Abstract

We provide additional details on the bend perturbation calculation necessitated by labelling errors in Fig. 3(a) of Optica 2, 267 (2015) [CrossRef]  , and provide one citation missing from the original manuscript.

© 2017 Optical Society of America

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References

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  1. P. Gregg, P. Kristensen, and S. Ramachandran, "Conservation of orbital angular momentum in air-core optical fibers," Optica 2, 267–270 (2015).
    [Crossref]
  2. R. Ulrich, S. C. Rashleigh, and W. Eickhoff, "Bending-induced birefringence in single-mode fibers," Opt. Lett. 5, 273–275 (1980).
    [Crossref]
  3. J. N. Blake, H. E. Engan, H. J. Shaw, and B. Y. Kim, "Analysis of intermodal coupling in a two-mode fiber with periodic microbends," Opt. Lett. 12, 281–283 (1987).
    [Crossref]

2015 (1)

1987 (1)

1980 (1)

Blake, J. N.

Eickhoff, W.

Engan, H. E.

Gregg, P.

Kim, B. Y.

Kristensen, P.

Ramachandran, S.

Rashleigh, S. C.

Shaw, H. J.

Ulrich, R.

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Figures (1)

Fig. E1.
Fig. E1.

Coupling coefficient, in dB scale, due to bend perturbations in an air core fiber according to (E3), for multiple bend angles, θ. For each angle, the coefficients rapidly decrease as the Fourier series order increases, in agreement with the intuition that angular momentum should be conserved.

Equations (4)

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ΨL+=σ^+F|L|(r)eiLϕ
ΨL=σ^F|L|(r)eiLϕ.
Δn2(r,ϕ)=ei2πnλ(1χ)rθcosϕ.
k|2L|=ΨL+|Δn2|ΨL=F|L|(r)|J2|L|(2πnλ(1χ)rθ)|F|L|(r).