Range of Validity of the Rayleigh Hypothesis for Sound Wave Scattering From a Periodic Seafloor
In this paper, sound scattering at a water/sediment periodic interface is modeled by an integral equation method to investigate the range of validity of the Rayleigh hypothesis. Due to the periodicity of surface, coupled integral equations are simplified by introducing the quasi-periodic Green'...
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| Veröffentlicht in: | IEEE journal of oceanic engineering 2014-10, Vol.39 (4), p.779-787 |
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| creator | Yu, Gaokun Peng, Linhui |
| description | In this paper, sound scattering at a water/sediment periodic interface is modeled by an integral equation method to investigate the range of validity of the Rayleigh hypothesis. Due to the periodicity of surface, coupled integral equations are simplified by introducing the quasi-periodic Green's function, which can be evaluated with a relatively small number of terms of the spectral series. By comparing the scattering amplitudes obtained from the integral equation method and the method based on the Rayleigh hypothesis, the range of validity of the Rayleigh hypothesis is determined. For a given wavenumber κ of the periodic surface, the maximum surface amplitude hmax beyond which the Rayleigh hypothesis is invalid decreases with frequency of incident waves. For the grazing angle θ = 90 ° , h max is larger than h c =0.448/κ (the upper limit of surface amplitude determined by the criterion of the Rayleigh hypothesis) in the frequency range 2.5-40 kHz. However, for a small grazing angle, such as, θ = 35 ° , h max is observed to be smaller than h c for the large surface period Λ at frequency 40 kHz. |
| doi_str_mv | 10.1109/JOE.2013.2289173 |
| format | Article |
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Due to the periodicity of surface, coupled integral equations are simplified by introducing the quasi-periodic Green's function, which can be evaluated with a relatively small number of terms of the spectral series. By comparing the scattering amplitudes obtained from the integral equation method and the method based on the Rayleigh hypothesis, the range of validity of the Rayleigh hypothesis is determined. For a given wavenumber κ of the periodic surface, the maximum surface amplitude hmax beyond which the Rayleigh hypothesis is invalid decreases with frequency of incident waves. For the grazing angle θ = 90 ° , h max is larger than h c =0.448/κ (the upper limit of surface amplitude determined by the criterion of the Rayleigh hypothesis) in the frequency range 2.5-40 kHz. However, for a small grazing angle, such as, θ = 35 ° , h max is observed to be smaller than h c for the large surface period Λ at frequency 40 kHz.</description><identifier>ISSN: 0364-9059</identifier><identifier>EISSN: 1558-1691</identifier><identifier>DOI: 10.1109/JOE.2013.2289173</identifier><identifier>CODEN: IJOEDY</identifier><language>eng</language><publisher>New York: IEEE</publisher><subject>Acoustic scattering ; Amplitudes ; Frequency ranges ; Grazing ; Green's function methods ; Hypotheses ; Incident waves ; Integral equations ; Rayleigh hypothesis ; Scattering ; Scattering amplitude ; Sea floor ; Sea surface ; seafloor ; Spectra ; Underwater acoustics</subject><ispartof>IEEE journal of oceanic engineering, 2014-10, Vol.39 (4), p.779-787</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) Oct 2014</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c357t-d17f8063f5e8a8f8b2c352913ef8eb4ca4c8c11bf1ed0cdf5ceae6e4fea8f7083</citedby><cites>FETCH-LOGICAL-c357t-d17f8063f5e8a8f8b2c352913ef8eb4ca4c8c11bf1ed0cdf5ceae6e4fea8f7083</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/6704323$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,776,780,792,27903,27904,54736</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/6704323$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Yu, Gaokun</creatorcontrib><creatorcontrib>Peng, Linhui</creatorcontrib><title>Range of Validity of the Rayleigh Hypothesis for Sound Wave Scattering From a Periodic Seafloor</title><title>IEEE journal of oceanic engineering</title><addtitle>JOE</addtitle><description>In this paper, sound scattering at a water/sediment periodic interface is modeled by an integral equation method to investigate the range of validity of the Rayleigh hypothesis. Due to the periodicity of surface, coupled integral equations are simplified by introducing the quasi-periodic Green's function, which can be evaluated with a relatively small number of terms of the spectral series. By comparing the scattering amplitudes obtained from the integral equation method and the method based on the Rayleigh hypothesis, the range of validity of the Rayleigh hypothesis is determined. For a given wavenumber κ of the periodic surface, the maximum surface amplitude hmax beyond which the Rayleigh hypothesis is invalid decreases with frequency of incident waves. For the grazing angle θ = 90 ° , h max is larger than h c =0.448/κ (the upper limit of surface amplitude determined by the criterion of the Rayleigh hypothesis) in the frequency range 2.5-40 kHz. However, for a small grazing angle, such as, θ = 35 ° , h max is observed to be smaller than h c for the large surface period Λ at frequency 40 kHz.</description><subject>Acoustic scattering</subject><subject>Amplitudes</subject><subject>Frequency ranges</subject><subject>Grazing</subject><subject>Green's function methods</subject><subject>Hypotheses</subject><subject>Incident waves</subject><subject>Integral equations</subject><subject>Rayleigh hypothesis</subject><subject>Scattering</subject><subject>Scattering amplitude</subject><subject>Sea floor</subject><subject>Sea surface</subject><subject>seafloor</subject><subject>Spectra</subject><subject>Underwater acoustics</subject><issn>0364-9059</issn><issn>1558-1691</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNqNkc1LAzEQxYMoWD_ugpeAFy9bM5vsbvYoRa1SUFo_jiHNTtqU7aYmW6H_vbtUPHjyNDOP33swPEIugA0BWHnz9Hw3TBnwYZrKEgp-QAaQZTKBvIRDMmA8F0nJsvKYnMS4YgyEKMoBUVPdLJB6S9917SrX7vq9XSKd6l2NbrGk493Gd0J0kVof6Mxvm4p-6C-kM6PbFoNrFvQ--DXV9KW7fOUMnaG2tffhjBxZXUc8_5mn5O3-7nU0TibPD4-j20lieFa0SQWFlSznNkOppZXztNPTEjhaiXNhtDDSAMwtYMVMZTODGnMUFju6YJKfkut97ib4zy3GVq1dNFjXukG_jQpykXIQeZr_AwUJmSwk79CrP-jKb0PTPdJT0EdCH8j2lAk-xoBWbYJb67BTwFRfjurKUX056qecznK5tzhE_MXzggmecv4NuCaKiw</recordid><startdate>201410</startdate><enddate>201410</enddate><creator>Yu, Gaokun</creator><creator>Peng, Linhui</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. (IEEE)</general><scope>97E</scope><scope>RIA</scope><scope>RIE</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>7TB</scope><scope>7TN</scope><scope>8FD</scope><scope>F1W</scope><scope>FR3</scope><scope>H96</scope><scope>JQ2</scope><scope>KR7</scope><scope>L.G</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>F28</scope></search><sort><creationdate>201410</creationdate><title>Range of Validity of the Rayleigh Hypothesis for Sound Wave Scattering From a Periodic Seafloor</title><author>Yu, Gaokun ; Peng, Linhui</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c357t-d17f8063f5e8a8f8b2c352913ef8eb4ca4c8c11bf1ed0cdf5ceae6e4fea8f7083</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Acoustic scattering</topic><topic>Amplitudes</topic><topic>Frequency ranges</topic><topic>Grazing</topic><topic>Green's function methods</topic><topic>Hypotheses</topic><topic>Incident waves</topic><topic>Integral equations</topic><topic>Rayleigh hypothesis</topic><topic>Scattering</topic><topic>Scattering amplitude</topic><topic>Sea floor</topic><topic>Sea surface</topic><topic>seafloor</topic><topic>Spectra</topic><topic>Underwater acoustics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Yu, Gaokun</creatorcontrib><creatorcontrib>Peng, Linhui</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 2005-present</collection><collection>IEEE All-Society Periodicals Package (ASPP) 1998-Present</collection><collection>IEEE Electronic Library (IEL)</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Oceanic Abstracts</collection><collection>Technology Research Database</collection><collection>ASFA: Aquatic Sciences and Fisheries Abstracts</collection><collection>Engineering Research Database</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) Professional</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>ANTE: Abstracts in New Technology & Engineering</collection><jtitle>IEEE journal of oceanic engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Yu, Gaokun</au><au>Peng, Linhui</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Range of Validity of the Rayleigh Hypothesis for Sound Wave Scattering From a Periodic Seafloor</atitle><jtitle>IEEE journal of oceanic engineering</jtitle><stitle>JOE</stitle><date>2014-10</date><risdate>2014</risdate><volume>39</volume><issue>4</issue><spage>779</spage><epage>787</epage><pages>779-787</pages><issn>0364-9059</issn><eissn>1558-1691</eissn><coden>IJOEDY</coden><abstract>In this paper, sound scattering at a water/sediment periodic interface is modeled by an integral equation method to investigate the range of validity of the Rayleigh hypothesis. Due to the periodicity of surface, coupled integral equations are simplified by introducing the quasi-periodic Green's function, which can be evaluated with a relatively small number of terms of the spectral series. By comparing the scattering amplitudes obtained from the integral equation method and the method based on the Rayleigh hypothesis, the range of validity of the Rayleigh hypothesis is determined. For a given wavenumber κ of the periodic surface, the maximum surface amplitude hmax beyond which the Rayleigh hypothesis is invalid decreases with frequency of incident waves. For the grazing angle θ = 90 ° , h max is larger than h c =0.448/κ (the upper limit of surface amplitude determined by the criterion of the Rayleigh hypothesis) in the frequency range 2.5-40 kHz. However, for a small grazing angle, such as, θ = 35 ° , h max is observed to be smaller than h c for the large surface period Λ at frequency 40 kHz.</abstract><cop>New York</cop><pub>IEEE</pub><doi>10.1109/JOE.2013.2289173</doi><tpages>9</tpages></addata></record> |
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| subjects | Acoustic scattering Amplitudes Frequency ranges Grazing Green's function methods Hypotheses Incident waves Integral equations Rayleigh hypothesis Scattering Scattering amplitude Sea floor Sea surface seafloor Spectra Underwater acoustics |
| title | Range of Validity of the Rayleigh Hypothesis for Sound Wave Scattering From a Periodic Seafloor |
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