Abstract

We provide new expressions for equations that were incorrectly presented in a recent paper [Opt. Express 18, 656 (2010)].

© 2010 Optical Society of America

In our recent paper [1], we described in Eq. (3) a defocus phase function S(ρ) that included two constants M and N. The expressions for the constants, as presented in Eqs. (4) and (5) were incorrect. The correct expressions are:

M=23n22NA2[1(1NA2n22)32],
N=(1M212NA2n22)12.

The modified spherical aberration function Φ^ SA is then obtained as:

Φ̂SA(ρ)=ΦSA(ρ)xS(ρ)

where x is chosen to minimise the RMS value of Φ^ SA. We note that the other results presented in the paper were not affected by this editing error.

References and links

1. A. Jesacher, G. D. Marshall, T. Wilson, and M. J. Booth, “Adaptive optics for direct laser writing with plasma emission aberration sensing,” Opt. Express 18, 656–661 (2010). [CrossRef]   [PubMed]  

References

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  1. A. Jesacher, G. D. Marshall, T. Wilson, and M. J. Booth, “Adaptive optics for direct laser writing with plasma emission aberration sensing,” Opt. Express 18, 656–661 (2010).
    [CrossRef] [PubMed]

2010 (1)

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Equations (3)

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M = 2 3 n 2 2 NA 2 [ 1 ( 1 NA 2 n 2 2 ) 3 2 ] ,
N = ( 1 M 2 1 2 NA 2 n 2 2 ) 1 2 .
Φ ̂ SA ( ρ ) = Φ SA ( ρ ) x S ( ρ )

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