Abstract

In a recent paper, Chen et al. [Opt. Express 17, 3581 (2009)] develop an approach to design invisible cloaks with controllable constitutive parameters by adjusting the constant k in the Helmholtz’s equation. In this comment, we discuss the limitation of the free parameter k in designing cloaks. It is found that the real constant k can be chosen only as limited values in order to avoid the singular material parameters.

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References

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  1. J. Hu, X. Zhou, and G. Hu, “Design method for electromagnetic cloak with arbitrary shapes based on Laplace’s equation,” Opt. Express 17(3), 1308–1320 (2009).
    [CrossRef] [PubMed]
  2. J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312(5781), 1780–1782 (2006).
    [CrossRef] [PubMed]
  3. X. Chen, Y. Fu, and N. Yuan, “Invisible cloak design with controlled constitutive parameters and arbitrary shaped boundaries through Helmholtz’s equation,” Opt. Express 17(5), 3581–3586 (2009).
    [CrossRef] [PubMed]

2009 (2)

2006 (1)

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312(5781), 1780–1782 (2006).
[CrossRef] [PubMed]

Chen, X.

Fu, Y.

Hu, G.

Hu, J.

Pendry, J. B.

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312(5781), 1780–1782 (2006).
[CrossRef] [PubMed]

Schurig, D.

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312(5781), 1780–1782 (2006).
[CrossRef] [PubMed]

Smith, D. R.

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312(5781), 1780–1782 (2006).
[CrossRef] [PubMed]

Yuan, N.

Zhou, X.

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Figures (2)

Fig. 1
Fig. 1

(a) The transformation relation r’(r) for spherical cloaks with r1 = 0.2 and r2 = 0.25 designed by different k in the Helmholtz equation. (b) The radial permittivity ε r of spherical cloaks corresponding to the transformation given in (a).

Fig. 2
Fig. 2

Distribution of electric field near the cloak with different k. The white region denotes the area where the field is beyond the range of the color bar. (a) k = 10 π . (b) k = 30 π . (c) k = 50 π . (d) k = 10 π i . (e) k = 30 π i . (f) k = 50 π i .

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