Robustness of light-transport processes to bending deformations of graded-index multimode waveguides

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Authors

BOONZAJER FLAES D. E. STOPKA Jan TURTAEV Sergey DE BOER Johannes TYC Tomáš ČIŽMÁR Tomáš

Year of publication 2018
Type Article in Periodical
Magazine / Source Physical Review Letters
MU Faculty or unit

Faculty of Science

Citation
Web https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.120.233901
Doi http://dx.doi.org/10.1103/PhysRevLett.120.233901
Keywords Gradient-index optical fiber; bending; eigenmodes
Description Light transport through a multimode optical waveguide undergoes changes when subjected to bending deformations. We show that optical waveguides with a perfectly parabolic refractive index profile are almost immune to bending, conserving the structure of propagation-invariant modes. Moreover, we show that changes to the transmission matrix of parabolic-index fibers due to bending can be expressed with only two free parameters, regardless of how complex a particular deformation is. We provide detailed analysis of experimentally measured transmission matrices of a commercially available graded-index fiber as well as a gradient-index rod lens featuring a very faithful parabolic refractive index profile. Although parabolic-index fibers with a sufficiently precise refractive index profile are not within our reach, we show that imaging performance with standard commercially available graded-index fibers is significantly less influenced by bending deformations than step-index types under the same conditions. Our work thus predicts that the availability of ultraprecise parabolic-index fibers will make endoscopic applications with flexible probes feasible and free from extremely elaborate computational challenges.
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