Observations on the evolution of wave modulation
Present results on the evolution of initial uniform wave trains cover a wide range of initial wave steepness (
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| Veröffentlicht in: | Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Mathematical, physical, and engineering sciences, 2007-01, Vol.463 (2077), p.85-112 |
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| container_title | Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences |
| container_volume | 463 |
| creator | Hwung, Hwung-Hweng Chiang, Wen-Son Hsiao, Shih-Chun |
| description | Present results on the evolution of initial uniform wave trains cover a wide range of initial wave steepness ( |
| doi_str_mv | 10.1098/rspa.2006.1759 |
| format | Article |
| fullrecord | <record><control><sourceid>jstor_royal</sourceid><recordid>TN_cdi_royalsociety_journals_10_1098_rspa_2006_1759</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><jstor_id>20209106</jstor_id><sourcerecordid>20209106</sourcerecordid><originalsourceid>FETCH-LOGICAL-c505t-24a8acd671b2d0ad5bffc6e46c2920a9ef5c8c4733eb39b5c5d4cfbc39b0c0043</originalsourceid><addsrcrecordid>eNp9T8lOwzAQjRBIrFduSPmBlPGeXJAQS0Eq4sJ2sxzHpilpXNlpoX-PQ1AFBzh5PG-blyTHCEYIivzUh4UaYQA-QoIVW8keogJluKB8O86E04wBRrvJfggzAChYLvYSuC-D8SvV1a4NqWvTbmpSs3LNst-kzqbvamXSuauWzRfpMNmxqgnm6Ps9SB6vrx4ubrLJ_fj24nySaQasyzBVudIVF6jEFaiKldZqbijXuMCgCmOZzjUVhJiSFCXTrKLaljrOoAEoOUhGg6_2LgRvrFz4eq78WiKQfV_Z95V9X9n3jQIyCLxbx8Ocrk23ljO39G38_q06GVSz0Dm_ycCAoUDAI54NeB0687HBlX-TXBDB5FNO5fOYveSXd1xeR_7ZwJ_Wr9P32hv565yvdO3azrSdpJzEICFkzqRdNo1cVDYawL8Gbr3wQf3Ukk-1YJyE</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Observations on the evolution of wave modulation</title><source>JSTOR Mathematics & Statistics</source><source>JSTOR Archive Collection A-Z Listing</source><source>Alma/SFX Local Collection</source><creator>Hwung, Hwung-Hweng ; Chiang, Wen-Son ; Hsiao, Shih-Chun</creator><creatorcontrib>Hwung, Hwung-Hweng ; Chiang, Wen-Son ; Hsiao, Shih-Chun</creatorcontrib><description>Present results on the evolution of initial uniform wave trains cover a wide range of initial wave steepness (</description><description>Experiments on initial imposed sideband wave trains with varied initial wave steepness illustrate that the evolution of the
wave train is a periodic modulation and demodulation at post-breaking stages, in which most of the energy of the wave train
is transferred cyclically between the carrier wave and two imposed sidebands. Meanwhile, the wave spectra show both temporal
and permanent frequency downshift for different initial wave steepness, suggesting that the permanent frequency downshift
induced by wave breaking observed by earlier researchers is not permanent. Additionally, the local wave steepness and the
ratio of horizontal particle velocity to linear phase velocity at wave breaking in modulated wave group are very different
from those of Stokes theory.</description><description>) and thus, greatly extend earlier studies that are confined only to the larger initial wave steepness region (</description><description>The investigations on the evolution of initial imposed sideband wave trains for fixed initial wave steepness but different
sideband space indicate that the most unstable mode of initial wave train will manifest itself during evolution through a
multiple downshift of wave spectrum for the wave train with the smaller sideband space. It reveals that the spectrum energy
tends to shift to a lower frequency as the wave train propagates downstream due to the sideband instability.</description><description>A series of laboratory experiments on the long-time evolution of nonlinear wave trains in deep water was carried out in a
super wave flume (300×5.0×5.2 m) at Tainan Hydraulics Laboratory of National Cheng Kung University. Two typical wave trains,
namely uniform wave and imposed sideband wave, were generated by a piston-type wavemaker. Detailed discussions on the evolution
of modulated wave trains, such as transient wavefront, fastest growth mode and initial wave steepness effect, are given and
the results are compared with existing experimental data and theoretical predictions.</description><description>). The amplitudes of the fastest growth sidebands exhibit a symmetric exponential growth until the onset of wave breaking.
At a further stage, the amplitude of lower sideband becomes larger than the carrier wave and upper sideband after wave breaking,
which is known as the frequency downshift.</description><identifier>ISSN: 1364-5021</identifier><identifier>EISSN: 1471-2946</identifier><identifier>DOI: 10.1098/rspa.2006.1759</identifier><language>eng</language><publisher>London: The Royal Society</publisher><subject>Amplitude ; Carrier waves ; Deep water ; Demodulation ; Flumes ; Frequency Downshift ; Hydraulics ; Modulation ; Radio transmission ; Recurrence ; Sideband Instability ; Sidebands ; Wave propagation ; Waves</subject><ispartof>Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2007-01, Vol.463 (2077), p.85-112</ispartof><rights>Copyright 2007 The Royal Society</rights><rights>2006 The Royal Society</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c505t-24a8acd671b2d0ad5bffc6e46c2920a9ef5c8c4733eb39b5c5d4cfbc39b0c0043</citedby><cites>FETCH-LOGICAL-c505t-24a8acd671b2d0ad5bffc6e46c2920a9ef5c8c4733eb39b5c5d4cfbc39b0c0043</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.jstor.org/stable/pdf/20209106$$EPDF$$P50$$Gjstor$$H</linktopdf><linktohtml>$$Uhttps://www.jstor.org/stable/20209106$$EHTML$$P50$$Gjstor$$H</linktohtml><link.rule.ids>314,780,784,803,832,27923,27924,58016,58020,58249,58253</link.rule.ids></links><search><creatorcontrib>Hwung, Hwung-Hweng</creatorcontrib><creatorcontrib>Chiang, Wen-Son</creatorcontrib><creatorcontrib>Hsiao, Shih-Chun</creatorcontrib><title>Observations on the evolution of wave modulation</title><title>Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences</title><addtitle>PROC R SOC A</addtitle><description>Present results on the evolution of initial uniform wave trains cover a wide range of initial wave steepness (</description><description>Experiments on initial imposed sideband wave trains with varied initial wave steepness illustrate that the evolution of the
wave train is a periodic modulation and demodulation at post-breaking stages, in which most of the energy of the wave train
is transferred cyclically between the carrier wave and two imposed sidebands. Meanwhile, the wave spectra show both temporal
and permanent frequency downshift for different initial wave steepness, suggesting that the permanent frequency downshift
induced by wave breaking observed by earlier researchers is not permanent. Additionally, the local wave steepness and the
ratio of horizontal particle velocity to linear phase velocity at wave breaking in modulated wave group are very different
from those of Stokes theory.</description><description>) and thus, greatly extend earlier studies that are confined only to the larger initial wave steepness region (</description><description>The investigations on the evolution of initial imposed sideband wave trains for fixed initial wave steepness but different
sideband space indicate that the most unstable mode of initial wave train will manifest itself during evolution through a
multiple downshift of wave spectrum for the wave train with the smaller sideband space. It reveals that the spectrum energy
tends to shift to a lower frequency as the wave train propagates downstream due to the sideband instability.</description><description>A series of laboratory experiments on the long-time evolution of nonlinear wave trains in deep water was carried out in a
super wave flume (300×5.0×5.2 m) at Tainan Hydraulics Laboratory of National Cheng Kung University. Two typical wave trains,
namely uniform wave and imposed sideband wave, were generated by a piston-type wavemaker. Detailed discussions on the evolution
of modulated wave trains, such as transient wavefront, fastest growth mode and initial wave steepness effect, are given and
the results are compared with existing experimental data and theoretical predictions.</description><description>). The amplitudes of the fastest growth sidebands exhibit a symmetric exponential growth until the onset of wave breaking.
At a further stage, the amplitude of lower sideband becomes larger than the carrier wave and upper sideband after wave breaking,
which is known as the frequency downshift.</description><subject>Amplitude</subject><subject>Carrier waves</subject><subject>Deep water</subject><subject>Demodulation</subject><subject>Flumes</subject><subject>Frequency Downshift</subject><subject>Hydraulics</subject><subject>Modulation</subject><subject>Radio transmission</subject><subject>Recurrence</subject><subject>Sideband Instability</subject><subject>Sidebands</subject><subject>Wave propagation</subject><subject>Waves</subject><issn>1364-5021</issn><issn>1471-2946</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2007</creationdate><recordtype>article</recordtype><recordid>eNp9T8lOwzAQjRBIrFduSPmBlPGeXJAQS0Eq4sJ2sxzHpilpXNlpoX-PQ1AFBzh5PG-blyTHCEYIivzUh4UaYQA-QoIVW8keogJluKB8O86E04wBRrvJfggzAChYLvYSuC-D8SvV1a4NqWvTbmpSs3LNst-kzqbvamXSuauWzRfpMNmxqgnm6Ps9SB6vrx4ubrLJ_fj24nySaQasyzBVudIVF6jEFaiKldZqbijXuMCgCmOZzjUVhJiSFCXTrKLaljrOoAEoOUhGg6_2LgRvrFz4eq78WiKQfV_Z95V9X9n3jQIyCLxbx8Ocrk23ljO39G38_q06GVSz0Dm_ycCAoUDAI54NeB0687HBlX-TXBDB5FNO5fOYveSXd1xeR_7ZwJ_Wr9P32hv565yvdO3azrSdpJzEICFkzqRdNo1cVDYawL8Gbr3wQf3Ukk-1YJyE</recordid><startdate>20070108</startdate><enddate>20070108</enddate><creator>Hwung, Hwung-Hweng</creator><creator>Chiang, Wen-Son</creator><creator>Hsiao, Shih-Chun</creator><general>The Royal Society</general><scope>BSCLL</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20070108</creationdate><title>Observations on the evolution of wave modulation</title><author>Hwung, Hwung-Hweng ; Chiang, Wen-Son ; Hsiao, Shih-Chun</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c505t-24a8acd671b2d0ad5bffc6e46c2920a9ef5c8c4733eb39b5c5d4cfbc39b0c0043</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2007</creationdate><topic>Amplitude</topic><topic>Carrier waves</topic><topic>Deep water</topic><topic>Demodulation</topic><topic>Flumes</topic><topic>Frequency Downshift</topic><topic>Hydraulics</topic><topic>Modulation</topic><topic>Radio transmission</topic><topic>Recurrence</topic><topic>Sideband Instability</topic><topic>Sidebands</topic><topic>Wave propagation</topic><topic>Waves</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Hwung, Hwung-Hweng</creatorcontrib><creatorcontrib>Chiang, Wen-Son</creatorcontrib><creatorcontrib>Hsiao, Shih-Chun</creatorcontrib><collection>Istex</collection><collection>CrossRef</collection><jtitle>Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Hwung, Hwung-Hweng</au><au>Chiang, Wen-Son</au><au>Hsiao, Shih-Chun</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Observations on the evolution of wave modulation</atitle><jtitle>Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences</jtitle><addtitle>PROC R SOC A</addtitle><date>2007-01-08</date><risdate>2007</risdate><volume>463</volume><issue>2077</issue><spage>85</spage><epage>112</epage><pages>85-112</pages><issn>1364-5021</issn><eissn>1471-2946</eissn><abstract>Present results on the evolution of initial uniform wave trains cover a wide range of initial wave steepness (</abstract><abstract>Experiments on initial imposed sideband wave trains with varied initial wave steepness illustrate that the evolution of the
wave train is a periodic modulation and demodulation at post-breaking stages, in which most of the energy of the wave train
is transferred cyclically between the carrier wave and two imposed sidebands. Meanwhile, the wave spectra show both temporal
and permanent frequency downshift for different initial wave steepness, suggesting that the permanent frequency downshift
induced by wave breaking observed by earlier researchers is not permanent. Additionally, the local wave steepness and the
ratio of horizontal particle velocity to linear phase velocity at wave breaking in modulated wave group are very different
from those of Stokes theory.</abstract><abstract>) and thus, greatly extend earlier studies that are confined only to the larger initial wave steepness region (</abstract><abstract>The investigations on the evolution of initial imposed sideband wave trains for fixed initial wave steepness but different
sideband space indicate that the most unstable mode of initial wave train will manifest itself during evolution through a
multiple downshift of wave spectrum for the wave train with the smaller sideband space. It reveals that the spectrum energy
tends to shift to a lower frequency as the wave train propagates downstream due to the sideband instability.</abstract><abstract>A series of laboratory experiments on the long-time evolution of nonlinear wave trains in deep water was carried out in a
super wave flume (300×5.0×5.2 m) at Tainan Hydraulics Laboratory of National Cheng Kung University. Two typical wave trains,
namely uniform wave and imposed sideband wave, were generated by a piston-type wavemaker. Detailed discussions on the evolution
of modulated wave trains, such as transient wavefront, fastest growth mode and initial wave steepness effect, are given and
the results are compared with existing experimental data and theoretical predictions.</abstract><abstract>). The amplitudes of the fastest growth sidebands exhibit a symmetric exponential growth until the onset of wave breaking.
At a further stage, the amplitude of lower sideband becomes larger than the carrier wave and upper sideband after wave breaking,
which is known as the frequency downshift.</abstract><cop>London</cop><pub>The Royal Society</pub><doi>10.1098/rspa.2006.1759</doi><tpages>28</tpages></addata></record> |
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| identifier | ISSN: 1364-5021 |
| ispartof | Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2007-01, Vol.463 (2077), p.85-112 |
| issn | 1364-5021 1471-2946 |
| language | eng |
| recordid | cdi_royalsociety_journals_10_1098_rspa_2006_1759 |
| source | JSTOR Mathematics & Statistics; JSTOR Archive Collection A-Z Listing; Alma/SFX Local Collection |
| subjects | Amplitude Carrier waves Deep water Demodulation Flumes Frequency Downshift Hydraulics Modulation Radio transmission Recurrence Sideband Instability Sidebands Wave propagation Waves |
| title | Observations on the evolution of wave modulation |
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