Determination of tip transfer function for quantitative MFM
using frequency domain filtering and least squares method

J 2019

Determination of tip transfer function for quantitative MFM using frequency domain filtering and least squares method

NEČAS, David; Petr KLAPETEK; Volker NEU; Marek HAVLÍČEK; Robert PUTTOCK et al.

Základní údaje

Originální název

Determination of tip transfer function for quantitative MFM using frequency domain filtering and least squares method

Autoři

NEČAS, David; Petr KLAPETEK; Volker NEU; Marek HAVLÍČEK; Robert PUTTOCK; Olga KAZAKOVA; Xiukun HU a Lenka ZAJÍČKOVÁ

Vydání

Scientific reports, LONDON, NATURE PUBLISHING GROUP, 2019, 2045-2322

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

20501 Materials engineering

Stát vydavatele

Velká Británie a Severní Irsko

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL

Impakt faktor

Impact factor: 3.998

Označené pro přenos do RIV

Ano

Kód RIV

RIV/00216224:14740/19:00115476

Organizační jednotka

Středoevropský technologický institut

Klíčová slova anglicky

MAGNETIC FORCE MICROSCOPY; L-CURVE; DECONVOLUTION; RESOLUTION; OPTIMIZATION; PARAMETERS

Štítky

rivok

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 4. 6. 2020 11:27, Mgr. Marie Novosadová Šípková, DiS.

Anotace

V originále

Magnetic force microscopy has unsurpassed capabilities in analysis of nanoscale and microscale magnetic samples and devices. Similar to other Scanning Probe Microscopy techniques, quantitative analysis remains a challenge. Despite large theoretical and practical progress in this area, present methods are seldom used due to their complexity and lack of systematic understanding of related uncertainties and recommended best practice. Use of the Tip Transfer Function (TTF) is a key concept in making Magnetic Force Microscopy measurements quantitative. We present a numerical study of several aspects of TTF reconstruction using multilayer samples with perpendicular magnetisation. We address the choice of numerical approach, impact of non-periodicity and windowing, suitable conventions for data normalisation and units, criteria for choice of regularisation parameter and experimental effects observed in real measurements. We present a simple regularisation parameter selection method based on TTF width and verify this approach via numerical experiments. Examples of TTF estimation are shown on both 2D and 3D experimental datasets. We give recommendations on best practices for robust TTF estimation, including the choice of windowing function, measurement strategy and dealing with experimental error sources. A method for synthetic MFM data generation, suitable for large scale numerical experiments is also presented.

Citovat

NEČAS, David; Petr KLAPETEK; Volker NEU; Marek HAVLÍČEK; Robert PUTTOCK; Olga KAZAKOVA; Xiukun HU a Lenka ZAJÍČKOVÁ. Determination of tip transfer function for quantitative MFM using frequency domain filtering and least squares method. Scientific reports. LONDON: NATURE PUBLISHING GROUP, 2019, roč. 9, MAR 7 2019, s. 1-15. ISSN 2045-2322. Dostupné z: https://doi.org/10.1038/s41598-019-40477-x.

@article{1642159,
   author = {Nečas, David and Klapetek, Petr and Neu, Volker and Havlíček, Marek and Puttock, Robert and Kazakova, Olga and Hu, Xiukun and Zajíčková, Lenka},
   article_location = {LONDON},
   article_number = {MAR 7 2019},
   doi = {https://doi.org/10.1038/s41598-019-40477-x},
   keywords = {MAGNETIC FORCE MICROSCOPY; L-CURVE; DECONVOLUTION; RESOLUTION; OPTIMIZATION; PARAMETERS},
   language = {eng},
   issn = {2045-2322},
   journal = {Scientific reports},
   title = {Determination of tip transfer function for quantitative MFM using frequency domain filtering and least squares method},
   url = {https://www.nature.com/articles/s41598-019-40477-x},
   volume = {9},
   year = {2019}
}

TY  - JOUR
ID  - 1642159
AU  - Nečas, David - Klapetek, Petr - Neu, Volker - Havlíček, Marek - Puttock, Robert - Kazakova, Olga - Hu, Xiukun - Zajíčková, Lenka
PY  - 2019
TI  - Determination of tip transfer function for quantitative MFM using frequency domain filtering and least squares method
JF  - Scientific reports
VL  - 9
IS  - MAR 7 2019
SP  - 1-15
EP  - 1-15
PB  - NATURE PUBLISHING GROUP
SN  - 20452322
KW  - MAGNETIC FORCE MICROSCOPY
KW  - L-CURVE
KW  - DECONVOLUTION
KW  - RESOLUTION
KW  - OPTIMIZATION
KW  - PARAMETERS
UR  - https://www.nature.com/articles/s41598-019-40477-x
L2  - https://www.nature.com/articles/s41598-019-40477-x
N2  - Magnetic force microscopy has unsurpassed capabilities in analysis of nanoscale and microscale magnetic samples and devices. Similar to other Scanning Probe Microscopy techniques, quantitative analysis remains a challenge. Despite large theoretical and practical progress in this area, present methods are seldom used due to their complexity and lack of systematic understanding of related uncertainties and recommended best practice. Use of the Tip Transfer Function (TTF) is a key concept in making Magnetic Force Microscopy measurements quantitative. We present a numerical study of several aspects of TTF reconstruction using multilayer samples with perpendicular magnetisation. We address the choice of numerical approach, impact of non-periodicity and windowing, suitable conventions for data normalisation and units, criteria for choice of regularisation parameter and experimental effects observed in real measurements. We present a simple regularisation parameter selection method based on TTF width and verify this approach via numerical experiments. Examples of TTF estimation are shown on both 2D and 3D experimental datasets. We give recommendations on best practices for robust TTF estimation, including the choice of windowing function, measurement strategy and dealing with experimental error sources. A method for synthetic MFM data generation, suitable for large scale numerical experiments is also presented.
ER  -

NEČAS, David; Petr KLAPETEK; Volker NEU; Marek HAVLÍČEK; Robert PUTTOCK; Olga KAZAKOVA; Xiukun HU a Lenka ZAJÍČKOVÁ. Determination of tip transfer function for quantitative MFM using frequency domain filtering and least squares method. \textit{Scientific reports}. LONDON: NATURE PUBLISHING GROUP, 2019, roč.~9, MAR 7 2019, s.~1-15. ISSN~2045-2322. Dostupné z: https://doi.org/10.1038/s41598-019-40477-x.

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