Principal modes of multimode fibers resisting fiber bending

Multimode fibers (MMFs) have found wide application across various fields, such as optical communications, mode-locked lasers, and endoscopy. However, the practical use of MMFs is limited by the challenges posed by fiber bending, which leads to mode coupling. In this study, we present evidence that MMFs possess principal modes, named curved principal modes, that can resist significant bending. These curved principal modes are identified by extending the Wigner-Smith operator to curved MMFs, and are demonstrated for arbitrary bending by numerical simulations. These findings have substantial implications for mode-divide-multiplexed optical fiber communications, MMF-based endoscopy, and other related applications.