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A rigorous and nonsingular two dimensional cloaking coordinate transformation

Publication ,  Journal Article
Cummer, SA; Liu, R; Cui, TJ
Published in: Journal of Applied Physics
March 24, 2009

We derive an approximate but rigorous two dimensional electromagnetic cloaking shell in which no parameters are singular. The simplicity of the material parameters makes it potentially easier to realize in practice than other cloaking solutions. The analytical formulation of this shell also provides a simple and explicit analytical trade-off between its scatter reduction performance, its thickness relative to the interior size, and the complexity and realization difficulty of the required permittivity and permeability. © 2009 American Institute of Physics.

Duke Scholars

Published In

Journal of Applied Physics

DOI

ISSN

0021-8979

Publication Date

March 24, 2009

Volume

105

Issue

5

Related Subject Headings

  • Applied Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Cummer, S. A., Liu, R., & Cui, T. J. (2009). A rigorous and nonsingular two dimensional cloaking coordinate transformation. Journal of Applied Physics, 105(5). https://doi.org/10.1063/1.3080155
Cummer, S. A., R. Liu, and T. J. Cui. “A rigorous and nonsingular two dimensional cloaking coordinate transformation.” Journal of Applied Physics 105, no. 5 (March 24, 2009). https://doi.org/10.1063/1.3080155.
Cummer SA, Liu R, Cui TJ. A rigorous and nonsingular two dimensional cloaking coordinate transformation. Journal of Applied Physics. 2009 Mar 24;105(5).
Cummer, S. A., et al. “A rigorous and nonsingular two dimensional cloaking coordinate transformation.” Journal of Applied Physics, vol. 105, no. 5, Mar. 2009. Scopus, doi:10.1063/1.3080155.
Cummer SA, Liu R, Cui TJ. A rigorous and nonsingular two dimensional cloaking coordinate transformation. Journal of Applied Physics. 2009 Mar 24;105(5).
Journal cover image

Published In

Journal of Applied Physics

DOI

ISSN

0021-8979

Publication Date

March 24, 2009

Volume

105

Issue

5

Related Subject Headings

  • Applied Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences