Determination of tip transfer function for quantitative MFM using frequency domain filtering and least squares method. / Nečas, David; Klapetek, Petr; Neu, Volker; Havlíček, Marek ; Puttock, Robert; Kazakova, Olga; Hu, Xiukun; Zajíčková, Lenka.

In: Scientific Reports, Vol. 9, 3880, 07.03.2019, p. 1-15.

Research output: Contribution to journalArticle

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Determination of tip transfer function for quantitative MFM using frequency domain filtering and least squares method. / Nečas, David; Klapetek, Petr; Neu, Volker; Havlíček, Marek ; Puttock, Robert; Kazakova, Olga; Hu, Xiukun; Zajíčková, Lenka.

In: Scientific Reports, Vol. 9, 3880, 07.03.2019, p. 1-15.

Research output: Contribution to journalArticle

Harvard

Nečas, D, Klapetek, P, Neu, V, Havlíček, M, Puttock, R, Kazakova, O, Hu, X & Zajíčková, L 2019, 'Determination of tip transfer function for quantitative MFM using frequency domain filtering and least squares method', Scientific Reports, vol. 9, 3880, pp. 1-15. https://doi.org/10.1038/s41598-019-40477-x

APA

Nečas, D., Klapetek, P., Neu, V., Havlíček, M., Puttock, R., Kazakova, O., ... Zajíčková, L. (2019). Determination of tip transfer function for quantitative MFM using frequency domain filtering and least squares method. Scientific Reports, 9, 1-15. [3880]. https://doi.org/10.1038/s41598-019-40477-x

Vancouver

Author

Nečas, David ; Klapetek, Petr ; Neu, Volker ; Havlíček, Marek ; Puttock, Robert ; Kazakova, Olga ; Hu, Xiukun ; Zajíčková, Lenka. / Determination of tip transfer function for quantitative MFM using frequency domain filtering and least squares method. In: Scientific Reports. 2019 ; Vol. 9. pp. 1-15.

BibTeX

@article{291fa85398c345b5a73ce04bc70ee738,
title = "Determination of tip transfer function for quantitative MFM using frequency domain filtering and least squares method",
abstract = "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.",
author = "David Nečas and Petr Klapetek and Volker Neu and Marek Havl{\'i}ček and Robert Puttock and Olga Kazakova and Xiukun Hu and Lenka Zaj{\'i}čkov{\'a}",
year = "2019",
month = "3",
day = "7",
doi = "10.1038/s41598-019-40477-x",
language = "English",
volume = "9",
pages = "1--15",
journal = "Scientific Reports",
issn = "2045-2322",
publisher = "Nature Publishing Group",

}

RIS

TY - JOUR

T1 - Determination of tip transfer function for quantitative MFM using frequency domain filtering and least squares method

AU - Nečas, David

AU - Klapetek, Petr

AU - Neu, Volker

AU - Havlíček, Marek

AU - Puttock, Robert

AU - Kazakova, Olga

AU - Hu, Xiukun

AU - Zajíčková, Lenka

PY - 2019/3/7

Y1 - 2019/3/7

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.

AB - 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.

U2 - 10.1038/s41598-019-40477-x

DO - 10.1038/s41598-019-40477-x

M3 - Article

VL - 9

SP - 1

EP - 15

JO - Scientific Reports

JF - Scientific Reports

SN - 2045-2322

M1 - 3880

ER -