Quantifying parameter uncertainties in optical scatterometry using Bayesian inversion

We present a Newton-like method to solve inverse problems and to quantify parameter uncertainties. We apply the method to parameter reconstruction in optical scatterometry, where we take into account a priori information and measurement uncertainties using a Bayesian approach. Further, we discuss th...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2017-07
Hauptverfasser: Hammerschmidt, M, Weiser, M, X Garcia Santiago, Zschiedrich, L, Bodermann, B, Burger, S
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue
container_start_page
container_title arXiv.org
container_volume
creator Hammerschmidt, M
Weiser, M
X Garcia Santiago
Zschiedrich, L
Bodermann, B
Burger, S
description We present a Newton-like method to solve inverse problems and to quantify parameter uncertainties. We apply the method to parameter reconstruction in optical scatterometry, where we take into account a priori information and measurement uncertainties using a Bayesian approach. Further, we discuss the influence of numerical accuracy on the reconstruction result.
doi_str_mv 10.48550/arxiv.1707.08467
format Article
fullrecord <record><control><sourceid>proquest_arxiv</sourceid><recordid>TN_cdi_arxiv_primary_1707_08467</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2075738291</sourcerecordid><originalsourceid>FETCH-LOGICAL-a521-1bf1cf5a04289cfd1062919e92290dd602037ad2b0ca4e37b9ab1c06c435e6373</originalsourceid><addsrcrecordid>eNotj8FKw0AQhhdBsNQ-gCcDnlNnZ7PZ5KhFrVAQoZ7DZLORLe0m7ibFvL3b1tMc_m_mn4-xOw7LrJASHsn_2uOSK1BLKLJcXbEZCsHTIkO8YYsQdgCAuUIpxYx9fY7kBttO1n0nPXk6mMH4ZHTa-IFsjExIrEu6frCa9knQNESgi5ifkjGc1p5pMsGSi9zR-GA7d8uuW9oHs_ifc7Z9fdmu1unm4-199bRJSSJPed1y3UqCDItStw2HHEtemhKxhKbJAUEoarAGTZkRqi6p5hpynQlpcqHEnN1fzp6dq97bA_mpOrlXZ_dIPFyI3nc_owlDtetG7-JPFYKSShSxUfwB1LJd2A</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2075738291</pqid></control><display><type>article</type><title>Quantifying parameter uncertainties in optical scatterometry using Bayesian inversion</title><source>arXiv.org</source><source>Free E- Journals</source><creator>Hammerschmidt, M ; Weiser, M ; X Garcia Santiago ; Zschiedrich, L ; Bodermann, B ; Burger, S</creator><creatorcontrib>Hammerschmidt, M ; Weiser, M ; X Garcia Santiago ; Zschiedrich, L ; Bodermann, B ; Burger, S</creatorcontrib><description>We present a Newton-like method to solve inverse problems and to quantify parameter uncertainties. We apply the method to parameter reconstruction in optical scatterometry, where we take into account a priori information and measurement uncertainties using a Bayesian approach. Further, we discuss the influence of numerical accuracy on the reconstruction result.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.1707.08467</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Bayesian analysis ; Inverse problems ; Newton methods ; Parameter uncertainty ; Physics - Computational Physics ; Physics - Optics ; Reconstruction</subject><ispartof>arXiv.org, 2017-07</ispartof><rights>2017. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,780,881,27902</link.rule.ids><backlink>$$Uhttps://doi.org/10.48550/arXiv.1707.08467$$DView paper in arXiv$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.1117/12.2270596$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink></links><search><creatorcontrib>Hammerschmidt, M</creatorcontrib><creatorcontrib>Weiser, M</creatorcontrib><creatorcontrib>X Garcia Santiago</creatorcontrib><creatorcontrib>Zschiedrich, L</creatorcontrib><creatorcontrib>Bodermann, B</creatorcontrib><creatorcontrib>Burger, S</creatorcontrib><title>Quantifying parameter uncertainties in optical scatterometry using Bayesian inversion</title><title>arXiv.org</title><description>We present a Newton-like method to solve inverse problems and to quantify parameter uncertainties. We apply the method to parameter reconstruction in optical scatterometry, where we take into account a priori information and measurement uncertainties using a Bayesian approach. Further, we discuss the influence of numerical accuracy on the reconstruction result.</description><subject>Bayesian analysis</subject><subject>Inverse problems</subject><subject>Newton methods</subject><subject>Parameter uncertainty</subject><subject>Physics - Computational Physics</subject><subject>Physics - Optics</subject><subject>Reconstruction</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><sourceid>GOX</sourceid><recordid>eNotj8FKw0AQhhdBsNQ-gCcDnlNnZ7PZ5KhFrVAQoZ7DZLORLe0m7ibFvL3b1tMc_m_mn4-xOw7LrJASHsn_2uOSK1BLKLJcXbEZCsHTIkO8YYsQdgCAuUIpxYx9fY7kBttO1n0nPXk6mMH4ZHTa-IFsjExIrEu6frCa9knQNESgi5ifkjGc1p5pMsGSi9zR-GA7d8uuW9oHs_ifc7Z9fdmu1unm4-199bRJSSJPed1y3UqCDItStw2HHEtemhKxhKbJAUEoarAGTZkRqi6p5hpynQlpcqHEnN1fzp6dq97bA_mpOrlXZ_dIPFyI3nc_owlDtetG7-JPFYKSShSxUfwB1LJd2A</recordid><startdate>20170725</startdate><enddate>20170725</enddate><creator>Hammerschmidt, M</creator><creator>Weiser, M</creator><creator>X Garcia Santiago</creator><creator>Zschiedrich, L</creator><creator>Bodermann, B</creator><creator>Burger, S</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>GOX</scope></search><sort><creationdate>20170725</creationdate><title>Quantifying parameter uncertainties in optical scatterometry using Bayesian inversion</title><author>Hammerschmidt, M ; Weiser, M ; X Garcia Santiago ; Zschiedrich, L ; Bodermann, B ; Burger, S</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a521-1bf1cf5a04289cfd1062919e92290dd602037ad2b0ca4e37b9ab1c06c435e6373</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Bayesian analysis</topic><topic>Inverse problems</topic><topic>Newton methods</topic><topic>Parameter uncertainty</topic><topic>Physics - Computational Physics</topic><topic>Physics - Optics</topic><topic>Reconstruction</topic><toplevel>online_resources</toplevel><creatorcontrib>Hammerschmidt, M</creatorcontrib><creatorcontrib>Weiser, M</creatorcontrib><creatorcontrib>X Garcia Santiago</creatorcontrib><creatorcontrib>Zschiedrich, L</creatorcontrib><creatorcontrib>Bodermann, B</creatorcontrib><creatorcontrib>Burger, S</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Hammerschmidt, M</au><au>Weiser, M</au><au>X Garcia Santiago</au><au>Zschiedrich, L</au><au>Bodermann, B</au><au>Burger, S</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Quantifying parameter uncertainties in optical scatterometry using Bayesian inversion</atitle><jtitle>arXiv.org</jtitle><date>2017-07-25</date><risdate>2017</risdate><eissn>2331-8422</eissn><abstract>We present a Newton-like method to solve inverse problems and to quantify parameter uncertainties. We apply the method to parameter reconstruction in optical scatterometry, where we take into account a priori information and measurement uncertainties using a Bayesian approach. Further, we discuss the influence of numerical accuracy on the reconstruction result.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.1707.08467</doi><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier EISSN: 2331-8422
ispartof arXiv.org, 2017-07
issn 2331-8422
language eng
recordid cdi_arxiv_primary_1707_08467
source arXiv.org; Free E- Journals
subjects Bayesian analysis
Inverse problems
Newton methods
Parameter uncertainty
Physics - Computational Physics
Physics - Optics
Reconstruction
title Quantifying parameter uncertainties in optical scatterometry using Bayesian inversion
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-31T19%3A34%3A19IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_arxiv&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Quantifying%20parameter%20uncertainties%20in%20optical%20scatterometry%20using%20Bayesian%20inversion&rft.jtitle=arXiv.org&rft.au=Hammerschmidt,%20M&rft.date=2017-07-25&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.1707.08467&rft_dat=%3Cproquest_arxiv%3E2075738291%3C/proquest_arxiv%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2075738291&rft_id=info:pmid/&rfr_iscdi=true