Title
Metamaterial band theory: fundamentals & applications.
Abstract
Remarkable progress has been made over the past decade in controlling light propagation and absorption in compact devices using nanophotonic structures and metamaterials. From sensing and modulation,to on-chip communication and light trapping for solar cells, new device applications and opportunities motivate the need for a rigorous understanding of the modal properties of metamaterials over a broad range of frequencies.In this review, we provide an overview of a metamaterial band theory we have developed that rigorously models the behavior of metamaterials made of dispersive materials such as metals. The theory extends traditional photonic band theory for periodic dielectric structures by coupling the mechanical motion of electrons in the metal directly to Maxwell's equations. The solution for the band structures of metamaterials is then reduced to a standard matrix eigenvalue problem that nevertheless fully takes into account the dispersive properties of the constituent materials. As an application of the metamaterial band theory, we show that one can develop a perturbation formalism based on this theory to physically explain and predict the efect of dielectric refractive index modulation or metallic plasma frequency variation in metamaterials. Furthermore, the metamaterial band theory also provides an intuitive physical picture of the source of modal material loss, as well as a rigorous upper bound on the modal material loss rate of any plasmonic, metamaterial structure. This in turn places fundamental limits on the broadband operation of such devices for applications such as photodetection and absorption.
Year
DOI
Venue
2013
10.1007/s11432-013-5039-7
SCIENCE CHINA Information Sciences
Keywords
Field
DocType
metamaterials,photonic band theory,plasmonics,sensing,active metamaterials
Control theory,Transformation optics,Nanophotonics,Metamaterial,Split-ring resonator,Metamaterial absorber,Optoelectronics,Photonic metamaterial,Metamaterial antenna,Metamaterial cloaking,Mathematics
Journal
Volume
Issue
ISSN
56
12
1869-1919
Citations 
PageRank 
References 
18
0.37
1
Authors
3
Name
Order
Citations
PageRank
Aaswath Pattabhi Raman1431.30
Wonseok Shin2241.70
Shanhui Fan3377.98