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23 November 2020

Correction: Pereyra, P. Photonic Transmittance in Metallic and Left Handed Superlattices. Photonics 2020, 7, 29

Departmento de Ciencias Básicas, Universidad Autónoma Metropolitana, Azcapotzalco, Av. S. Pablo 180, Ciudad de México 02200, Mexico
Photonics2020, 7(4), 115;https://doi.org/10.3390/photonics7040115
Version Notes
Order Reprints
The author wishes to make the following corrections to this paper [1]. On page 4, there are misprints in Equations (4)–(6) and (8). The incorrect equations are:
M c = 1 2 k 1 μ 2 cos θ 1 α l β l β l α l e − p d c + i q d c 0 0 e p d c − i q d c 1 2 κ μ 1 cos ψ α l − β l − β l α l ,
where p = ρ ( ϵ R sin γ + ϵ I cos γ ) , κ = q 2 + k 1 2 sin 2 θ i 1 / 2 and
α l β l β l α l = k 1 μ 2 cos ψ + κ μ 1 cos ψ k 1 μ 2 cos ψ − κ μ 1 cos ψ k 1 μ 2 cos ψ − κ μ 1 cos ψ k 1 μ 2 cos ψ + κ μ 1 cos ψ .
with slab transfer matrix M c
M c = α c β c β c α c .
and unit-cell transfer matrix
M = α β β α * = e i k 1 d a cos θ i α c β c β c e − i k 1 d a cos θ i α c .
The correct equations are
M c = 1 2 k 1 μ 2 cos ψ + 2 ξ α l β l β l * α l * e i ( q + i p ) d c 0 0 e − i ( q − i p ) d c 1 2 κ μ 1 cos θ i α l * − β l − β l * α l ,
where p = ρ ( ϵ R sin γ + ϵ I cos γ ) , κ = q 2 + k 1 2 sin 2 θ i 1 / 2 , ξ = k 1 μ 2 sec θ i tan ψ and
α l = k 1 μ 2 sec θ i + κ μ 1 cos ψ + ξ + i p μ 1 β l = k 1 μ 2 sec θ i − κ μ 1 cos ψ − ξ + i p μ 1 .
with slab transfer matrix M c
M c = α c β c β c * α c * .
and unit-cell transfer matrix
M = α β β * α * = e i k 1 d a cos θ i α c β c β c * e − i k 1 d a cos θ i α c * .
The author confirms that the numerical calculations reported in the paper were done with the correct expressions, therefore the changes do not affect the results. The author apologizes for the inconveniences caused by these misprints.

Reference

  1. Pereyra, P. Photonic Transmittance in Metallic and Left Handed Superlattices. Photonics 2020, 7, 29. [Google Scholar] [CrossRef]
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