CST – Computer Simulation Technology

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

Title:
A Unique Extraction of Metamaterial Parameters Based on Kramers–Kronig Relationship
Author(s):
Zsolt Szabó, Gi-Ho Park, Ravi Hedge, Er-Ping Li
Source:
IEEE Transactions on Microwave Theory and Techniques
Vol./Issue/Date:
Volume: 58, Issue: 10, October 2010
Year:
2010
Page(s):
2646-2653
Keywords:
Branching problem, effective material parameters, Kramers–Kronig relations, metamaterials
Abstract:
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 howthe effective parameters of a metamaterial slab converge as its thickness is increased.
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