Abstract
The interaction between the small particles (meta-atoms), either dielectric or metallic, and the propagation of an optical excitation in a regular chain of such particles has been extensively investigated [1,2,3,4,5,6]. Interest in the behavior of chains of metallic nanoparticles was driven mainly by the pursuit of subwavelength guiding structures for a new generation of the optoelectronic components in the area of communication and information processing. Nevertheless, theoretical tools for the modeling of these chains (irrespective to the nature and sizes) remain invariant: the electromagnetic excitation in the particles is supposed to be described by taking into account all possible eigenmodes [1, 3] and interactions between all particles in a chain.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
C.-S. Deng, H. Xu, and Lev Deych, Optical transport and statistics of radiative losses in disordered chains of microspheres. Phys. Rev. A 82, 041803(R) (2010)
W. Weber, G. Ford, Propagation of optical excitations by dipolar interactions in metal nanoparticle chains. Phys. Rev. B 70, 125429 (2004)
M. Quinten, A. Leitner, J. Krenn, F. Aussenegg, Electromagnetic energy transport via linear chains of silver nanoparticles. Opt. Lett. 23, 1331 (1998)
N. Gippius, T. Weiss, S. Tikhodeev, H. Giessen, Resonant mode coupling of optical resonances in stacked nanostructures. Opt. Express 18, 7569 (2010)
N. Feth, M. König, M. Husnik, K. Stannigel, J. Niegemann, K. Busch, M. Wegener, S. Linden, Electromagnetic interaction of split-ring resonators: the role of separation and relative orientation. Opt. Express 18, 654529 (2010)
A. Alù, N. Engheta, Theory of linear chains of metamaterial/plasmonic particles as subdiffraction optical nanotransmission lines. Phys. Rev. B 74, 205436 (2006)
J. Rico-García, J. López-Alonso, A. Aradian, Toy model to describe the effect of positional blocklike disorder in metamaterials composites. JOSA B 29, 53 (2012)
S. Maier, P. Kik, H. Atwater, Optical pulse propagation in metal nanoparticle chain waveguides. Phys. Rev. B 67, 205402 (2003)
A. Alù, N. Engheta, Effect of small random disorders and imperfections on the performance of arrays of plasmonic nanoparticles. New J. Phys. 12, 013015 (2010)
A. Chipouline, J. Petschulat, A. Tuennermann, T. Pertsch, C. Menzel, C. Rockstuhl, F. Lederer, Multipole approach in electrodynamics of Metamaterials. Appl. Phys. A 103, 899–904 (2011)
J. Petschulat, C. Menzel, A. Chipouline, C. Rockstuhl, A. Tünnermann, F. Lederer, T. Pertsch, Multipole approach to metamaterials. Phys. Rev. B 78, 043811 (2008)
C. Simovski, Material parameters of metamaterials (a review). Opt. Spectrosc. 107, 726 (2009)
C. Simovski, On electromagnetic characterization and homogenization of nanostructured metamaterials. J. Opt. 13, 013001 (2011)
E. Tatartschuk, A. Radkovskaya, E. Shamonina, L. Solymar, Generalized Brillouin diagrams for evanescent waves in metamaterials with interelement coupling. Phys. Rev. B 81, 115110 (2010)
A. Radkovskaya, E. Tatartschuk, O. Sydoruk, E. Shamonina, C. Stevens, D. Edwards, L. Solymar, Surface waves at an interface of two metamaterial structures with interelement coupling. Phys. Rev. B 82, 045430 (2010)
A. Radkovskaya, O. Sydoruk, E. Tatartschuk, N. Gneiding, C. Stevens, D. Edwards, E. Shamonina, Dimer and polymer metamaterials with alternating electric and magnetic coupling. Phys. Rev. B 84, 125121 (2011)
E. Shamonina, Magnetoinductive polaritons: hybrid modes of metamaterials with interelement coupling. Phys. Rev. B 85, 155146 (2012)
Z. Jacob, L. Alekseev, E. Narimanov, Optical hyperlens: far-field imaging beyond the diffraction limit. Opt. Express 14, 8247 (2006)
E. Clayton, G.H. Derrick, A numerical solution of wave equations for real or complex Eigenvalues. Aust. J. Phys. 30, 15 (1977)
D. Smith, D. Schurig, M. Rosenbluth, S. Schultz, S. Ramakrishna, J. Pendry, Limitation on subdiffraction imaging with a negative refractive index slab. APL 82, 1506 (2003)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG, part of Springer Nature
About this chapter
Cite this chapter
Chipouline, A., Küppers, F. (2018). Applications of the “Classical” Metamaterial Model—Metamaterials with Interaction Between Meta-Atoms. In: Optical Metamaterials: Qualitative Models. Springer Series in Optical Sciences, vol 211. Springer, Cham. https://doi.org/10.1007/978-3-319-77520-3_6
Download citation
DOI: https://doi.org/10.1007/978-3-319-77520-3_6
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-77518-0
Online ISBN: 978-3-319-77520-3
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)