Bloch-mode analysis for effective parameters restoration

Andrei Lavrinenko; Andrei Andryieuski; Sangwoo Ha; Andrey A. Sukhorukov; Yuri S. Kivshar

doi:10.1063/1.4750122

Bloch-mode analysis for effective parameters restoration

Andrei Lavrinenko, Andrei Andryieuski, Sangwoo Ha, Andrey A. Sukhorukov, Yuri S. Kivshar

Australian National University

Research output: Chapter in Book/Report/Conference proceeding › Conference abstract in proceedings › Research › peer-review

Abstract

We utilize the Bloch-mode analysis of periodic composite structures to introduce an approach for retrieving effective parameters of homogenized metamaterials. In the case of single-mode propagation we can restore a complex effective refractive index with a high accuracy. By further employing surface or volume averaging of the electromagnetic fields of the dominating (fundamental) Bloch modes we are able to determine the Bloch and wave impedances, leading to wave and material effective parameters, respectively. The approach is demonstrated on several examples. We focus our discussion on the nature of microfields returned by Maxwell's solvers, showing that ignoring of difference between magnetic strength and induction lead to incorrect determination of the Poynting vector.

Original language	English
Title of host publication	AIP Conference Proceedings
Volume	1475
Publisher	American Institute of Physics
Publication date	2012
Pages	140-142
ISBN (Print)	978-0-7354-1084-8
DOIs	https://doi.org/10.1063/1.4750122
Publication status	Published - 2012
Event	5th International Workshop on Theoretical and Computational Nano-Photonics: TaCoNa-Photonics 2012 - Bad Honnef, Germany Duration: 24 Oct 2012 → 26 Oct 2012 http://www.tacona-photonics.org/

Conference

Conference	5th International Workshop on Theoretical and Computational Nano-Photonics
Country/Territory	Germany
City	Bad Honnef
Period	24/10/2012 → 26/10/2012
Internet address	http://www.tacona-photonics.org/

Series	A I P Conference Proceedings Series
ISSN	0094-243X

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title = "Bloch-mode analysis for effective parameters restoration",

abstract = "We utilize the Bloch-mode analysis of periodic composite structures to introduce an approach for retrieving effective parameters of homogenized metamaterials. In the case of single-mode propagation we can restore a complex effective refractive index with a high accuracy. By further employing surface or volume averaging of the electromagnetic fields of the dominating (fundamental) Bloch modes we are able to determine the Bloch and wave impedances, leading to wave and material effective parameters, respectively. The approach is demonstrated on several examples. We focus our discussion on the nature of microfields returned by Maxwell's solvers, showing that ignoring of difference between magnetic strength and induction lead to incorrect determination of the Poynting vector.",

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Lavrinenko, A, Andryieuski, A, Ha, S, Sukhorukov, AA & Kivshar, YS 2012, Bloch-mode analysis for effective parameters restoration. in AIP Conference Proceedings. vol. 1475, American Institute of Physics, A I P Conference Proceedings Series, pp. 140-142, 5th International Workshop on Theoretical and Computational Nano-Photonics, Bad Honnef, Germany, 24/10/2012. https://doi.org/10.1063/1.4750122

Bloch-mode analysis for effective parameters restoration. / Lavrinenko, Andrei; Andryieuski, Andrei; Ha, Sangwoo et al.
AIP Conference Proceedings. Vol. 1475 American Institute of Physics, 2012. p. 140-142 (A I P Conference Proceedings Series).

Research output: Chapter in Book/Report/Conference proceeding › Conference abstract in proceedings › Research › peer-review

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T1 - Bloch-mode analysis for effective parameters restoration

AU - Lavrinenko, Andrei

AU - Andryieuski, Andrei

AU - Ha, Sangwoo

AU - Sukhorukov, Andrey A.

AU - Kivshar, Yuri S.

PY - 2012

Y1 - 2012

N2 - We utilize the Bloch-mode analysis of periodic composite structures to introduce an approach for retrieving effective parameters of homogenized metamaterials. In the case of single-mode propagation we can restore a complex effective refractive index with a high accuracy. By further employing surface or volume averaging of the electromagnetic fields of the dominating (fundamental) Bloch modes we are able to determine the Bloch and wave impedances, leading to wave and material effective parameters, respectively. The approach is demonstrated on several examples. We focus our discussion on the nature of microfields returned by Maxwell's solvers, showing that ignoring of difference between magnetic strength and induction lead to incorrect determination of the Poynting vector.

AB - We utilize the Bloch-mode analysis of periodic composite structures to introduce an approach for retrieving effective parameters of homogenized metamaterials. In the case of single-mode propagation we can restore a complex effective refractive index with a high accuracy. By further employing surface or volume averaging of the electromagnetic fields of the dominating (fundamental) Bloch modes we are able to determine the Bloch and wave impedances, leading to wave and material effective parameters, respectively. The approach is demonstrated on several examples. We focus our discussion on the nature of microfields returned by Maxwell's solvers, showing that ignoring of difference between magnetic strength and induction lead to incorrect determination of the Poynting vector.

U2 - 10.1063/1.4750122

DO - 10.1063/1.4750122

M3 - Conference abstract in proceedings

SN - 978-0-7354-1084-8

VL - 1475

T3 - A I P Conference Proceedings Series

SP - 140

EP - 142

BT - AIP Conference Proceedings

PB - American Institute of Physics

T2 - 5th International Workshop on Theoretical and Computational Nano-Photonics

Y2 - 24 October 2012 through 26 October 2012

ER -

Bloch-mode analysis for effective parameters restoration

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