Causal homogenization of metamaterials

Seokjae Yoo, Suyeon Lee, Jong Ho Choe, Q Han Park

Research output: Contribution to journalArticle

Abstract

We propose a homogenization scheme for metamaterials that utilizes causality to determine their effective parameters. By requiring the Kramers-Kronig causality condition in the homogenization of metamaterials, we show that the effective parameters can be chosen uniquely, in contrast to the conventional parameter retrieval method which has unavoidable phase ambiguity arising from the multivalued logarithm function. We demonstrate that the effective thickness of metamaterials can also be determined to a specific value by saturating the minimum-error condition for the causality restriction. Our causal homogenization provides a robust and accurate characterization method for metamaterials.

Original languageEnglish
Pages (from-to)1063-1069
Number of pages7
JournalNanophotonics
Volume8
Issue number6
DOIs
Publication statusPublished - 2019 Jan 1

Fingerprint

Metamaterials
homogenizing
Causality
logarithms
ambiguity
retrieval
constrictions

Keywords

  • causality
  • effective medium theory
  • homogenization
  • metamaterials
  • parameter retrieval method

ASJC Scopus subject areas

  • Biotechnology
  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Electrical and Electronic Engineering

Cite this

Causal homogenization of metamaterials. / Yoo, Seokjae; Lee, Suyeon; Choe, Jong Ho; Park, Q Han.

In: Nanophotonics, Vol. 8, No. 6, 01.01.2019, p. 1063-1069.

Research output: Contribution to journalArticle

Yoo, Seokjae ; Lee, Suyeon ; Choe, Jong Ho ; Park, Q Han. / Causal homogenization of metamaterials. In: Nanophotonics. 2019 ; Vol. 8, No. 6. pp. 1063-1069.
@article{57cfb8ab12774b128f0fdbd0963b3a88,
title = "Causal homogenization of metamaterials",
abstract = "We propose a homogenization scheme for metamaterials that utilizes causality to determine their effective parameters. By requiring the Kramers-Kronig causality condition in the homogenization of metamaterials, we show that the effective parameters can be chosen uniquely, in contrast to the conventional parameter retrieval method which has unavoidable phase ambiguity arising from the multivalued logarithm function. We demonstrate that the effective thickness of metamaterials can also be determined to a specific value by saturating the minimum-error condition for the causality restriction. Our causal homogenization provides a robust and accurate characterization method for metamaterials.",
keywords = "causality, effective medium theory, homogenization, metamaterials, parameter retrieval method",
author = "Seokjae Yoo and Suyeon Lee and Choe, {Jong Ho} and Park, {Q Han}",
year = "2019",
month = "1",
day = "1",
doi = "10.1515/nanoph-2019-0069",
language = "English",
volume = "8",
pages = "1063--1069",
journal = "Nanophotonics",
issn = "2192-8606",
publisher = "Walter De Gruyter",
number = "6",

}

TY - JOUR

T1 - Causal homogenization of metamaterials

AU - Yoo, Seokjae

AU - Lee, Suyeon

AU - Choe, Jong Ho

AU - Park, Q Han

PY - 2019/1/1

Y1 - 2019/1/1

N2 - We propose a homogenization scheme for metamaterials that utilizes causality to determine their effective parameters. By requiring the Kramers-Kronig causality condition in the homogenization of metamaterials, we show that the effective parameters can be chosen uniquely, in contrast to the conventional parameter retrieval method which has unavoidable phase ambiguity arising from the multivalued logarithm function. We demonstrate that the effective thickness of metamaterials can also be determined to a specific value by saturating the minimum-error condition for the causality restriction. Our causal homogenization provides a robust and accurate characterization method for metamaterials.

AB - We propose a homogenization scheme for metamaterials that utilizes causality to determine their effective parameters. By requiring the Kramers-Kronig causality condition in the homogenization of metamaterials, we show that the effective parameters can be chosen uniquely, in contrast to the conventional parameter retrieval method which has unavoidable phase ambiguity arising from the multivalued logarithm function. We demonstrate that the effective thickness of metamaterials can also be determined to a specific value by saturating the minimum-error condition for the causality restriction. Our causal homogenization provides a robust and accurate characterization method for metamaterials.

KW - causality

KW - effective medium theory

KW - homogenization

KW - metamaterials

KW - parameter retrieval method

UR - http://www.scopus.com/inward/record.url?scp=85067439989&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85067439989&partnerID=8YFLogxK

U2 - 10.1515/nanoph-2019-0069

DO - 10.1515/nanoph-2019-0069

M3 - Article

AN - SCOPUS:85067439989

VL - 8

SP - 1063

EP - 1069

JO - Nanophotonics

JF - Nanophotonics

SN - 2192-8606

IS - 6

ER -