Publication detail

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

NEČAS, D. KLAPETEK, P. NEU, V. HAVLÍČEK, M. PUTTOCK, R. KAZAKOVA, O. HU, X. ZAJÍČKOVÁ, L.

Original Title

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

Type

journal article in Web of Science

Language

English

Original 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.

Keywords

Magnetic Force Microscopy; Point Spread Function; Tip Transfer Function; quantitative measurements; uncertainty

Authors

NEČAS, D.; KLAPETEK, P.; NEU, V.; HAVLÍČEK, M.; PUTTOCK, R.; KAZAKOVA, O.; HU, X.; ZAJÍČKOVÁ, L.

Released

7. 3. 2019

Publisher

NATURE PUBLISHING GROUP

Location

LONDON

ISBN

2045-2322

Periodical

Scientific Reports

Number

9

State

United Kingdom of Great Britain and Northern Ireland

Pages from

1

Pages to

15

Pages count

15

URL

https://www.nature.com/articles/s41598-019-40477-x

BibTex

@article{BUT160887,
  author="David {Nečas} and Petr {Klapetek} and Volker {Neu} and Marek {Havlíček} and Robert {Puttock} and Olga {Kazakova} and Xiukun {Hu} and Lenka {Zajíčková}",
  title="Determination of tip transfer function for quantitative MFM using frequency domain filtering and least squares method",
  journal="Scientific Reports",
  year="2019",
  number="9",
  pages="1--15",
  doi="10.1038/s41598-019-40477-x",
  issn="2045-2322",
  url="https://www.nature.com/articles/s41598-019-40477-x"
}