Structures Containing Left-Handed Metamaterials with Refractive Index Gradient: Exact Analytical Versus Numerical Treatment

Mariana Dalarsson; Z. Jaksic; Philippe Tassin

Structures Containing Left-Handed Metamaterials with Refractive Index Gradient: Exact Analytical Versus Numerical Treatment

Mariana Dalarsson, Z. Jaksic, Philippe Tassin

Research output: Contribution to journal › Article › peer-review

Abstract

We investigated propagation of electromagnetic waves through composite structures with negative refractive index, the popular "left-handed metamaterials", for the case when there is a gradient of refractive index. We obtained the exact analytical solutions to the Helmholtz equation valid for
arbitrary steepness of the graded interface between the positive and the negative index part. We analyzed the special case of matched impedances of the two constituent materials within the metamaterial composite. We derived analytical expressions for the field intensity, transmission and reflection coefficients and compared them with the results obtained by the numerical simulations using the Finite Element Method. The model allows for arbitrary spectral dispersion and lossy media.

Original language	English
Pages (from-to)	2-5
Number of pages	4
Journal	Microwave Review
Volume	15
Publication status	Published - 1 Dec 2009

Keywords

optics
photonics
applied physics
metamaterials
left-handed materials
electrodynamics
graded index

Access to Document

http://www.mwr.medianis.net/pdf/Vol15No2-02-MDalarsson.pdf

Handle.net

Persistent link

OZR1282: Metamaterials for novel photonic components: left-handed materials and quantum dots
Tassin, P. & Veretennicoff, I.
1/01/06 → 31/12/08
Project: Fundamental
FWOTM363: Metamaterials for novel photonic components : left-handed materials and quantum dots.
Veretennicoff, I. & Tassin, P.
1/10/05 → 30/09/09
Project: Fundamental

Cite this

@article{a5fb900eb6cc4e1f80d8582b38e4e304,

title = "Structures Containing Left-Handed Metamaterials with Refractive Index Gradient: Exact Analytical Versus Numerical Treatment",

abstract = "We investigated propagation of electromagnetic waves through composite structures with negative refractive index, the popular {"}left-handed metamaterials{"}, for the case when there is a gradient of refractive index. We obtained the exact analytical solutions to the Helmholtz equation valid for arbitrary steepness of the graded interface between the positive and the negative index part. We analyzed the special case of matched impedances of the two constituent materials within the metamaterial composite. We derived analytical expressions for the field intensity, transmission and reflection coefficients and compared them with the results obtained by the numerical simulations using the Finite Element Method. The model allows for arbitrary spectral dispersion and lossy media.",

keywords = "optics, photonics, applied physics, metamaterials, left-handed materials, electrodynamics, graded index",

author = "Mariana Dalarsson and Z. Jaksic and Philippe Tassin",

year = "2009",

month = dec,

day = "1",

language = "English",

volume = "15",

pages = "2--5",

journal = "Microwave Review",

issn = "1450-5835",

publisher = "Society for Microwave Technique, Technologies and Systems and Serbia and Montenegro IEEE MTT-S Chapter",

}

TY - JOUR

T1 - Structures Containing Left-Handed Metamaterials with Refractive Index Gradient: Exact Analytical Versus Numerical Treatment

AU - Dalarsson, Mariana

AU - Jaksic, Z.

AU - Tassin, Philippe

PY - 2009/12/1

Y1 - 2009/12/1

N2 - We investigated propagation of electromagnetic waves through composite structures with negative refractive index, the popular "left-handed metamaterials", for the case when there is a gradient of refractive index. We obtained the exact analytical solutions to the Helmholtz equation valid for arbitrary steepness of the graded interface between the positive and the negative index part. We analyzed the special case of matched impedances of the two constituent materials within the metamaterial composite. We derived analytical expressions for the field intensity, transmission and reflection coefficients and compared them with the results obtained by the numerical simulations using the Finite Element Method. The model allows for arbitrary spectral dispersion and lossy media.

AB - We investigated propagation of electromagnetic waves through composite structures with negative refractive index, the popular "left-handed metamaterials", for the case when there is a gradient of refractive index. We obtained the exact analytical solutions to the Helmholtz equation valid for arbitrary steepness of the graded interface between the positive and the negative index part. We analyzed the special case of matched impedances of the two constituent materials within the metamaterial composite. We derived analytical expressions for the field intensity, transmission and reflection coefficients and compared them with the results obtained by the numerical simulations using the Finite Element Method. The model allows for arbitrary spectral dispersion and lossy media.

KW - optics

KW - photonics

KW - applied physics

KW - metamaterials

KW - left-handed materials

KW - electrodynamics

KW - graded index

M3 - Article

SN - 1450-5835

VL - 15

SP - 2

EP - 5

JO - Microwave Review

JF - Microwave Review

ER -

Structures Containing Left-Handed Metamaterials with Refractive Index Gradient: Exact Analytical Versus Numerical Treatment

Abstract

Keywords

Access to Document

Handle.net

Fingerprint

Projects

OZR1282: Metamaterials for novel photonic components: left-handed materials and quantum dots

FWOTM363: Metamaterials for novel photonic components : left-handed materials and quantum dots.

Cite this