Propagation of photon-density waves in strongly scattering media containing an absorbing semi-infinite plane bounded by a straight edge
Light propagation in strongly scattering media can be described by the diffusion approximation to the Boltzmann transport equation. We have derived analytical expressions based on the diffusion approximation that describe the photon density in a uniform, infinite, strongly scattering medium that con...
Gespeichert in:
| Veröffentlicht in: | Journal of the Optical Society of America. A, Optics and image science Optics and image science, 1993-01, Vol.10 (1), p.127 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | 1 |
| container_start_page | 127 |
| container_title | Journal of the Optical Society of America. A, Optics and image science |
| container_volume | 10 |
| creator | Fishkin, J B Gratton, E |
| description | Light propagation in strongly scattering media can be described by the diffusion approximation to the Boltzmann transport equation. We have derived analytical expressions based on the diffusion approximation that describe the photon density in a uniform, infinite, strongly scattering medium that contains a sinusoidally intensity-modulated point source of light. These expressions predict that the photon density will propagate outward from the light source as a spherical wave of constant phase velocity with an amplitude that attenuates with distance r from the source as exp(-alpha r)/r. The properties of the photon-density wave are given in terms of the spectral properties of the scattering medium. We have used the Green's function obtained from the diffusion approximation to the Boltzmann transport equation with a sinusoidally modulated point source to derive analytic expressions describing the diffraction and the reflection of photon-density waves from an absorbing and/or reflecting semi-infinite plane bounded by a straight edge immersed in a strongly scattering medium. The analytic expressions given are in agreement with the results of frequency-domain experiments performed in skim-milk media and with Monte Carlo simulations. These studies provide a basis for the understanding of photon diffusion in strongly scattering media in the presence of absorbing and reflecting objects and allow for a determination of the conditions for obtaining maximum resolution and penetration for applications to optical tomography. |
| doi_str_mv | 10.1364/josaa.10.000127 |
| format | Article |
| fullrecord | <record><control><sourceid>pubmed_osti_</sourceid><recordid>TN_cdi_crossref_primary_10_1364_JOSAA_10_000127</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>8478741</sourcerecordid><originalsourceid>FETCH-LOGICAL-c3707-5758b1fde68c65701676c6f356ed2a9bbc45330c9493014dbf02b2d89556b4e3</originalsourceid><addsrcrecordid>eNo9UMtqwzAQFKUlTdOeeyqI3p3oYUnOMYQ-CaTQ3I1edhQSyVhKi7-gv10bl56W2Z0ZdgaAe4zmmPJ8cQhRynmPEEKYiAswxYygrGCUXIIpEjnKKKHkGtzEeBg4nPAJmBS5KESOp-Dnow2NrGVywcNQwWYfUvCZsT661MFv-WUjdB7G1AZfHzsYtUzJts7X8GSNk1AHn6Tzw0J6KFUMrRpAtCeXOV_1p2Rhc5TeQhXO3lgDVQflYCldvU_QmtregqtKHqO9-5szsHt-2q1fs8325W292mSaCiQyJlihcGUsLzRnoo8juOYVZdwaIpdK6ZxRivQyX1KEc6MqRBQxxZIxrnJLZ-BxtA0xuTLq_jW97xN4q1PJBSa8F87AYiTpNsTY2qpsWneSbVdiVA6tl-_bz9VqQGPrveJhVDRn1bfyz_-rmf4CCGl_7w</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Propagation of photon-density waves in strongly scattering media containing an absorbing semi-infinite plane bounded by a straight edge</title><source>MEDLINE</source><source>Optica Publishing Group Journals</source><creator>Fishkin, J B ; Gratton, E</creator><creatorcontrib>Fishkin, J B ; Gratton, E</creatorcontrib><description>Light propagation in strongly scattering media can be described by the diffusion approximation to the Boltzmann transport equation. We have derived analytical expressions based on the diffusion approximation that describe the photon density in a uniform, infinite, strongly scattering medium that contains a sinusoidally intensity-modulated point source of light. These expressions predict that the photon density will propagate outward from the light source as a spherical wave of constant phase velocity with an amplitude that attenuates with distance r from the source as exp(-alpha r)/r. The properties of the photon-density wave are given in terms of the spectral properties of the scattering medium. We have used the Green's function obtained from the diffusion approximation to the Boltzmann transport equation with a sinusoidally modulated point source to derive analytic expressions describing the diffraction and the reflection of photon-density waves from an absorbing and/or reflecting semi-infinite plane bounded by a straight edge immersed in a strongly scattering medium. The analytic expressions given are in agreement with the results of frequency-domain experiments performed in skim-milk media and with Monte Carlo simulations. These studies provide a basis for the understanding of photon diffusion in strongly scattering media in the presence of absorbing and reflecting objects and allow for a determination of the conditions for obtaining maximum resolution and penetration for applications to optical tomography.</description><identifier>ISSN: 0740-3232</identifier><identifier>ISSN: 1084-7529</identifier><identifier>EISSN: 1520-8532</identifier><identifier>EISSN: 2375-1169</identifier><identifier>DOI: 10.1364/josaa.10.000127</identifier><identifier>PMID: 8478741</identifier><language>eng</language><publisher>United States</publisher><subject>ANALYTICAL SOLUTION ; Animals ; BOLTZMANN EQUATION ; BOSONS ; CALCULATION METHODS ; CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ; COHERENT SCATTERING ; DIAGNOSTIC TECHNIQUES ; DIFFERENTIAL EQUATIONS ; DIFFRACTION ; DIFFUSION ; ELEMENTARY PARTICLES ; EQUATIONS ; FUNCTIONS ; GREEN FUNCTION ; Light ; MASSLESS PARTICLES ; Mathematics ; Milk - chemistry ; MONTE CARLO METHOD ; PARTIAL DIFFERENTIAL EQUATIONS ; PHASE VELOCITY ; PHOTONS ; Radiation ; REFLECTION ; RESOLUTION ; SCATTERING ; Scattering, Radiation ; TOMOGRAPHY ; VELOCITY 661300 -- Other Aspects of Physical Science-- (1992-) ; WAVE PROPAGATION</subject><ispartof>Journal of the Optical Society of America. A, Optics and image science, 1993-01, Vol.10 (1), p.127</ispartof><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c3707-5758b1fde68c65701676c6f356ed2a9bbc45330c9493014dbf02b2d89556b4e3</citedby><cites>FETCH-LOGICAL-c3707-5758b1fde68c65701676c6f356ed2a9bbc45330c9493014dbf02b2d89556b4e3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,885,3258,27924,27925</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/8478741$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink><backlink>$$Uhttps://www.osti.gov/biblio/6712649$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Fishkin, J B</creatorcontrib><creatorcontrib>Gratton, E</creatorcontrib><title>Propagation of photon-density waves in strongly scattering media containing an absorbing semi-infinite plane bounded by a straight edge</title><title>Journal of the Optical Society of America. A, Optics and image science</title><addtitle>J Opt Soc Am A</addtitle><description>Light propagation in strongly scattering media can be described by the diffusion approximation to the Boltzmann transport equation. We have derived analytical expressions based on the diffusion approximation that describe the photon density in a uniform, infinite, strongly scattering medium that contains a sinusoidally intensity-modulated point source of light. These expressions predict that the photon density will propagate outward from the light source as a spherical wave of constant phase velocity with an amplitude that attenuates with distance r from the source as exp(-alpha r)/r. The properties of the photon-density wave are given in terms of the spectral properties of the scattering medium. We have used the Green's function obtained from the diffusion approximation to the Boltzmann transport equation with a sinusoidally modulated point source to derive analytic expressions describing the diffraction and the reflection of photon-density waves from an absorbing and/or reflecting semi-infinite plane bounded by a straight edge immersed in a strongly scattering medium. The analytic expressions given are in agreement with the results of frequency-domain experiments performed in skim-milk media and with Monte Carlo simulations. These studies provide a basis for the understanding of photon diffusion in strongly scattering media in the presence of absorbing and reflecting objects and allow for a determination of the conditions for obtaining maximum resolution and penetration for applications to optical tomography.</description><subject>ANALYTICAL SOLUTION</subject><subject>Animals</subject><subject>BOLTZMANN EQUATION</subject><subject>BOSONS</subject><subject>CALCULATION METHODS</subject><subject>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</subject><subject>COHERENT SCATTERING</subject><subject>DIAGNOSTIC TECHNIQUES</subject><subject>DIFFERENTIAL EQUATIONS</subject><subject>DIFFRACTION</subject><subject>DIFFUSION</subject><subject>ELEMENTARY PARTICLES</subject><subject>EQUATIONS</subject><subject>FUNCTIONS</subject><subject>GREEN FUNCTION</subject><subject>Light</subject><subject>MASSLESS PARTICLES</subject><subject>Mathematics</subject><subject>Milk - chemistry</subject><subject>MONTE CARLO METHOD</subject><subject>PARTIAL DIFFERENTIAL EQUATIONS</subject><subject>PHASE VELOCITY</subject><subject>PHOTONS</subject><subject>Radiation</subject><subject>REFLECTION</subject><subject>RESOLUTION</subject><subject>SCATTERING</subject><subject>Scattering, Radiation</subject><subject>TOMOGRAPHY</subject><subject>VELOCITY 661300 -- Other Aspects of Physical Science-- (1992-)</subject><subject>WAVE PROPAGATION</subject><issn>0740-3232</issn><issn>1084-7529</issn><issn>1520-8532</issn><issn>2375-1169</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1993</creationdate><recordtype>article</recordtype><sourceid>EIF</sourceid><recordid>eNo9UMtqwzAQFKUlTdOeeyqI3p3oYUnOMYQ-CaTQ3I1edhQSyVhKi7-gv10bl56W2Z0ZdgaAe4zmmPJ8cQhRynmPEEKYiAswxYygrGCUXIIpEjnKKKHkGtzEeBg4nPAJmBS5KESOp-Dnow2NrGVywcNQwWYfUvCZsT661MFv-WUjdB7G1AZfHzsYtUzJts7X8GSNk1AHn6Tzw0J6KFUMrRpAtCeXOV_1p2Rhc5TeQhXO3lgDVQflYCldvU_QmtregqtKHqO9-5szsHt-2q1fs8325W292mSaCiQyJlihcGUsLzRnoo8juOYVZdwaIpdK6ZxRivQyX1KEc6MqRBQxxZIxrnJLZ-BxtA0xuTLq_jW97xN4q1PJBSa8F87AYiTpNsTY2qpsWneSbVdiVA6tl-_bz9VqQGPrveJhVDRn1bfyz_-rmf4CCGl_7w</recordid><startdate>199301</startdate><enddate>199301</enddate><creator>Fishkin, J B</creator><creator>Gratton, E</creator><scope>CGR</scope><scope>CUY</scope><scope>CVF</scope><scope>ECM</scope><scope>EIF</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>OTOTI</scope></search><sort><creationdate>199301</creationdate><title>Propagation of photon-density waves in strongly scattering media containing an absorbing semi-infinite plane bounded by a straight edge</title><author>Fishkin, J B ; Gratton, E</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3707-5758b1fde68c65701676c6f356ed2a9bbc45330c9493014dbf02b2d89556b4e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1993</creationdate><topic>ANALYTICAL SOLUTION</topic><topic>Animals</topic><topic>BOLTZMANN EQUATION</topic><topic>BOSONS</topic><topic>CALCULATION METHODS</topic><topic>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</topic><topic>COHERENT SCATTERING</topic><topic>DIAGNOSTIC TECHNIQUES</topic><topic>DIFFERENTIAL EQUATIONS</topic><topic>DIFFRACTION</topic><topic>DIFFUSION</topic><topic>ELEMENTARY PARTICLES</topic><topic>EQUATIONS</topic><topic>FUNCTIONS</topic><topic>GREEN FUNCTION</topic><topic>Light</topic><topic>MASSLESS PARTICLES</topic><topic>Mathematics</topic><topic>Milk - chemistry</topic><topic>MONTE CARLO METHOD</topic><topic>PARTIAL DIFFERENTIAL EQUATIONS</topic><topic>PHASE VELOCITY</topic><topic>PHOTONS</topic><topic>Radiation</topic><topic>REFLECTION</topic><topic>RESOLUTION</topic><topic>SCATTERING</topic><topic>Scattering, Radiation</topic><topic>TOMOGRAPHY</topic><topic>VELOCITY 661300 -- Other Aspects of Physical Science-- (1992-)</topic><topic>WAVE PROPAGATION</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Fishkin, J B</creatorcontrib><creatorcontrib>Gratton, E</creatorcontrib><collection>Medline</collection><collection>MEDLINE</collection><collection>MEDLINE (Ovid)</collection><collection>MEDLINE</collection><collection>MEDLINE</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>OSTI.GOV</collection><jtitle>Journal of the Optical Society of America. A, Optics and image science</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Fishkin, J B</au><au>Gratton, E</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Propagation of photon-density waves in strongly scattering media containing an absorbing semi-infinite plane bounded by a straight edge</atitle><jtitle>Journal of the Optical Society of America. A, Optics and image science</jtitle><addtitle>J Opt Soc Am A</addtitle><date>1993-01</date><risdate>1993</risdate><volume>10</volume><issue>1</issue><spage>127</spage><pages>127-</pages><issn>0740-3232</issn><issn>1084-7529</issn><eissn>1520-8532</eissn><eissn>2375-1169</eissn><abstract>Light propagation in strongly scattering media can be described by the diffusion approximation to the Boltzmann transport equation. We have derived analytical expressions based on the diffusion approximation that describe the photon density in a uniform, infinite, strongly scattering medium that contains a sinusoidally intensity-modulated point source of light. These expressions predict that the photon density will propagate outward from the light source as a spherical wave of constant phase velocity with an amplitude that attenuates with distance r from the source as exp(-alpha r)/r. The properties of the photon-density wave are given in terms of the spectral properties of the scattering medium. We have used the Green's function obtained from the diffusion approximation to the Boltzmann transport equation with a sinusoidally modulated point source to derive analytic expressions describing the diffraction and the reflection of photon-density waves from an absorbing and/or reflecting semi-infinite plane bounded by a straight edge immersed in a strongly scattering medium. The analytic expressions given are in agreement with the results of frequency-domain experiments performed in skim-milk media and with Monte Carlo simulations. These studies provide a basis for the understanding of photon diffusion in strongly scattering media in the presence of absorbing and reflecting objects and allow for a determination of the conditions for obtaining maximum resolution and penetration for applications to optical tomography.</abstract><cop>United States</cop><pmid>8478741</pmid><doi>10.1364/josaa.10.000127</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0740-3232 |
| ispartof | Journal of the Optical Society of America. A, Optics and image science, 1993-01, Vol.10 (1), p.127 |
| issn | 0740-3232 1084-7529 1520-8532 2375-1169 |
| language | eng |
| recordid | cdi_crossref_primary_10_1364_JOSAA_10_000127 |
| source | MEDLINE; Optica Publishing Group Journals |
| subjects | ANALYTICAL SOLUTION Animals BOLTZMANN EQUATION BOSONS CALCULATION METHODS CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS COHERENT SCATTERING DIAGNOSTIC TECHNIQUES DIFFERENTIAL EQUATIONS DIFFRACTION DIFFUSION ELEMENTARY PARTICLES EQUATIONS FUNCTIONS GREEN FUNCTION Light MASSLESS PARTICLES Mathematics Milk - chemistry MONTE CARLO METHOD PARTIAL DIFFERENTIAL EQUATIONS PHASE VELOCITY PHOTONS Radiation REFLECTION RESOLUTION SCATTERING Scattering, Radiation TOMOGRAPHY VELOCITY 661300 -- Other Aspects of Physical Science-- (1992-) WAVE PROPAGATION |
| title | Propagation of photon-density waves in strongly scattering media containing an absorbing semi-infinite plane bounded by a straight edge |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-23T00%3A41%3A32IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-pubmed_osti_&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Propagation%20of%20photon-density%20waves%20in%20strongly%20scattering%20media%20containing%20an%20absorbing%20semi-infinite%20plane%20bounded%20by%20a%20straight%20edge&rft.jtitle=Journal%20of%20the%20Optical%20Society%20of%20America.%20A,%20Optics%20and%20image%20science&rft.au=Fishkin,%20J%20B&rft.date=1993-01&rft.volume=10&rft.issue=1&rft.spage=127&rft.pages=127-&rft.issn=0740-3232&rft.eissn=1520-8532&rft_id=info:doi/10.1364/josaa.10.000127&rft_dat=%3Cpubmed_osti_%3E8478741%3C/pubmed_osti_%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/8478741&rfr_iscdi=true |