Out-of-phase mixed holographic gratings : a quantative analysis: erratum

Martin Fally; Mostafa Ellabban; Irena Drevenšek-Olenik

doi:10.1364/OE.17.023350

Abstract

The two principal equations in [Opt. Express 16, 6528–6536 (2008)] which both contain an error are corrected in this erratum.

Recently we recognized two errors in the principal Eqs. (1) and (2) in Ref. [1], which should read correctly:

η_{\pm 1} (θ) = 2 A (θ) \frac{κ_{1}^{2} + κ_{2}^{2} 2 κ_{1} κ_{2} \sin φ}{z} (\cosh [z^{1 / 2} D \cos ψ] - \cos [z^{1 / 2} D \sin ψ])

η_{0} (θ) = \frac{A (θ)}{2 z} (({z + ϑ}^{2}) \cosh [z^{1 / 2} D \cos ψ] + (z - ϑ^{2}) \cos [z^{1 / 2} D \sin ψ]

We emphasize, that the simulations shown in Figs. 2 and 4 as well as the fits to the data presented in Fig. 3 of Ref. [1] were performed by using the correct equations. Also the conclusions remain unaltered, in particular Eqs. (6) and (7) in the appendix which give the limits of 1 and 2 for φ=π/2.

We are grateful to Martin Fritzenwanker for drawing our attention to these errors.

References and links

1. M. Fally, M. Ellabban, and I. Drevenšek-Olenik, “Out-of-phase mixed holographic gratings : a quantative analysis,” Opt. Express 16(9), 6528–6536 ( 2008). [CrossRef]

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Equations (3)

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η_{\pm 1} (θ) = 2 A (θ) \frac{κ_{1}^{2} + κ_{2}^{2} 2 κ_{1} κ_{2} \sin φ}{z} (\cosh [z^{1 / 2} D \cos ψ] - \cos [z^{1 / 2} D \sin ψ])

η_{0} (θ) = \frac{A (θ)}{2 z} (({z + ϑ}^{2}) \cosh [z^{1 / 2} D \cos ψ] + (z - ϑ^{2}) \cos [z^{1 / 2} D \sin ψ]

+ 2 \frac{\cos φ}{∣ \cos φ ∣} ϑ z^{1 / 2} {\sin ψ \sinh [z^{1 / 2} D \cos ψ] - \cos ψ \sin [z^{1 / 2} D \sin ψ]}) .

Abstract

References and links

Cited By

Equations (3)

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