Electrodynamics of Metallic Photonic Crystals and the Problem of Left-Handed Materials

A. L. Pokrovsky, A. L. Efros

Type: Article

Publication Date: 2002-08-09

Citations: 129

DOI: https://doi.org/10.1103/physrevlett.89.093901

Abstract

An analytical theory of low frequency electromagnetic waves in metallic photonic crystals with a small volume fraction of a metal is presented. The evidence for such waves has been obtained recently by experiments and computations. The cutoff frequency of these waves, omega(0), is studied. An analytical expression for the permittivity epsilon is obtained and shown to be negative below omega(0). If the crystal is embedded into a medium with a negative mu, there are no propagating modes at any frequency. Thus, such a compound system is not a left-handed material (LHM). The recent experimental results on the LHM are discussed.

Locations

Physical Review Letters - View
arXiv (Cornell University) - View - PDF
PubMed - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Propagation of waves in metallic photonic crystals at low frequencies and some theoretical aspects of left-handed materials	2003	A. L. Pokrovsky A. L. Efros
+	Photonic Approach to Making a Left-Handed Material	2002	Gennady Shvets
+ PDF Chat	Band structure for a one-dimensional photonic crystal containing left-handed materials	2003	L.W. Wu Sailing He Linfang Shen
+	Negative effective permeability and left-handed materials at optical frequencies	2006	Andrea Alù Alessandro Salandrino Nader Engheta
+ PDF Chat	On the possibility of superluminal energy propagation in a hyperbolic metamaterial of metal-dielectric layers	2018	Pi-Gang Luan Jie-Luen Wu
+	On the possibility of superluminal energy propagation in a hyperbolic metamaterial of metal-dielectric layers	2017	Pi-Gang Luan Jie-Luen Wu
+ PDF Chat	Negative Refraction and Left-Handed Electromagnetism in Microwave Photonic Crystals	2004	Patanjali V. Parimi Wentao Lu P. Vodo Jérôme Sokoloff John S. Derov Srinivas Sridhar
+ PDF Chat	Plasmon polaritons in photonic superlattices containing a left-handed material	2009	E. Reyes‐Gómez D. Mogilevtsev S. B. Cavalcanti C. A. A. de Carvalho L. E. Oliveira
+ PDF Chat	Nonlocal electrodynamics of two-dimensional wire mesh photonic crystals	2002	A. L. Pokrovsky A. L. Efros
+	Guided modes in photonic structures with left-handed components	2015	P. Markoš
+	Zero Permeability Materials (ZmuM): A way out of the "Left Handed Materials" trap	2002	N. Garcı́a M. Muñoz Ekaterina Ponizovskaya Devine M. Nieto‐Vesperinas
+	Photonic crystal with left-handed components	2015	P. Markoš
+	Photonic crystal with left-handed components	2015	P. Markoš
+ PDF Chat	Effective Medium Theory of Left-Handed Materials	2004	Thomas Koschny Maria Kafesaki E. N. Economou Costas M. Soukoulis
+	Complete Band Gaps in One-Dimensional Left-Handed Periodic Structures	2005	Ilya V. Shadrivov Andrey A. Sukhorukov Yuri S. Kivshar
+ PDF Chat	Physics of Propagation in Left-Handed Guided Wave Structures at Microwave and Millimeter-Wave Frequencies	2004	Clifford M. Krowne
+ PDF Chat	Non-left-handed transmission and bianisotropic effect in a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>π</mml:mi></mml:math>-shaped metallic metamaterial	2007	Zheng‐Gao Dong Shuangying Lei Qi Li Mingxiang Xu Hui Liu Tao Li Fu‐Ming Wang Shining Zhu
+ PDF Chat	Optomagnetic composite medium with conducting nanoelements	2002	L.V. Panina A. N. Grigorenko D. P. Makhnovskiy
+	Introduction to the theory of left-handed media	2004	Jian Shen
+ PDF Chat	Photonic Transmittance in Metallic and Left Handed Superlattices	2020	Pedro Pereyra

Works That Cite This (30)

Action	Title	Year	Authors
+ PDF Chat	Metamaterial homogenization approach with application to the characterization of microstructured composites with negative parameters	2007	Mário G. Silveirinha
+ PDF Chat	Interplay between anisotropy and spatial dispersion in metamaterial waveguides	2016	Kirill Koshelev Andrey Bogdanov
+ PDF Chat	Nanowire metamaterials with extreme optical anisotropy	2006	Justin Elser Robyn Wangberg Viktor A. Podolskiy Evgenii E. Narimanov
+ PDF Chat	Low-frequency spectroscopy of superconducting photonic crystals	2008	Alexander N. Poddubny E. L. Ivchenko Yu. E. Lozovik
+ PDF Chat	Dielectric photonic crystal as medium with negative electric permittivity and magnetic permeability	2004	A. L. Efros A. L. Pokrovsky
+ PDF Chat	Artificial magnetism and left-handed media from dielectric rings and rods	2009	Lukáš Jelínek R. Marqués
+ PDF Chat	Negative Refraction and Left-Handed Electromagnetism in Microwave Photonic Crystals	2004	Patanjali V. Parimi Wentao Lu P. Vodo Jérôme Sokoloff John S. Derov Srinivas Sridhar
+ PDF Chat	Numerical simulations of negative-index refraction in a lamellar composite with alternating single negative layers	2006	Zheng‐Gao Dong Zhu Shi-Ning Hui Liu
+ PDF Chat	Numerical simulations of negative-index refraction in wedge-shaped metamaterials	2005	Zheng‐Gao Dong Shining Zhu Hui Liu Jie Zhu Wenwu Cao
+	Noncommuting limits and effective properties for oblique propagation of electromagnetic waves through an array of aligned fibres	2004	Christopher G. Poulton Sébastien Guenneau A. B. Movchan

Works Cited by This (0)

Action	Title	Year	Authors