Characterization and Monte Carlo evaluation of positioning uncertainty of an MAFM

Nanometrin skaalan pituus-mittaukset pohjautuvat jäljitettävyyteen, ja SI-järjestelmän metriin. Atomivoimamikroskooppeja (AFM) käytetään pintojen mittaukseen alle nanometrin erottelukyvyllä. Metrologiset AFM:t (MAFM:t) käyttävät interferometrejä paikan määritykseen, jolloin pinta-mittauksen ovat suo...

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Main Author: Nysten, Johan
Other Authors: Matemaattis-luonnontieteellinen tiedekunta, Faculty of Sciences, Fysiikan laitos, Department of Physics, Jyväskylän yliopisto, University of Jyväskylä
Format: Master's thesis
Language:eng
Published: 2019
Subjects:
Online Access: https://jyx.jyu.fi/handle/123456789/62847
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author Nysten, Johan
author2 Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics Jyväskylän yliopisto University of Jyväskylä
author_facet Nysten, Johan Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics Jyväskylän yliopisto University of Jyväskylä Nysten, Johan Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics Jyväskylän yliopisto University of Jyväskylä
author_sort Nysten, Johan
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description Nanometrin skaalan pituus-mittaukset pohjautuvat jäljitettävyyteen, ja SI-järjestelmän metriin. Atomivoimamikroskooppeja (AFM) käytetään pintojen mittaukseen alle nanometrin erottelukyvyllä. Metrologiset AFM:t (MAFM:t) käyttävät interferometrejä paikan määritykseen, jolloin pinta-mittauksen ovat suoraan jäljitettäviä. MIKES MAFM jatkokehitettiin EMPIR-aloitteen 3DNano-projektin puitteissa. Tässä gradussa laitteen suurimmat epävarmuuden lähteet kartoitettiin ja mallinnettiin. Järjestelmää kuvaava malli kehitettiin Matlab:illa. Järjestelmän mallin avulla laskettiin, Monte Carlo–menetelmää käyttäen, 3D kordinaatiston epävarmuudet. Joitain epävarmuuden lähteitä ei mallinnettu, mutta näitä tarkasteltiin silti laadullisesti. Alustavat tulokset laskettiin ohjelmallisesti tuotetulle 2D hilarakenteelle, 1 × 105 Monte Carlo –iteraatiolla. Lasketut epävarmuudet jäivät nm-suuruusluokkaan. Järjestelmän mallin kehitys tulee jatkumaan, jolloin tavoitteeksi tulee mittasuureen epävarmuuden laskeminen, esim. hilan jaksolle tai askelkorkeudelle. Traceability to the SI metre is the basis for dimensional measurements in the nanometer scale. Atom Force Microscopes (AFMs) are used to measure surface features with subnanometre resolution. Metrological AFMs (MAFMs) use interferometers for positioning, making surface measurements directly traceable. The MIKES MAFM was further developed under the EMPIR initiative’s 3DNano project. The device’s largest uncertainty sources were characterized and modeled as part of this thesis, and used to construct a system model in Matlab. Evaluating the system model using a simple Monte Carlo method gives us the standard uncertainty components for 3D positioning. Some uncertainty sources, such as interferometer target mirror flatness, were qualitatively analyzed but not modeled. Preliminary results were generated using surface points of computer-generated 2D lattice, and 1 × 105 Monte Carlo trials. The computed uncertainties were all in the nm range. Development of the model will continue, with the goal of evaluating uncertainty for a measurand such as grating pitch or step height.
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spellingShingle Nysten, Johan Characterization and Monte Carlo evaluation of positioning uncertainty of an MAFM Soveltava fysiikka Applied Physics 4023 metrologia mittaus epävarmuus pinnat metrology measurement uncertainty surfaces
title Characterization and Monte Carlo evaluation of positioning uncertainty of an MAFM
title_full Characterization and Monte Carlo evaluation of positioning uncertainty of an MAFM
title_fullStr Characterization and Monte Carlo evaluation of positioning uncertainty of an MAFM Characterization and Monte Carlo evaluation of positioning uncertainty of an MAFM
title_full_unstemmed Characterization and Monte Carlo evaluation of positioning uncertainty of an MAFM Characterization and Monte Carlo evaluation of positioning uncertainty of an MAFM
title_short Characterization and Monte Carlo evaluation of positioning uncertainty of an MAFM
title_sort characterization and monte carlo evaluation of positioning uncertainty of an mafm
title_txtP Characterization and Monte Carlo evaluation of positioning uncertainty of an MAFM
topic Soveltava fysiikka Applied Physics 4023 metrologia mittaus epävarmuus pinnat metrology measurement uncertainty surfaces
topic_facet 4023 Applied Physics Soveltava fysiikka epävarmuus measurement metrologia metrology mittaus pinnat surfaces uncertainty
url https://jyx.jyu.fi/handle/123456789/62847 http://www.urn.fi/URN:NBN:fi:jyu-201902191567
work_keys_str_mv AT nystenjohan characterizationandmontecarloevaluationofpositioninguncertaintyofanmafm