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

Resonant circuit model for efficient metamaterial absorber

Alexandre Sellier, Tatiana V. Teperik, and André de Lustrac

Open Access Open Access

Abstract

The resonant absorption in a planar metamaterial is studied theoretically. We present a simple physical model describing this phenomenon in terms of equivalent resonant circuit. We discuss the role of radiative and dissipative damping of resonant mode supported by a metamaterial in the formation of absorption spectra. We show that the results of rigorous calculations of Maxwell equations can be fully retrieved with simple model describing the system in terms of equivalent resonant circuit. This simple model allows us to explain the total absorption effect observed in the system on a common physical ground by referring it to the impedance matching condition at the resonance.

© 2013 Optical Society of America

Full Article  |  PDF Article
More Like This
Design and analysis of perfect terahertz metamaterial absorber by a novel dynamic circuit model

Mohammad Parvinnezhad Hokmabadi, David S. Wilbert, Patrick Kung, and Seongsin M. Kim
Opt. Express 21(14) 16455-16465 (2013)

Ultrathin multi-band planar metamaterial absorber based on standing wave resonances

Xiao-Yu Peng, Bing Wang, Shumin Lai, Dao Hua Zhang, and Jing-Hua Teng
Opt. Express 20(25) 27756-27765 (2012)

Perfect selective metamaterial solar absorbers

Hao Wang and Liping Wang
Opt. Express 21(S6) A1078-A1093 (2013)

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 (7)
Fig. 1
Fig. 1 Schematic of planar metamaterial with lattice of metallic patches separated from the ground plane by absorptive layer.

Download Full Size | PDF

Fig. 2
Fig. 2 (a) Absorption spectra for different patch length l: 12.2 mm (red curve), 13.2 mm (blue curve), and 15.2 mm (green curve). The period of the structure is l + Δl with patch-to-patch separation Δl = 2 mm and absorptive layer thickness s = 0.3 mm. (b) Near-field distribution Ez in the first and third resonant modes calculated along the line z = 0 and y = 0. (c) Resonant frequency as a function of patch-to-patch separation Δl for the first and second resonance of the spectra in Fig. 2(a), l = 15.2 mm. The points are connected by black dashed lines for eyes guidance. Blue dotted curves are obtained from Eq. (2)

Download Full Size | PDF

Fig. 3
Fig. 3 (a) Schematically charge distribution in TM mode induced by normally incident plane wave. (b) Resonant RLC equivalent circuit

Download Full Size | PDF

Fig. 4
Fig. 4 (a) Absorption spectra of the first TM mode (n = 1, m = 0) and (b) next higher order TM mode (n = 3, m = 0) for different values of ohmic losses in absorptive layer introduced through ε″. Inset: half width of the resonance Γ as a function of imaginary part of dielectric function ε″ of absorptive layer. Green points correspond to the value of radiative damping γ extracted at ε″ = 0 and the total decay rate Γ at the optimal ε″, respectively. l = 15.2 mm and s = 0.3 mm.

Download Full Size | PDF

Fig. 5
Fig. 5 Radiative damping γ (dashed curves) and total damping Γ (solid curves) of the first resonant TM mode as a function of patch length l (top axis) and absorptive layer thickness s (bottom axis). The points are connected by dashed lines for eyes guidance. Black curves: l = 15.2, Δl = 2 mm. Red curves: s = 0.3 mm, Δl = 2 mm. The grey/rose domains are characterized by absorption higher than 95%.

Download Full Size | PDF

Fig. 6
Fig. 6 Absorption spectra obtained from RLC model (green solid line) and numerical (black dashed line) calculations for (a) the first and (b) the next higher order TM mode. Inset: real (red curve) and imaginary (blue curve) parts of the effective impedance of the metasurface Zeff as a function of frequency.

Download Full Size | PDF

Fig. 7
Fig. 7 Absorption spectra of absorptive layer with ε = 4.4 + i0.088 squeezed under the periodic arrangement of patches of different geometry: square patch with l = 15.2 mm, s = 0.3 mm, Δl = 2 mm (black curve), circular patch with diameter d = 14.8 mm and s = 0.3 mm, and patch-to-patch separation 2 mm (red curve), square hole with side size l = 12 mm, s = 3 mm, and period 16.6 mm (blue curve), circular hole with diameter d = 16 mm, s = 3 mm, and period 19 mm (green curve).

Download Full Size | PDF

Equations (14)

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

k = ω ε / c .
k n m = ω m n ε / c = π l n 2 + m 2 ,
Z = R + i ω L 1 − ω 2 L C + i ω R C .
Z = 1 C ( 2 ν + i ω ) ( ω 0 2 − ω 2 + 2 i ω ν ) ,
Z = 1 2 C i ( ω 0 − ω + i ν ) ,
Z eff = | β | 2 2 C i ( ω 0 − ω + i ν ) ,
r = Z eff − Z 0 Z eff + Z 0 .
ℛ = | r | 2 = ( ω 0 − ω ) 2 + ( ν − γ ) 2 ( ω 0 − ω ) 2 + ( ν + γ ) 2 ,
𝒜 = 1 − ℛ = 4 ν γ ( ω 0 − ω ) 2 + ( ν + γ ) 2 ,
γ = | β | 2 / 2 C Z 0
ℛ = ( ν − γ ) 2 ( ν + γ ) 2 ,
𝒜 = 4 ν γ ( ν + γ ) 2 ,
ν = γ
R 2 L = | β | 2 2 C Z 0 .
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