having exponent variations indicates that changes in profile shape cause larger pulse dispersion but less power loss than do ρ and Δ variations. In arbitrary fibers having the same amount of dopant used to form the profile in every core cross section, variations in ρ and Δ cause no power loss. The relationship between these results and the adiabatic invariant concept is outlined.
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