Design, fabrication, and measurement of an anisotropic holographic metasurface for generating vortex beams carrying orbital angular momentum: erratum

Xiangshuai Meng; Jiaji Wu; Zhensen Wu; Lin Yang; Li Huang; Xi Li; Tan Qu

doi:10.1364/OL.44.002044

In the second page of [1], the formulas (7) and (9) should have been changed to:

\frac{k_{z}}{k} = {- j (Z_{0}^{2} - Z_{x y}^{2} + Z_{x x} Z_{y y}) \pm [- {(Z_{0}^{2} - Z_{x y}^{2} + Z_{x x} Z_{y y})}^{2} + 4 Z_{0}^{2} \times (Z_{y y} \cos^{2} θ_{s} - Z_{x y} \sin 2 θ_{s} + Z_{x x} \sin^{2} θ_{s}) \times {(Z_{x x} \cos^{2} θ_{s} + Z_{x y} \sin 2 θ_{s} + Z_{y y} \sin^{2} θ_{s})]}^{1 / 2}} \times {[2 Z_{0} (Z_{y y} \cos^{2} θ_{s} - Z_{x y} \sin 2 θ_{s} + Z_{x x} \sin^{2} θ_{s})]}^{- 1},

g = (- 3.482 \times 10^{- 7}) Z_{e \max}^{3} + (3.023 \times 10^{- 4}) Z_{e \max}^{2} - 0.092 \times Z_{e \max} + 10.04,

where

θ_{s}

is the direction of the surface wave propagating on the tensor-impedance surface. In addition,

Z_{e \max}

can be calculated from Eq. (7) and the corresponding direction of the surface wave propagating on the tensor-impedance surface of

θ_{e \max}

can be obtained simultaneously.

In the second page of [1], $r$ and $\overset{⇀}{r}$ have not been defined. In addition, the relationship between ${\overset{⇀}{r}}_{m n}$ and $r$ , $\overset{⇀}{r}$ can be given $\overset{⇀}{r} = {\overset{⇀}{r}}_{m n}, r = | \overset{⇀}{r} | = | {\overset{⇀}{r}}_{m n} |$ .

In the third page of [1], “are shown in Figs. 9(a) and 9(d)” should be correctly read “are shown in Figs. 8(a) and 8(d).”

REFERENCE

1. X. Meng, J. Wu, Z. Wu, L. Yang, L. Huang, X. Li, and T. Qu, Opt. Lett. 44, 1452 (2019). [CrossRef]

Design, fabrication, and measurement of an anisotropic holographic metasurface for generating vortex beams carrying orbital angular momentum: erratum

Abstract

REFERENCE

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Equations (2)

Optics Letters