Correction to: Scientific Reports https://doi.org/10.1038/s41598-019-50465-w, published online 30 September 2019

This Article contains multiple errors in the Reference list.

Reference 8 is incorrectly listed as “Zou, L., Wang, L., Zhao, S. & Chen, H. Turbulence mitigation scheme based on multiple-user detection in an orbitalangular-momentum multiplexed system. Chin. Phys. B. 25, 316–323 (2016)”. The correct reference 8 should read:

“Zou, L., Wang, L., Zhao, S. & Chen, H. Turbulence mitigation scheme based on multiple-user detection in an orbital angular-momentum multiplexed system. Chin. Phys. B. 25, 114215 (2016)”.

Reference 10 is incorrectly cited as “Cochenour, B. M. et al. Multi-gigabit/s underwater optical communication link using orbital angular momentum multiplexing. Opt. Express 24, 9794–9805 (2016)”. The correct reference 10 should read:

“Baghdady, J. et al. Multi-gigabit/s underwater optical communication link using orbital angular momentum multiplexing. Opt. Express 24, 9794–9805 (2016)”.

Reference 12 is incorrectly cited as “Wang, A. et al. Demonstration of data-carrying orbital angular momentum-based underwater wireless optical multicasting link. Opt. Express 25, 28743–28751 (2017)”. The correct reference 12 should read:

“Zhao, Y. et al. Demonstration of data-carrying orbital angular momentum-based underwater wireless optical multicasting link. Opt. Express 25, 28743–28751 (2017)”.

Reference 14 is incorrectly listed as “Karahroudi, M. K. et al. Performance evaluation of perfect optical vortices transmission in an underwater optical communication system. Appl. Opt. 57, 9797 (2018)”. The correct reference 14 should read:

“Karahroudi, M. K. et al. Performance evaluation of perfect optical vortices transmission in an underwater optical communication system. Appl. Opt. 57, 9148–9154 (2018)”.

Additionally, reference 28 is incorrectly listed as “Hu, T., Pan, S., Wang, L. & Zhao, S. Influence of underwater turbulence on channel capacity of orbital angular momentum communication system. Chin. J. Quant. Elect. 35, 499–506 (2018)”. The correct reference 28 should read:

“Hu, T., Pan, S., Wang, L. & Zhao, S. Influence of underwater turbulence on channel capacity of orbital angular momentum communication system (in Chinese). Chin. J. Quant. Elect. 35, 499–506 (2018)”.