Coupling at optical frequencies presents challenges to achieving high efficiency, compactness, high fabrication tolerance, and ease of integration in photonic integrated circuits. It involves the transfer of power between different circuit components, the split or combination of power from multiple locations, and (de)multiplexing of signals with varying frequencies. an effective numerical aperture allow a better understanding which other fiber optic components are suitable for the application at hand. In the other case, coupling into single-mode fibers, we have a fundamentally different. In this paper, by adjusting the parameters of the taper angle and curvature radius of the lensed fiber, a simulation model of the optical coupling between the lensed fiber and commercial lasers is established, and the optical coupling efficiency and optical tolerance of the lensed fiber under.
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