Document Type
Conference Paper
Publication Date
8-2013
Publication Source
Proceedings of SPIE: Material Technologies and Applications to Optics, Structures, Components, and Sub-Systems
Abstract
Negative refractive index arises typically in metamaterials via multiple routes. One such avenue is the condition where the Poynting vector of the electromagnetic wave is in opposition to the group velocity in the material. An earlier work along this route in a chiral material led to the well-known result of requiring very large (non-realizable) chirality.
Thereafter, a combination of chirality together with first-order dispersion was examined using plane wave electromagnetic analysis. To arrive at the conclusions in that approach, the three wave velocities (energy, group and phase) were derived under first-order dispersion in permittivity, permeability and chirality. Negative index in this approach was established under the condition of contra-propagating group and phase velocities. Regions of negative index were found analytically by assuming standard dispersive models (such as Condon).
In this paper, we will re-visit the negative index problem under higher-order dispersion. In addition, we will re-examine the plane wave propagation model under parametric dispersion where each material parameter (ε, μ, κ) is dispersively expanded up to the second order in frequency. Such a physical effect may be traced to group velocity dispersion (GVD) in the material. Field solutions are then obtained under the GVD effect, and extended to the evaluation of the energy, phase and group velocities.
Inclusive pages
88370W-1 to 88370W-15
ISBN/ISSN
0277-786X
Document Version
Published Version
Copyright
Copyright © 2013, Society of Photo-optical Instrumentation Engineers. One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited.
Publisher
Society of Photo-optical Instrumentation Engineers
Place of Publication
San Diego, CA
Volume
8837
Peer Reviewed
yes
eCommons Citation
Chatterjee, Monish Ranjan and Algadey, Tarig A., "Investigation of Negative Index in Dispersive, Chiral Materials via Contra-propagating Velocities under Second-order Dispersion (GVD)" (2013). Electrical and Computer Engineering Faculty Publications. 348.
https://ecommons.udayton.edu/ece_fac_pub/348
Included in
Computer Engineering Commons, Electrical and Electronics Commons, Electromagnetics and Photonics Commons, Optics Commons, Other Electrical and Computer Engineering Commons, Systems and Communications Commons
Comments
This document is provided for download in compliance with the publisher's policy on self-archiving. Permission documentation is on file.
DOI: http://dx.doi.org/10.1117/12.2025182