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Electromagnetic surface and line sources under coordinate transformations

Publication ,  Journal Article
Cummer, SA; Kundtz, N; Popa, BI
Published in: Physical Review A - Atomic, Molecular, and Optical Physics
September 14, 2009

Although the analysis of electromagnetic sources in the context of coordinate transformations and the implications for transformation optics have been discussed in the literature, a correct formulation that includes surface and line currents has not been reported. Here we derive how surface and line currents behave under coordinate transformations and validate the analysis through numerical validation of a specific example. This analysis enables transformation optics to be applied to problems that include singular source distributions, which is often the case for practical radiating systems and antennas, to make a given current distribution produce the same fields as a different current distribution by surrounding it with a material with specific electromagnetic properties. © 2009 The American Physical Society.

Duke Scholars

Published In

Physical Review A - Atomic, Molecular, and Optical Physics

DOI

EISSN

1094-1622

ISSN

1050-2947

Publication Date

September 14, 2009

Volume

80

Issue

3

Related Subject Headings

  • General Physics
  • 03 Chemical Sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Cummer, S. A., Kundtz, N., & Popa, B. I. (2009). Electromagnetic surface and line sources under coordinate transformations. Physical Review A - Atomic, Molecular, and Optical Physics, 80(3). https://doi.org/10.1103/PhysRevA.80.033820
Cummer, S. A., N. Kundtz, and B. I. Popa. “Electromagnetic surface and line sources under coordinate transformations.” Physical Review A - Atomic, Molecular, and Optical Physics 80, no. 3 (September 14, 2009). https://doi.org/10.1103/PhysRevA.80.033820.
Cummer SA, Kundtz N, Popa BI. Electromagnetic surface and line sources under coordinate transformations. Physical Review A - Atomic, Molecular, and Optical Physics. 2009 Sep 14;80(3).
Cummer, S. A., et al. “Electromagnetic surface and line sources under coordinate transformations.” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 80, no. 3, Sept. 2009. Scopus, doi:10.1103/PhysRevA.80.033820.
Cummer SA, Kundtz N, Popa BI. Electromagnetic surface and line sources under coordinate transformations. Physical Review A - Atomic, Molecular, and Optical Physics. 2009 Sep 14;80(3).

Published In

Physical Review A - Atomic, Molecular, and Optical Physics

DOI

EISSN

1094-1622

ISSN

1050-2947

Publication Date

September 14, 2009

Volume

80

Issue

3

Related Subject Headings

  • General Physics
  • 03 Chemical Sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences