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31 January 2014 Novel fiber-optic geometries for fast quantum communication
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Recent experiments have generated great interest in combined wavlength (WDM) and spatial (SDM) divison multiplexing using optical angular momentum (OAM) at data rates orders of magnitude better than current telecommunication standards. We discuss here a class of novel fiber optic devices that induce mode coupling along the optical axis of the fiber by sinusoidally varying the refractive index. Using the analogy between the wave equation for weakly guiding fibers and the paraxial equation, we review fibers that support Laguerre-Gauss modes and, motivated by these works, demonstrate that similar fibers with different core shapes support Hermite-Gauss modes in the same regime. Finally, we utilize these relations to demonstrate how one might generate different orbital angular momentum states using induced coupling between Hermite-Gauss modes, motivated by the works of many previous authors. We further describe a class of devices that could generate either a mode with a defined orbital angular momentum, and support its propagation along a fiber, or create a superposition of modes from a single modal input. Previous efforts focused on the generation of OAM states in a fiber have required extremely exotic refractive index profiles, and we present here a method based on already developed refrative index profiles and manipulation techniques, specifically using fiber bragg gratings to drive modal coupling in a fiber, in an effort to generate states with well defined OAM.
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Jeffrey J. Perkins, Raymond T. Newell, Charles R. Schabacker, and Craig Richardson "Novel fiber-optic geometries for fast quantum communication", Proc. SPIE 8993, Quantum Sensing and Nanophotonic Devices XI, 89930J (31 January 2014);

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