On the capacity of M-distributed atmospheric optical channels: erratum

José María Garrido-Balsells; Antonio Jurado-Navas; José Francisco Paris; Miguel Castillo-Vázquez; Antonio Puerta-Notario

doi:10.1364/OL.39.000653

Abstract

Some typing errors detected in Garrido-Balsells et al. [Opt.Lett. 38, 3984 (2013)] are here corrected.

There are some typing errors in a recently published paper by the authors [1] that are corrected here. However, all results and conclusions obtained in that paper are not affected at all, and have been corroborated with numerical simulations.

Eqs. (8) and (9) in [1] should be written, respectively, as

C_{erg} = \frac{A α B {(2 \sqrt{B})}^{α}}{8 π \ln (2)} \sum_{k = 1}^{β} (\begin{matrix} β - 1 \\ k - 1 \end{matrix}) \frac{2^{k}}{Γ (k)} {(\frac{Ω^{'}}{ξ_{g} β})}^{k - 1} \times G_{6, 2}^{1, 6} (16 B^{2} γ_{0} | \begin{matrix} 1, 1, \frac{1 - α}{2}, \frac{2 - α}{2}, \frac{1 - k}{2}, \frac{2 - k}{2} \\ 1, 0 \end{matrix}),

and

C_{erg} = \frac{A^{(G)}}{8 π \ln (2)} {(\frac{4 ξ_{g}}{α})}^{\frac{α}{2}} \sum_{k = 1}^{\infty} a_{k}^{(G)} {(\frac{4 ξ_{g}}{α})}^{\frac{k}{2}} \times G_{6, 2}^{1, 6} ({(\frac{4 ξ_{g}}{α})}^{2} γ_{0} | \begin{matrix} 1, 1, \frac{1 - α}{2}, \frac{2 - α}{2}, \frac{1 - k}{2}, \frac{2 - k}{2} \\ 1, 0 \end{matrix}) .

Reference

1. J. M. Garrido-Balsells, A. Jurado-Navas, J. F. Paris, M. Castillo-Vzquez, and A. Puerta-Notario, Opt. Lett. 38, 3984 (2013).

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C_{erg} = \frac{A α B {(2 \sqrt{B})}^{α}}{8 π \ln (2)} \sum_{k = 1}^{β} (\begin{matrix} β - 1 \\ k - 1 \end{matrix}) \frac{2^{k}}{Γ (k)} {(\frac{Ω^{'}}{ξ_{g} β})}^{k - 1} \times G_{6, 2}^{1, 6} (16 B^{2} γ_{0} | \begin{matrix} 1, 1, \frac{1 - α}{2}, \frac{2 - α}{2}, \frac{1 - k}{2}, \frac{2 - k}{2} \\ 1, 0 \end{matrix}),

C_{erg} = \frac{A^{(G)}}{8 π \ln (2)} {(\frac{4 ξ_{g}}{α})}^{\frac{α}{2}} \sum_{k = 1}^{\infty} a_{k}^{(G)} {(\frac{4 ξ_{g}}{α})}^{\frac{k}{2}} \times G_{6, 2}^{1, 6} ({(\frac{4 ξ_{g}}{α})}^{2} γ_{0} | \begin{matrix} 1, 1, \frac{1 - α}{2}, \frac{2 - α}{2}, \frac{1 - k}{2}, \frac{2 - k}{2} \\ 1, 0 \end{matrix}) .

On the capacity of $M$ -distributed atmospheric optical channels: erratum

Abstract

Reference

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Optics Letters