Random matrix theory for an adiabatically-varying oceanic acoustic waveguide
The problem of sound propagation in the ocean is considered. A novel approach of K. Hegewisch and S. Tomsovic for statistical modelling of acoustic wavefields in the random ocean is examined. The approach is based on construction of a wavefield propagator by means of random matrix theory. It is show...
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| Veröffentlicht in: | Wave motion 2019-08, Vol.90, p.205-217 |
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| creator | Makarov, D.V. |
| description | The problem of sound propagation in the ocean is considered. A novel approach of K. Hegewisch and S. Tomsovic for statistical modelling of acoustic wavefields in the random ocean is examined. The approach is based on construction of a wavefield propagator by means of random matrix theory. It is shown that this approach can be generalized onto acoustic waveguides with adiabatic longitudinal variations. The generalization is obtained by means of the stepwise approximation for the propagator. Accuracy of the generalized approach is confirmed numerically for a model of an underwater sound channel crossing a cold synoptic eddy. It is found that a cold eddy with the core located near the waveguide axis suppresses the effect of the sound scattering on internal waves.
•Sound propagation in the ocean is studied in terms of random matrix theory.•An efficient way for modelling in the presence adiabatic inhomogeneities is offered. |
| doi_str_mv | 10.1016/j.wavemoti.2019.05.007 |
| format | Article |
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•Sound propagation in the ocean is studied in terms of random matrix theory.•An efficient way for modelling in the presence adiabatic inhomogeneities is offered.</description><subject>Acoustic propagation</subject><subject>Acoustic waveguides</subject><subject>Adiabatic flow</subject><subject>Internal waves</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Matrix theory</subject><subject>Normal modes</subject><subject>Ocean acoustics</subject><subject>Ocean models</subject><subject>Ocean waves</subject><subject>Propagation</subject><subject>Random matrix theory</subject><subject>Scattering</subject><subject>Sound propagation</subject><subject>Sound scattering</subject><subject>Sound waves</subject><subject>Statistical models</subject><subject>Underwater acoustics</subject><subject>Vortices</subject><subject>Wave propagation</subject><subject>Wavefield propagator</subject><issn>0165-2125</issn><issn>1878-433X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNqFkMtKAzEUhoMoWKuvIAHXM-Yyl8xOKd6gIIiCu3Aml5qhM6nJTLVvb0p17eoszn_h_xC6pCSnhFbXXf4FW9P70eWM0CYnZU5IfYRmVNQiKzh_P0azJCwzRll5is5i7AghtObNDC1fYNC-xz2MwX3j8cP4sMPWBwwDBu2ghdEpWK932RbCzg0r7JWBwSkMyk8xPfG-fjU5bc7RiYV1NBe_d47e7u9eF4_Z8vnhaXG7zBQXYsxawUsKTS24tVVBANq6oRaEKWolBC05b7TSVAvKmabGCmiTwfJG6IKBFXyOrg65m-A_JxNH2fkpDKlSMlaxmrCirJKqOqhU8DEGY-UmuD6NkJTIPTnZyT9yck9OklImcsl4czCatGHrTJBROTMoo10wapTau_8ifgA6i3u5</recordid><startdate>201908</startdate><enddate>201908</enddate><creator>Makarov, D.V.</creator><general>Elsevier B.V</general><general>Elsevier BV</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>KR7</scope></search><sort><creationdate>201908</creationdate><title>Random matrix theory for an adiabatically-varying oceanic acoustic waveguide</title><author>Makarov, D.V.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c388t-b8351a9783ff640aab791fa8e47c8815339dcd1d8132d1ef8ab351f398d42af83</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Acoustic propagation</topic><topic>Acoustic waveguides</topic><topic>Adiabatic flow</topic><topic>Internal waves</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Matrix theory</topic><topic>Normal modes</topic><topic>Ocean acoustics</topic><topic>Ocean models</topic><topic>Ocean waves</topic><topic>Propagation</topic><topic>Random matrix theory</topic><topic>Scattering</topic><topic>Sound propagation</topic><topic>Sound scattering</topic><topic>Sound waves</topic><topic>Statistical models</topic><topic>Underwater acoustics</topic><topic>Vortices</topic><topic>Wave propagation</topic><topic>Wavefield propagator</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Makarov, D.V.</creatorcontrib><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Civil Engineering Abstracts</collection><jtitle>Wave motion</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Makarov, D.V.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Random matrix theory for an adiabatically-varying oceanic acoustic waveguide</atitle><jtitle>Wave motion</jtitle><date>2019-08</date><risdate>2019</risdate><volume>90</volume><spage>205</spage><epage>217</epage><pages>205-217</pages><issn>0165-2125</issn><eissn>1878-433X</eissn><abstract>The problem of sound propagation in the ocean is considered. A novel approach of K. Hegewisch and S. Tomsovic for statistical modelling of acoustic wavefields in the random ocean is examined. The approach is based on construction of a wavefield propagator by means of random matrix theory. It is shown that this approach can be generalized onto acoustic waveguides with adiabatic longitudinal variations. The generalization is obtained by means of the stepwise approximation for the propagator. Accuracy of the generalized approach is confirmed numerically for a model of an underwater sound channel crossing a cold synoptic eddy. It is found that a cold eddy with the core located near the waveguide axis suppresses the effect of the sound scattering on internal waves.
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| ispartof | Wave motion, 2019-08, Vol.90, p.205-217 |
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| language | eng |
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| source | Elsevier ScienceDirect Journals |
| subjects | Acoustic propagation Acoustic waveguides Adiabatic flow Internal waves Mathematical analysis Mathematical models Matrix theory Normal modes Ocean acoustics Ocean models Ocean waves Propagation Random matrix theory Scattering Sound propagation Sound scattering Sound waves Statistical models Underwater acoustics Vortices Wave propagation Wavefield propagator |
| title | Random matrix theory for an adiabatically-varying oceanic acoustic waveguide |
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