Scholars@Duke
Journal cover image

Design of electromagnetic cloaks and concentrators using form-invariant coordinate transformations of Maxwell's equations

Publication ,  Journal Article
Rahm, M; Schurig, D; Roberts, DA; Cummer, SA; Smith, DR; Pendry, JB
Published in: Photonics and Nanostructures - Fundamentals and Applications
April 1, 2008
Published version (DOI)

The technique of applying form-invariant, spatial coordinate transformations of Maxwell's equations can facilitate the design of structures with unique electromagnetic or optical functionality. Here, we illustrate the transformation-optical approach in the designs of a square electromagnetic cloak and an omni-directional electromagnetic field concentrator. The transformation equations are described and the functionality of the devices is numerically confirmed by two-dimensional finite element simulations. The two devices presented demonstrate that the transformation optic approach leads to the specification of complex, anisotropic and inhomogeneous materials with well directed and distinct electromagnetic behavior. © 2007 Elsevier B.V. All rights reserved.

Duke Scholars

Steven A. Cummer
Author Steven A. Cummer Electrical and Computer Engineering
David R. Smith
Author David R. Smith Electrical and Computer Engineering
Altmetric Attention Stats
Dimensions Citation Stats

Published In

Photonics and Nanostructures - Fundamentals and Applications

DOI

10.1016/j.photonics.2007.07.013

ISSN

1569-4410

Publication Date

April 1, 2008

Volume

6

Issue

1

Start / End Page

87 / 95

Related Subject Headings

  • Optoelectronics & Photonics
  • 5102 Atomic, molecular and optical physics
  • 1007 Nanotechnology
  • 0303 Macromolecular and Materials Chemistry
  • 0205 Optical Physics
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Rahm, M., Schurig, D., Roberts, D. A., Cummer, S. A., Smith, D. R., & Pendry, J. B. (2008). Design of electromagnetic cloaks and concentrators using form-invariant coordinate transformations of Maxwell's equations. Photonics and Nanostructures - Fundamentals and Applications, 6(1), 87–95. https://doi.org/10.1016/j.photonics.2007.07.013
Rahm, M., D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry. “Design of electromagnetic cloaks and concentrators using form-invariant coordinate transformations of Maxwell's equations.” Photonics and Nanostructures - Fundamentals and Applications 6, no. 1 (April 1, 2008): 87–95. https://doi.org/10.1016/j.photonics.2007.07.013.
Rahm M, Schurig D, Roberts DA, Cummer SA, Smith DR, Pendry JB. Design of electromagnetic cloaks and concentrators using form-invariant coordinate transformations of Maxwell's equations. Photonics and Nanostructures - Fundamentals and Applications. 2008 Apr 1;6(1):87–95.
Rahm, M., et al. “Design of electromagnetic cloaks and concentrators using form-invariant coordinate transformations of Maxwell's equations.” Photonics and Nanostructures - Fundamentals and Applications, vol. 6, no. 1, Apr. 2008, pp. 87–95. Scopus, doi:10.1016/j.photonics.2007.07.013.
Rahm M, Schurig D, Roberts DA, Cummer SA, Smith DR, Pendry JB. Design of electromagnetic cloaks and concentrators using form-invariant coordinate transformations of Maxwell's equations. Photonics and Nanostructures - Fundamentals and Applications. 2008 Apr 1;6(1):87–95.
Journal cover image

Published In

Photonics and Nanostructures - Fundamentals and Applications

DOI

10.1016/j.photonics.2007.07.013

ISSN

1569-4410

Publication Date

April 1, 2008

Volume

6

Issue

1

Start / End Page

87 / 95

Related Subject Headings

  • Optoelectronics & Photonics
  • 5102 Atomic, molecular and optical physics
  • 1007 Nanotechnology
  • 0303 Macromolecular and Materials Chemistry
  • 0205 Optical Physics