Analytic Expressions for Orbital Angular Momentum Modal Crosstalk in a Slightly Elliptical Fiber

Analytic Expressions for Orbital Angular Momentum Modal Crosstalk in a Slightly Elliptical Fiber

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Assuming weakly guiding approximation, we examine orbital angular momentum (OAM) mode mixing on crystal beaded candle holder account of ellipticity in a fiber and derive a complete set of analytic expressions for spatial crosstalk, using scalar perturbation theory that incorporates fully the existing degeneracy between a spatial OAM mode and its degenerate partner characterized by a topological charge of opposite sign.These expressions, consequently, include an explicit formula for calculating the 2π walk-off length over which an input OAM mode converts into its degenerate partner, and back into itself.We further explore the applicability of the derived expressions in the presence of spin-orbit interaction.The expressions constitute a useful mathematical tool in the analysis eagles head coach hoodie and design of fibers for spatially-multiplexed mode transmissions.Their utility is demonstrated with application to a few mode and a multimode step-index fiber.