Orbital Angular Momentum (OAM) Mode Mixing in a Bent Step Index Fiber in Perturbation Theory
Within the framework of perturbation theory, we explore in detail the mixing of orbital angular momentum (OAM) modes due to a fiber bend in a step-index multimode fiber. Using a scalar wave equation, we develop a complete set of analytic expressions for mode-mixing, including those for the <inlin...
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IEEE
2019-01-01
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| Online Access: | https://ieeexplore.ieee.org/document/8726107/ |
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| author | Ramesh Bhandari |
| author_facet | Ramesh Bhandari |
| author_sort | Ramesh Bhandari |
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| description | Within the framework of perturbation theory, we explore in detail the mixing of orbital angular momentum (OAM) modes due to a fiber bend in a step-index multimode fiber. Using a scalar wave equation, we develop a complete set of analytic expressions for mode-mixing, including those for the <inline-formula><tex-math notation="LaTeX">$2\pi$</tex-math></inline-formula> walk-off length, which is the distance traveled within the bent fiber before an OAM mode transforms into its negative topological charge counterpart, and back into itself. The derived results provide insight into the nature of the bend effects, clearly revealing the mathematical dependence on the bend radius and the topological charge. We numerically simulate the theoretical results with applications to a few-mode fiber and a multimode fiber, and calculate bend-induced modal crosstalk with implications for mode-multiplexed systems. The presented perturbation technique is general enough to be applicable to other perturbations like ellipticity and easily extendable to other fibers with step-index-like profile as in the ring fiber. |
| format | Article |
| id | doaj-art-d3adb6785c5b4520a454256d5e2aabb2 |
| institution | Matheson Library |
| issn | 1943-0655 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Photonics Journal |
| spelling | doaj-art-d3adb6785c5b4520a454256d5e2aabb22025-07-01T23:47:01ZengIEEEIEEE Photonics Journal1943-06552019-01-0111312110.1109/JPHOT.2019.29200978726107Orbital Angular Momentum (OAM) Mode Mixing in a Bent Step Index Fiber in Perturbation TheoryRamesh Bhandari0https://orcid.org/0000-0002-0930-0777Laboratory for Physical Sciences, College Park, MD, USAWithin the framework of perturbation theory, we explore in detail the mixing of orbital angular momentum (OAM) modes due to a fiber bend in a step-index multimode fiber. Using a scalar wave equation, we develop a complete set of analytic expressions for mode-mixing, including those for the <inline-formula><tex-math notation="LaTeX">$2\pi$</tex-math></inline-formula> walk-off length, which is the distance traveled within the bent fiber before an OAM mode transforms into its negative topological charge counterpart, and back into itself. The derived results provide insight into the nature of the bend effects, clearly revealing the mathematical dependence on the bend radius and the topological charge. We numerically simulate the theoretical results with applications to a few-mode fiber and a multimode fiber, and calculate bend-induced modal crosstalk with implications for mode-multiplexed systems. The presented perturbation technique is general enough to be applicable to other perturbations like ellipticity and easily extendable to other fibers with step-index-like profile as in the ring fiber.https://ieeexplore.ieee.org/document/8726107/Crosstalkfiber bendfiber opticsmode mixingmultiplexingorbital angular momentum |
| spellingShingle | Ramesh Bhandari Orbital Angular Momentum (OAM) Mode Mixing in a Bent Step Index Fiber in Perturbation Theory IEEE Photonics Journal Crosstalk fiber bend fiber optics mode mixing multiplexing orbital angular momentum |
| title | Orbital Angular Momentum (OAM) Mode Mixing in a Bent Step Index Fiber in Perturbation Theory |
| title_full | Orbital Angular Momentum (OAM) Mode Mixing in a Bent Step Index Fiber in Perturbation Theory |
| title_fullStr | Orbital Angular Momentum (OAM) Mode Mixing in a Bent Step Index Fiber in Perturbation Theory |
| title_full_unstemmed | Orbital Angular Momentum (OAM) Mode Mixing in a Bent Step Index Fiber in Perturbation Theory |
| title_short | Orbital Angular Momentum (OAM) Mode Mixing in a Bent Step Index Fiber in Perturbation Theory |
| title_sort | orbital angular momentum oam mode mixing in a bent step index fiber in perturbation theory |
| topic | Crosstalk fiber bend fiber optics mode mixing multiplexing orbital angular momentum |
| url | https://ieeexplore.ieee.org/document/8726107/ |
| work_keys_str_mv | AT rameshbhandari orbitalangularmomentumoammodemixinginabentstepindexfiberinperturbationtheory |