Design method for electromagnetic cloak with arbitrary shapes based on Laplace’s equation: erratum

Jin Hu; Xiaoming Zhou; Gengkai Hu

doi:10.1364/OE.17.013070

Abstract

An erratum is presented to correct equations (10a), (11a) and (11b) in [Opt. Express 17, 1308–1320 (2009)].

The corrections of typographical errors of equations (10a), (11a) and (11b) in Ref. [1] should be like the following forms:

λ_{r} = \frac{d r'}{d r} = \frac{(b' - a') r'^{2}}{a' b'^{2}},

ε_{r}^{'} = μ_{r}^{'} = \frac{λ_{r}}{λ_{θ} λ_{ϕ}} = \frac{b'^{2} {(r' - a')}^{2}}{a' r'^{2} (b' - a')},

ε_{θ}^{'} = μ_{θ}^{'} = ε_{ϕ}^{'} = μ_{ϕ}^{'} = \frac{λ_{θ}}{λ_{ϕ} λ_{r}} = \frac{a' b'^{2}}{(b' - a') r'^{2}}

The authors regret this mistake, which does not affect any numerical result presented or conclusions reached in Ref. [1].

References and links

1. J. Hu, X. Zhou, and G. Hu, “Design method for electromagnetic cloak with arbitrary shapes based on Laplace’s equation,” Opt. Express 17, 1308–1320 (2009). [CrossRef] [PubMed]

Previous Article Next Article

Cited By

Optica participates in Crossref's Cited-By Linking service. Citing articles from Optica Publishing Group journals and other participating publishers are listed here.

Alert me when this article is cited.

Equations (3)

Equations on this page are rendered with MathJax. Learn more.

λ_{r} = \frac{d r'}{d r} = \frac{(b' - a') r'^{2}}{a' b'^{2}},

ε_{r}^{'} = μ_{r}^{'} = \frac{λ_{r}}{λ_{θ} λ_{ϕ}} = \frac{b'^{2} {(r' - a')}^{2}}{a' r'^{2} (b' - a')},

ε_{θ}^{'} = μ_{θ}^{'} = ε_{ϕ}^{'} = μ_{ϕ}^{'} = \frac{λ_{θ}}{λ_{ϕ} λ_{r}} = \frac{a' b'^{2}}{(b' - a') r'^{2}}

Abstract

References and links

Cited By

Equations (3)

Optics Express