Journal
JOURNAL OF LIGHTWAVE TECHNOLOGY
Volume 39, Issue 22, Pages 7259-7273Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/JLT.2021.3110505
Keywords
Laser beams; Couplings; Refractive index; Indexes; Optical variables control; Optical refraction; Optical beams; Laguerre-Gaussian beam; graded-index fiber; power coupling coefficient; launch condition
Funding
- Mitacs Elevate Program [IT12564]
- Natural Sciences and Engineering Research Council of Canada Strategic Partnership [494385-2016]
- Fonds de recherche du Quebec -Nature et technologies [282433]
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This paper derives closed-form analytical expressions for power coupling coefficients of Laguerre-Gaussian beams into graded-index fibers, which can be applied to manufactured fibers with index exponent parameters from 1.8 to 2.2, significantly reducing computation time compared to conventional numerical methods.
In this paper, we derive the closed-form analytical expressions of the power coupling coefficients for a Laguerre-Gaussian beam coupled into a graded-index fiber with either central, offset, or tilted launch. We further generalize to an arbitrary launching condition with the radial offset and the three-dimension angular tilt simultaneously occurring. The analytical results are in good agreement with the numerical ones and can be applied to manufactured graded-index multimode fibers with an index exponent parameter from 1.8 to 2.2. Using the derived analytical expressions, the computation time shortens by at least a four-order of magnitude compared to conventional numerical methods.
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