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Cross-section comparisons of cloaks designed by transformation optical and optical conformal mapping approaches

Publication ,  Journal Article
Urzhumov, YA; Kundtz, NB; Smith, DR; Pendry, JB
Published in: Journal of Optics
January 1, 2011

We review several approaches to optical invisibility designed using transformation optics (TO) and optical conformal mapping (CM) techniques. TO is a general framework for solving inverse scattering problems based on mimicking spatial coordinate transformations with distributions of material properties. There are two essential steps in the design of TO media: first, a coordinate transformation that achieves some desired functionality, resulting in a continuous spatial distribution of constitutive parameters that are generally anisotropic; and, second, the reduction of the derived continuous constitutive parameters to a metamaterial that serves as a stepwise approximation. We focus here on the first step, discussing the merits of various TO strategies proposed for the long-sought 'invisibility cloak'-a structure that renders opaque objects invisible. We also evaluate the cloaking capabilities of structures designed by the related CM approach, which makes use of conformal mapping to achieve index-only material distributions. The performance of the various cloaks is evaluated and compared using a universal measure-the total (all-angle) scattering cross section. © 2011 IOP Publishing Ltd.

Duke Scholars

Published In

Journal of Optics

DOI

EISSN

2040-8986

ISSN

2040-8978

Publication Date

January 1, 2011

Volume

13

Issue

2

Related Subject Headings

  • Optics
  • 5102 Atomic, molecular and optical physics
  • 4008 Electrical engineering
  • 0906 Electrical and Electronic Engineering
  • 0206 Quantum Physics
  • 0205 Optical Physics
 

Citation

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Urzhumov, Y. A., Kundtz, N. B., Smith, D. R., & Pendry, J. B. (2011). Cross-section comparisons of cloaks designed by transformation optical and optical conformal mapping approaches. Journal of Optics, 13(2). https://doi.org/10.1088/2040-8978/13/2/024002
Urzhumov, Y. A., N. B. Kundtz, D. R. Smith, and J. B. Pendry. “Cross-section comparisons of cloaks designed by transformation optical and optical conformal mapping approaches.” Journal of Optics 13, no. 2 (January 1, 2011). https://doi.org/10.1088/2040-8978/13/2/024002.
Urzhumov YA, Kundtz NB, Smith DR, Pendry JB. Cross-section comparisons of cloaks designed by transformation optical and optical conformal mapping approaches. Journal of Optics. 2011 Jan 1;13(2).
Urzhumov, Y. A., et al. “Cross-section comparisons of cloaks designed by transformation optical and optical conformal mapping approaches.” Journal of Optics, vol. 13, no. 2, Jan. 2011. Scopus, doi:10.1088/2040-8978/13/2/024002.
Urzhumov YA, Kundtz NB, Smith DR, Pendry JB. Cross-section comparisons of cloaks designed by transformation optical and optical conformal mapping approaches. Journal of Optics. 2011 Jan 1;13(2).
Journal cover image

Published In

Journal of Optics

DOI

EISSN

2040-8986

ISSN

2040-8978

Publication Date

January 1, 2011

Volume

13

Issue

2

Related Subject Headings

  • Optics
  • 5102 Atomic, molecular and optical physics
  • 4008 Electrical engineering
  • 0906 Electrical and Electronic Engineering
  • 0206 Quantum Physics
  • 0205 Optical Physics