Author Correction: High-performance vector bending and orientation distinguishing curvature sensor based on asymmetric coupled multi-core fibre

Correction to: Scientific Reports 10.1038/s41598-020-70999-8, published online 20 August 2020

This Article contains an error in the Reference list. The authors omitted the below paper, which is shown as Reference ¹. This should be cited in the Results section as below:

“In the case of the bent MMCF, the fibre elongates/compresses at the circular bend and the local index changes because of stress-optic effect upon bending. The index transformation is given as follows^22,34:”

should read:

“In the case of the bent MMCF, the fibre elongates/compresses at the circular bend and the local index changes because of stress-optic effect upon bending. The index transformation is given as follows^22,1:”

Additionally, Equation 5 contains errors.

$$n^{\prime }(x,y)=n(x,y)\left[1-\frac{n{(x,y)}^{2}x}{2R}\left(P_{12}-\nu \left(P_{11}+P_{12}\right)\right)\right]exp\left(\frac{x}{R}\right)$$

should read:

$$n^{\prime }\left(x,y\right)=n\left(x,y\right)⌊1-\frac{n{\left(x,y\right)}^2}{2R}\left(P_{12}-\left(P_{11}+P_{12}\right)\right)1+\frac{x}{R}⌋$$

Finally, this Article contains an error in the legend of Figure 2:

“(b) Experimental setup. SCLS super continium light source.”

should read:

“(b) Experimental setup. SCLS denotes supercontinuum light source.”