A Unique Extraction of Metamaterial Parameters Based on Kramers-Kronig Relationship

In this paper, an improved algorithm for extracting the effective constitutive parameters of a metamaterial is derived. The procedure invokes the Kramers-Kronig relations to ensure the uniqueness of the solution. The accuracy of the method is demonstrated by retrieving the effective material paramet...

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Bibliographic Details
Published in:IEEE transactions on microwave theory and techniques Vol. 58; no. 10; pp. 2646 - 2653
Main Authors: Szabo, Zsolt, Park, Gi-Ho, Hedge, Ravi, Li, Er-Ping
Format: Journal Article
Language:English
Published: New York, NY IEEE 01.10.2010
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Algorithms
Applied sciences
Branching problem
Circuit properties
effective material parameters
Electric, optical and optoelectronic circuits
Electronic circuits
Electronics
Exact sciences and technology
Kramers-Kronig relations
Magnetic materials
Materials
Mathematical analysis
Metamaterials
Microwaves
Oscillators, resonators, synthetizers
Permeability
Permittivity
Refractive index
Resonators
Slabs
Uniqueness
Wire
Complex function
Accuracy
Branching problem
Kramers-Kronig relations
Logarithmic function
Ring resonator
Refraction index
metamaterials
Algorithm
Metamaterial
effective material parameters
Kramers Kronig analysis
ISSN:0018-9480, 1557-9670
Online Access:Get full text
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Summary:In this paper, an improved algorithm for extracting the effective constitutive parameters of a metamaterial is derived. The procedure invokes the Kramers-Kronig relations to ensure the uniqueness of the solution. The accuracy of the method is demonstrated by retrieving the effective material parameters of a homogeneous slab. This study reveals under which conditions the calculation of the refractive index involves more than one branch of the complex logarithmic function. A metamaterial built up from wires and split-ring resonators is then investigated. The applicability and limits of the presented algorithm are explored by observing how the effective parameters of a metamaterial slab converge as its thickness is increased.
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ISSN:0018-9480
1557-9670
DOI:10.1109/TMTT.2010.2065310