Abstract

The material properties of toroidal invisibility cloaks are derived based on the coordinate transformation method. The permittivity and permeability tensors for toroidal cloaks are substantially different from those for spherical cloaks, but quite similar to those for 2D cylindrical cloaks because a singularity is involved at the inner boundary in both the cases. The cloaking effect is confirmed by the electric field distribution in the vicinity of toroidal cloaks simulated from the generalized discrete-dipole approximation (DDA) method. This study extends the concept of electromagnetic cloaking of arbitrarily-shaped objects to a complex geometry.

© 2009 Optical Society of America

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History
Original Manuscript: February 25, 2009
Manuscript Accepted: April 2, 2009
Revised Manuscript: March 30, 2009
Published: April 6, 2009

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Author Affiliations

Ping Yang

Department of Atmospheric Sciences, Texas A&M University

George W. Kattawar

Department of Physics and Institute for Quantum Studies, Texas A&M University

Yu You

Department of Physics, Texas A&M University

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