Propagation in and scattering from a matched metamaterial having a zero index of refraction

Richard W. Ziolkowski

doi:10.1103/PhysRevE.70.046608

Propagation in and scattering from a matched metamaterial having a zero index of refraction

Richard W. Ziolkowski

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

501 Scopus citations

Abstract

The propagation in and scattering from Planar metamaterials that exhibit a zero index of refraction within a specified frequency band, were investigated. Finite difference time domain (FDTD) simulator was used to treat the corresponding one- and two-dimensional scattering problems. Since the matched zero-index slab transformed the cylindrical waves generated by an internal line source into planar wavefronts, it was suggested that such a slab would do the same to the fields radiated by an external line source. The results show that in steady state, the fields in the matched zero-index medium are static in character but the underlying dynamics are that of propagating transverse waves.

Original language	English (US)
Article number	046608
Pages (from-to)	046608-1-046608-12
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	70
Issue number	4 2
DOIs	https://doi.org/10.1103/PhysRevE.70.046608
State	Published - Oct 2004

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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title = "Propagation in and scattering from a matched metamaterial having a zero index of refraction",

abstract = "The propagation in and scattering from Planar metamaterials that exhibit a zero index of refraction within a specified frequency band, were investigated. Finite difference time domain (FDTD) simulator was used to treat the corresponding one- and two-dimensional scattering problems. Since the matched zero-index slab transformed the cylindrical waves generated by an internal line source into planar wavefronts, it was suggested that such a slab would do the same to the fields radiated by an external line source. The results show that in steady state, the fields in the matched zero-index medium are static in character but the underlying dynamics are that of propagating transverse waves.",

author = "Ziolkowski, {Richard W.}",

note = "Funding Information: This work was supported in part by DARPA under Contract No. MDA972-03-100 and by ONR under Contract No. 14-04-1-0320. The author would like to thank Dr. Christophe Caloz and Professor Tatsuo Itoh, UCLA, for interesting discussions concerning planar realizations of zero-index metamaterials and their application to zeroth-order resonators.",

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