Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group
Journal Home About Issues in Progress Current Issue All Issues Feature Issues

Guided modes in channel waveguides with a negative index of refraction

A. C. Peacock and N. G. R. Broderick

Open Access Open Access

Abstract

The guided modes of a negative refractive index channel waveguide have been numerically investigated. It has been found that the modes exhibit a number of unusual properties that differ considerably from those of a conventional waveguide. In particular, it has been shown that these waveguides can exhibit low or negative group velocity as well as extraordinarily large group velocity dispersion. Calculation of the Poynting vector reveals that it is possible to support a mode with a zero energy flux motivating a simple design for an optical trap.

©2003 Optical Society of America

Full Article  |  PDF Article
More Like This
Characteristics of bound modes in coupled dielectric waveguides containing negative index media

Klaus Halterman, J. Merle Elson, and P. L. Overfelt
Opt. Express 11(6) 521-529 (2003)

Guiding effects in waveguides with anti-symmetric refractive index layouts

Shlomo Ruschin
Opt. Express 18(20) 20681-20689 (2010)

Guided modes near the Dirac point in negative-zero-positive index metamaterial waveguide

Ming Shen, Lin-Xu Ruan, and Xi Chen
Opt. Express 18(12) 12779-12787 (2010)

View More...

Cited By

Optica participates in Crossref's Cited-By Linking service. Citing articles from Optica Publishing Group journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (6)
Fig. 1.
Fig. 1. Waveguide geometry and parameters.

Download Full Size | PDF

Fig. 2.
Fig. 2. Typical solutions for the x (top) and y (bottom) components of the guided modes of a negative index channel waveguide. The solid lines are the right-hand-sides of Eqs. (5) and (6) and the dashed lines are obtained from the right-hand-sides of Eqs. (7) and (8).

Download Full Size | PDF

Fig. 3.
Fig. 3. Examples of the mode profiles for the solutions in Fig. 2. Top row : H2,1y solutions with L=0.1cm corresponding to intersections (a,α) and (b,β). Middle row : H3,1y solutions with L=1cm corresponding to intersections (c,δ) and (d,δ). Bottom row : H3,2y solutions with L=2cm corresponding to intersections (c,η) and (d,η).

Download Full Size | PDF

Fig. 4.
Fig. 4. (a) Propagation constant, (b) group velocity, and (c) group velocity dispersion parameter of the H3,1y solutions from the middle row of Fig. 3. The solid and dashed lines correspond to the strongly (c,δ) and weakly (d,δ) localized modes, respectively.

Download Full Size | PDF

Fig. 5.
Fig. 5. Normalized energy flux as calculated for the H3,1y solutions of Figs. 3 and 4.

Download Full Size | PDF

Fig. 6.
Fig. 6. (a) Propagation constant and (b) normalized energy flux of the H3,1y solutions from the middle row of Fig. 3, as functions of the waveguide width L. The solid and dashed lines correspond to the strongly (c,δ) and weakly (d,δ) localized modes, respectively.

Download Full Size | PDF

Equations (11)

Equations on this page are rendered with MathJax. Learn more.

E ˜ ( x , y , z , t ) = E ( x , y ) e − i ( ω t − β z ) ,
H ˜ ( x , y , z , t ) = H ( x , y ) e − i ( ω t − β z ) ,
∂ 2 H y ∂ x 2 + ∂ 2 H y ∂ y 2 + ( ω 2 c 2 ε i μ i − β ) H y = 0 ,
E x = ω μ 0 μ i β H y + 1 ω ε 0 ε i β ∂ 2 H y ∂ x 2 .
γ x L = ε 1 ε 2 k x L tan ( k x L − ( p − 1 ) π 2 ) ,
γ y L = k y L tan ( k y L − ( q − 1 ) π 2 ) ,
γ x 2 = ω 2 c 2 ( ε 2 μ 2 − ε 1 μ 1 ) − k x 2 ,
γ y 2 = ω 2 c 2 ( ε 2 μ 2 − ε 1 μ 1 ) − k y 2 .
β 2 = ω 2 c 2 ε 2 μ 2 − ( k x 2 + k y 2 ) .
ε i ( ω ) = 1 − ω p , i 2 ω 2 , μ i ( ω ) = 1 − F ω 2 ω 2 − ω 0 , i 2 .
P core = ∬ core S z d x d y , P clad = ∬ clad S z d x d y .
Select as filters
Select Topics Cancel
Top
       
© Copyright 2024 | Optica Publishing Group. All rights reserved, including rights for text and data mining and training of artificial technologies or similar technologies.
Privacy | Terms of Use