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Tunneling times in dispersive and third-order nonlinear optical metamaterials

J. Nanophoton. 5, 051802 (May 12, 2011); http://dx.doi.org/10.1117/1.3586782

Jelena V. Radovanović and Vitomir B. Milanović

University of Belgrade, School of Electrical Engineering, Bulevar kralja Aleksandra 73, 11120 Belgrade, Serbia

Igor Ilić, Petra P. Beličev, and Ljupčo Hadžievski

University of Belgrade, Vinča Institute of Nuclear Sciences, Mike Petrovića Alasa 12-14, P.O. Box 522, 11001 Belgrade, Serbia

Investigating the propagation of electromagnetic radiation in linear and nonlinear materials (with third-order nonlinearity), we derived a general expression for the dwell time valid for all linear media, as well as its relation with the group delay. The obtained results indicate that, for a nonmagnetic lossless material, the group delay reduces to the sum of the dwell time and the self-interference time. Calculations confirmed the occurrence of the Hartman effect in negative-refractive-index metamaterials (the dwell time saturates with increasing obstacle length), as well as the negative group delay in a certain spectral regime. Analysis of the Goos–Hänchen shift, in case of an obstacle made of negative-refractive-index metamaterial embedded in a dielectric with saturable nonlinearity, showed that there is no impact on the dwell time, while various effects on the group delay may be achieved, including its reduction or even preservation for nonzero incident angles.

© 2011 Society of Photo-Optical Instrumentation Engineers (SPIE)

History
Received Jan 31, 2011
Accepted Apr 11, 2011
Revised Mar 16, 2011
Published online May 12, 2011
Citation
Jelena V. Radovanović, Igor Ilić, Petra P. Beličev, Ljupčo Hadžievski and Vitomir B. Milanović, "Tunneling times in dispersive and third-order nonlinear optical metamaterials", J. Nanophoton. 5, 051802 (May 12, 2011); http://dx.doi.org/10.1117/1.3586782

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