Measurement of the diffusion coefficient in liquids using Fresnel diffraction from a phase step

In this paper, we use Fresnel diffraction from a phase step in transmission to measure the diffusion coefficient in a transparent liquid. A transparent glass plate immersed vertically in a cell containing two diffusing liquids makes a phase step in transmission. When it is illuminated by a parallel...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Applied physics. B, Lasers and optics Lasers and optics, 2021-08, Vol.127 (8), Article 107
Hauptverfasser: Saber, Ahad, Tavassoly, Mohammad Taghi, Aalipour, Rasoul
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue 8
container_start_page
container_title Applied physics. B, Lasers and optics
container_volume 127
creator Saber, Ahad
Tavassoly, Mohammad Taghi
Aalipour, Rasoul
description In this paper, we use Fresnel diffraction from a phase step in transmission to measure the diffusion coefficient in a transparent liquid. A transparent glass plate immersed vertically in a cell containing two diffusing liquids makes a phase step in transmission. When it is illuminated by a parallel beam of light, the diffraction pattern is formed on a screen perpendicular to the direction of the light beam. The diffusion of liquids inside the cell leads to the variation of the diffraction pattern along the edge of the glass plate. The refractive index gradient in the liquids is then obtained by analyzing the diffraction patterns at different times after the beginning of the diffusion process. We then get the diffusion coefficient from the measured gradient. Using this method, we study the diffusion process of the sucrose-water solution and report the diffusion coefficient with a reliable accuracy.
doi_str_mv 10.1007/s00340-021-07655-0
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2548644586</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2548644586</sourcerecordid><originalsourceid>FETCH-LOGICAL-c363t-43faf33fc6ee211cc0a8e5973deba9d96e2ab8ce03e24164eafb994cd532f9323</originalsourceid><addsrcrecordid>eNp9kD1PwzAQhi0EEqXwB5gsMRvOH3HiEVV8SUUsMFuuc25dtUlqJwP_nrRBYuOWG-5535MeQm453HOA8iEDSAUMBGdQ6qJgcEZmXEnBQCtzTmZglGaCl_ySXOW8hXF0Vc2IfUeXh4R7bHraBtpvkNYxhCHHtqG-xRCij8djbOguHoZYZzoemzV9Tpgb3J3w5Hx_DITU7qmj3cZlpLnH7ppcBLfLePO75-Tr-elz8cqWHy9vi8cl81LLnikZXJAyeI0oOPceXIWFKWWNK2dqo1G4VeURJArFtUIXVsYoXxdSBCOFnJO7qbdL7WHA3NttO6RmfGlFoSqtVFHpkRIT5VObc8JguxT3Ln1bDvYo0k4i7SjSnkRaGENyCuURbtaY_qr_Sf0ACjt3iA</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2548644586</pqid></control><display><type>article</type><title>Measurement of the diffusion coefficient in liquids using Fresnel diffraction from a phase step</title><source>SpringerLink Journals - AutoHoldings</source><creator>Saber, Ahad ; Tavassoly, Mohammad Taghi ; Aalipour, Rasoul</creator><creatorcontrib>Saber, Ahad ; Tavassoly, Mohammad Taghi ; Aalipour, Rasoul</creatorcontrib><description>In this paper, we use Fresnel diffraction from a phase step in transmission to measure the diffusion coefficient in a transparent liquid. A transparent glass plate immersed vertically in a cell containing two diffusing liquids makes a phase step in transmission. When it is illuminated by a parallel beam of light, the diffraction pattern is formed on a screen perpendicular to the direction of the light beam. The diffusion of liquids inside the cell leads to the variation of the diffraction pattern along the edge of the glass plate. The refractive index gradient in the liquids is then obtained by analyzing the diffraction patterns at different times after the beginning of the diffusion process. We then get the diffusion coefficient from the measured gradient. Using this method, we study the diffusion process of the sucrose-water solution and report the diffusion coefficient with a reliable accuracy.</description><identifier>ISSN: 0946-2171</identifier><identifier>EISSN: 1432-0649</identifier><identifier>DOI: 10.1007/s00340-021-07655-0</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Applied physics ; Diffraction patterns ; Diffusion ; Diffusion coefficient ; Engineering ; Fresnel diffraction ; Glass plates ; Lasers ; Light beams ; Light diffraction ; Liquids ; Optical Devices ; Optics ; Oxidation ; Photonics ; Physical Chemistry ; Physics ; Physics and Astronomy ; Quantum Optics ; Refractivity</subject><ispartof>Applied physics. B, Lasers and optics, 2021-08, Vol.127 (8), Article 107</ispartof><rights>The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021</rights><rights>The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c363t-43faf33fc6ee211cc0a8e5973deba9d96e2ab8ce03e24164eafb994cd532f9323</citedby><cites>FETCH-LOGICAL-c363t-43faf33fc6ee211cc0a8e5973deba9d96e2ab8ce03e24164eafb994cd532f9323</cites><orcidid>0000-0002-8879-9878</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s00340-021-07655-0$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00340-021-07655-0$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27923,27924,41487,42556,51318</link.rule.ids></links><search><creatorcontrib>Saber, Ahad</creatorcontrib><creatorcontrib>Tavassoly, Mohammad Taghi</creatorcontrib><creatorcontrib>Aalipour, Rasoul</creatorcontrib><title>Measurement of the diffusion coefficient in liquids using Fresnel diffraction from a phase step</title><title>Applied physics. B, Lasers and optics</title><addtitle>Appl. Phys. B</addtitle><description>In this paper, we use Fresnel diffraction from a phase step in transmission to measure the diffusion coefficient in a transparent liquid. A transparent glass plate immersed vertically in a cell containing two diffusing liquids makes a phase step in transmission. When it is illuminated by a parallel beam of light, the diffraction pattern is formed on a screen perpendicular to the direction of the light beam. The diffusion of liquids inside the cell leads to the variation of the diffraction pattern along the edge of the glass plate. The refractive index gradient in the liquids is then obtained by analyzing the diffraction patterns at different times after the beginning of the diffusion process. We then get the diffusion coefficient from the measured gradient. Using this method, we study the diffusion process of the sucrose-water solution and report the diffusion coefficient with a reliable accuracy.</description><subject>Applied physics</subject><subject>Diffraction patterns</subject><subject>Diffusion</subject><subject>Diffusion coefficient</subject><subject>Engineering</subject><subject>Fresnel diffraction</subject><subject>Glass plates</subject><subject>Lasers</subject><subject>Light beams</subject><subject>Light diffraction</subject><subject>Liquids</subject><subject>Optical Devices</subject><subject>Optics</subject><subject>Oxidation</subject><subject>Photonics</subject><subject>Physical Chemistry</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Optics</subject><subject>Refractivity</subject><issn>0946-2171</issn><issn>1432-0649</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNp9kD1PwzAQhi0EEqXwB5gsMRvOH3HiEVV8SUUsMFuuc25dtUlqJwP_nrRBYuOWG-5535MeQm453HOA8iEDSAUMBGdQ6qJgcEZmXEnBQCtzTmZglGaCl_ySXOW8hXF0Vc2IfUeXh4R7bHraBtpvkNYxhCHHtqG-xRCij8djbOguHoZYZzoemzV9Tpgb3J3w5Hx_DITU7qmj3cZlpLnH7ppcBLfLePO75-Tr-elz8cqWHy9vi8cl81LLnikZXJAyeI0oOPceXIWFKWWNK2dqo1G4VeURJArFtUIXVsYoXxdSBCOFnJO7qbdL7WHA3NttO6RmfGlFoSqtVFHpkRIT5VObc8JguxT3Ln1bDvYo0k4i7SjSnkRaGENyCuURbtaY_qr_Sf0ACjt3iA</recordid><startdate>20210801</startdate><enddate>20210801</enddate><creator>Saber, Ahad</creator><creator>Tavassoly, Mohammad Taghi</creator><creator>Aalipour, Rasoul</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0002-8879-9878</orcidid></search><sort><creationdate>20210801</creationdate><title>Measurement of the diffusion coefficient in liquids using Fresnel diffraction from a phase step</title><author>Saber, Ahad ; Tavassoly, Mohammad Taghi ; Aalipour, Rasoul</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c363t-43faf33fc6ee211cc0a8e5973deba9d96e2ab8ce03e24164eafb994cd532f9323</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Applied physics</topic><topic>Diffraction patterns</topic><topic>Diffusion</topic><topic>Diffusion coefficient</topic><topic>Engineering</topic><topic>Fresnel diffraction</topic><topic>Glass plates</topic><topic>Lasers</topic><topic>Light beams</topic><topic>Light diffraction</topic><topic>Liquids</topic><topic>Optical Devices</topic><topic>Optics</topic><topic>Oxidation</topic><topic>Photonics</topic><topic>Physical Chemistry</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Optics</topic><topic>Refractivity</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Saber, Ahad</creatorcontrib><creatorcontrib>Tavassoly, Mohammad Taghi</creatorcontrib><creatorcontrib>Aalipour, Rasoul</creatorcontrib><collection>CrossRef</collection><jtitle>Applied physics. B, Lasers and optics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Saber, Ahad</au><au>Tavassoly, Mohammad Taghi</au><au>Aalipour, Rasoul</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Measurement of the diffusion coefficient in liquids using Fresnel diffraction from a phase step</atitle><jtitle>Applied physics. B, Lasers and optics</jtitle><stitle>Appl. Phys. B</stitle><date>2021-08-01</date><risdate>2021</risdate><volume>127</volume><issue>8</issue><artnum>107</artnum><issn>0946-2171</issn><eissn>1432-0649</eissn><abstract>In this paper, we use Fresnel diffraction from a phase step in transmission to measure the diffusion coefficient in a transparent liquid. A transparent glass plate immersed vertically in a cell containing two diffusing liquids makes a phase step in transmission. When it is illuminated by a parallel beam of light, the diffraction pattern is formed on a screen perpendicular to the direction of the light beam. The diffusion of liquids inside the cell leads to the variation of the diffraction pattern along the edge of the glass plate. The refractive index gradient in the liquids is then obtained by analyzing the diffraction patterns at different times after the beginning of the diffusion process. We then get the diffusion coefficient from the measured gradient. Using this method, we study the diffusion process of the sucrose-water solution and report the diffusion coefficient with a reliable accuracy.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/s00340-021-07655-0</doi><orcidid>https://orcid.org/0000-0002-8879-9878</orcidid><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 0946-2171
ispartof Applied physics. B, Lasers and optics, 2021-08, Vol.127 (8), Article 107
issn 0946-2171
1432-0649
language eng
recordid cdi_proquest_journals_2548644586
source SpringerLink Journals - AutoHoldings
subjects Applied physics
Diffraction patterns
Diffusion
Diffusion coefficient
Engineering
Fresnel diffraction
Glass plates
Lasers
Light beams
Light diffraction
Liquids
Optical Devices
Optics
Oxidation
Photonics
Physical Chemistry
Physics
Physics and Astronomy
Quantum Optics
Refractivity
title Measurement of the diffusion coefficient in liquids using Fresnel diffraction from a phase step
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-11T04%3A48%3A07IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Measurement%20of%20the%20diffusion%20coefficient%20in%20liquids%20using%20Fresnel%20diffraction%20from%20a%20phase%20step&rft.jtitle=Applied%20physics.%20B,%20Lasers%20and%20optics&rft.au=Saber,%20Ahad&rft.date=2021-08-01&rft.volume=127&rft.issue=8&rft.artnum=107&rft.issn=0946-2171&rft.eissn=1432-0649&rft_id=info:doi/10.1007/s00340-021-07655-0&rft_dat=%3Cproquest_cross%3E2548644586%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2548644586&rft_id=info:pmid/&rfr_iscdi=true