Data Analysis for Nanomaterials: Effective Medium
Approximation, Its Limits and Implementations

C 2013

Data Analysis for Nanomaterials: Effective Medium Approximation, Its Limits and Implementations

HUMLÍČEK, Josef

Basic information

Original name

Data Analysis for Nanomaterials: Effective Medium Approximation, Its Limits and Implementations

Authors

HUMLÍČEK, Josef (203 Czech Republic, guarantor, belonging to the institution)

Edition

Berlin, Ellipsometry at the Nanoscale, p. 145-178, 34 pp. 2013

Publisher

Springer

Other information

Language

English

Type of outcome

Chapter(s) of a specialized book

Field of Study

10302 Condensed matter physics

Country of publisher

Germany

Confidentiality degree

is not subject to a state or trade secret

Publication form

printed version "print"

References:

URL

RIV identification code

RIV/00216224:14740/13:00068200

Organization unit

Central European Institute of Technology

ISBN

978-3-642-33955-4

DOI

http://dx.doi.org/10.1007/978-3-642-33956-1_3

Keywords in English

optical spectra; effective medium

Abstract

V originále

We review here basic theoretical approaches to the optical response of nanostructured materials. We use the well established framework of Effective medium approximation (EMA) and discuss key issues of its use. The treatment of this extensive subject is adapted to the needs of ellipsometric/polarimetric measurements on nanostructured materials. In Sects. 3.1 and 3.2 we formulate the problems and establish notation. Then, we recall and discuss, in Sects. 3.3 and 3.4, several well-known formulae for the effective dielectric function. Sections 3.5 and 3.6 are devoted to a fairly detailed comparison of selected measured data with results of the EMA models. We also assess the uncertainties involved in the EMA approach by visualizing the differences between results of its different versions (Sect. 3.7) and by calculating the differences from exact solutions (Sect. 3.8). Finally, Sect. 3.9 is devoted to the discussion of possible resonant behaviour of EMA mixtures.

Links

ED1.1.00/02.0068, research and development project

Name: CEITEC - central european institute of technology

MSM0021622410, plan (intention)

Name: Fyzikální a chemické vlastnosti pokročilých materiálů a struktur

Investor: Ministry of Education, Youth and Sports of the CR, Physical and chemical properties of advanced materials and structures

Cite

HUMLÍČEK, Josef. Data Analysis for Nanomaterials: Effective Medium Approximation, Its Limits and Implementations. In Maria Losurdo; Kurt Hingerl. Ellipsometry at the Nanoscale. Berlin: Springer, 2013, p. 145-178. ISBN 978-3-642-33955-4. Available from: https://dx.doi.org/10.1007/978-3-642-33956-1_3.

@inbook{1104912,
   author = {Humlíček, Josef},
   address = {Berlin},
   booktitle = {Ellipsometry at the Nanoscale},
   doi = {http://dx.doi.org/10.1007/978-3-642-33956-1_3},
   editor = {Maria Losurdo; Kurt Hingerl},
   keywords = {optical spectra; effective medium},
   howpublished = {tištěná verze "print"},
   language = {eng},
   location = {Berlin},
   isbn = {978-3-642-33955-4},
   pages = {145-178},
   publisher = {Springer},
   title = {Data Analysis for Nanomaterials: Effective Medium Approximation, Its Limits and Implementations},
   url = {http://www.springer.com/engineering/book/978-3-642-33955-4},
   year = {2013}
}

TY  - CHAP
ID  - 1104912
AU  - Humlíček, Josef
PY  - 2013
TI  - Data Analysis for Nanomaterials: Effective Medium Approximation, Its Limits and Implementations
VL  - Neuveden
PB  - Springer
CY  - Berlin
SN  - 9783642339554
KW  - optical spectra
KW  - effective medium
UR  - http://www.springer.com/engineering/book/978-3-642-33955-4
L2  - http://www.springer.com/engineering/book/978-3-642-33955-4
N2  - We review here basic theoretical approaches to the optical response of nanostructured materials. We use the well established framework of Effective medium approximation (EMA) and discuss key issues of its use. The treatment of this extensive subject is adapted to the needs of ellipsometric/polarimetric measurements on nanostructured materials. In Sects. 3.1 and 3.2 we formulate the problems and establish notation. Then, we recall and discuss, in Sects. 3.3 and 3.4, several well-known formulae for the effective dielectric function. Sections 3.5 and 3.6 are devoted to a fairly detailed comparison of selected measured data with results of the EMA models. We also assess the uncertainties involved in the EMA approach by visualizing the differences between results of its different versions (Sect. 3.7) and by calculating the differences from exact solutions (Sect. 3.8). Finally, Sect. 3.9 is devoted to the discussion of possible resonant behaviour of EMA mixtures.
ER  -

HUMLÍČEK, Josef. Data Analysis for Nanomaterials: Effective Medium Approximation, Its Limits and Implementations. In Maria Losurdo; Kurt Hingerl. \textit{Ellipsometry at the Nanoscale}. Berlin: Springer, 2013, p.~145-178. ISBN~978-3-642-33955-4. Available from: https://dx.doi.org/10.1007/978-3-642-33956-1\_{}3.

Přehled o publikaci