Entropy rate defined by internal wave scattering in long-range propagation Article Swipe
Andrey K. Morozov
,
John A. Colosi
·
YOU?
·
· 2015
· Open Access
·
· DOI: https://doi.org/10.1121/1.4928617
YOU?
·
· 2015
· Open Access
·
· DOI: https://doi.org/10.1121/1.4928617
The reduction of information capacity of the ocean sound channel due to scattering by internal waves is a potential problem for acoustic communication, navigation, and remote sensing over long ranges. In spite of recent progress in research on acoustic signal scattering by random internal waves and the fact that random internal waves are ubiquitous in the world oceans, there is no clear understanding of how these waves influence data communication performance. The entropy decrease resulting from scattering by internal waves is an important measure of information loss. Here a rigorous calculation of the entropy is carried out using second moment transport theory equations with random sound-speed perturbations obeying the Garrett–Munk internal-wave model. It is shown that full-wave rate of entropy is of the same order of magnitude as the Kolmogorov–Sinai entropy and Lyapunov exponents for the relevant ray trajectories. The correspondence between full-wave and ray entropies suggests a correspondence between full-wave scattering and ray chaos near statistical saturation. The relatively small level of entropy rate during propagation through the random internal-wave field shows that scattering by internal waves is likely not an essential limitation for data rate and channel capacity.
Related Topics
Concepts
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1121/1.4928617
- https://asa.scitation.org/doi/pdf/10.1121/1.4928617
- OA Status
- bronze
- Cited By
- 3
- References
- 23
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W1960410215
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
-
https://openalex.org/W1960410215Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.1121/1.4928617Digital Object Identifier
- Title
-
Entropy rate defined by internal wave scattering in long-range propagationWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2015Year of publication
- Publication date
-
2015-09-01Full publication date if available
- Authors
-
Andrey K. Morozov, John A. ColosiList of authors in order
- Landing page
-
https://doi.org/10.1121/1.4928617Publisher landing page
- PDF URL
-
https://asa.scitation.org/doi/pdf/10.1121/1.4928617Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
bronzeOpen access status per OpenAlex
- OA URL
-
https://asa.scitation.org/doi/pdf/10.1121/1.4928617Direct OA link when available
- Concepts
-
Internal wave, Scattering, Physics, Entropy (arrow of time), Statistical physics, Acoustic wave, Computational physics, Acoustics, Optics, Quantum mechanicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
3Total citation count in OpenAlex
- Citations by year (recent)
-
2017: 1, 2015: 1, 2014: 1Per-year citation counts (last 5 years)
- References (count)
-
23Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
Full payload
| id | https://openalex.org/W1960410215 |
|---|---|
| doi | https://doi.org/10.1121/1.4928617 |
| ids.doi | https://doi.org/10.1121/1.4928617 |
| ids.mag | 1960410215 |
| ids.pmid | https://pubmed.ncbi.nlm.nih.gov/26428774 |
| ids.openalex | https://openalex.org/W1960410215 |
| fwci | 0.53454125 |
| type | article |
| title | Entropy rate defined by internal wave scattering in long-range propagation |
| biblio.issue | 3 |
| biblio.volume | 138 |
| biblio.last_page | 1364 |
| biblio.first_page | 1353 |
| topics[0].id | https://openalex.org/T11698 |
| topics[0].field.id | https://openalex.org/fields/19 |
| topics[0].field.display_name | Earth and Planetary Sciences |
| topics[0].score | 0.9979000091552734 |
| topics[0].domain.id | https://openalex.org/domains/3 |
| topics[0].domain.display_name | Physical Sciences |
| topics[0].subfield.id | https://openalex.org/subfields/1910 |
| topics[0].subfield.display_name | Oceanography |
| topics[0].display_name | Underwater Acoustics Research |
| topics[1].id | https://openalex.org/T10255 |
| topics[1].field.id | https://openalex.org/fields/19 |
| topics[1].field.display_name | Earth and Planetary Sciences |
| topics[1].score | 0.9962999820709229 |
| topics[1].domain.id | https://openalex.org/domains/3 |
| topics[1].domain.display_name | Physical Sciences |
| topics[1].subfield.id | https://openalex.org/subfields/1910 |
| topics[1].subfield.display_name | Oceanography |
| topics[1].display_name | Oceanographic and Atmospheric Processes |
| topics[2].id | https://openalex.org/T11261 |
| topics[2].field.id | https://openalex.org/fields/31 |
| topics[2].field.display_name | Physics and Astronomy |
| topics[2].score | 0.9950000047683716 |
| topics[2].domain.id | https://openalex.org/domains/3 |
| topics[2].domain.display_name | Physical Sciences |
| topics[2].subfield.id | https://openalex.org/subfields/3109 |
| topics[2].subfield.display_name | Statistical and Nonlinear Physics |
| topics[2].display_name | Quantum chaos and dynamical systems |
| is_xpac | False |
| apc_list | |
| apc_paid | |
| concepts[0].id | https://openalex.org/C146864707 |
| concepts[0].level | 2 |
| concepts[0].score | 0.718524158000946 |
| concepts[0].wikidata | https://www.wikidata.org/wiki/Q382774 |
| concepts[0].display_name | Internal wave |
| concepts[1].id | https://openalex.org/C191486275 |
| concepts[1].level | 2 |
| concepts[1].score | 0.7184712886810303 |
| concepts[1].wikidata | https://www.wikidata.org/wiki/Q210028 |
| concepts[1].display_name | Scattering |
| concepts[2].id | https://openalex.org/C121332964 |
| concepts[2].level | 0 |
| concepts[2].score | 0.5658397674560547 |
| concepts[2].wikidata | https://www.wikidata.org/wiki/Q413 |
| concepts[2].display_name | Physics |
| concepts[3].id | https://openalex.org/C106301342 |
| concepts[3].level | 2 |
| concepts[3].score | 0.5572806596755981 |
| concepts[3].wikidata | https://www.wikidata.org/wiki/Q4117933 |
| concepts[3].display_name | Entropy (arrow of time) |
| concepts[4].id | https://openalex.org/C121864883 |
| concepts[4].level | 1 |
| concepts[4].score | 0.46175289154052734 |
| concepts[4].wikidata | https://www.wikidata.org/wiki/Q677916 |
| concepts[4].display_name | Statistical physics |
| concepts[5].id | https://openalex.org/C204723758 |
| concepts[5].level | 2 |
| concepts[5].score | 0.4225141704082489 |
| concepts[5].wikidata | https://www.wikidata.org/wiki/Q3882459 |
| concepts[5].display_name | Acoustic wave |
| concepts[6].id | https://openalex.org/C30475298 |
| concepts[6].level | 1 |
| concepts[6].score | 0.37043267488479614 |
| concepts[6].wikidata | https://www.wikidata.org/wiki/Q909554 |
| concepts[6].display_name | Computational physics |
| concepts[7].id | https://openalex.org/C24890656 |
| concepts[7].level | 1 |
| concepts[7].score | 0.36881589889526367 |
| concepts[7].wikidata | https://www.wikidata.org/wiki/Q82811 |
| concepts[7].display_name | Acoustics |
| concepts[8].id | https://openalex.org/C120665830 |
| concepts[8].level | 1 |
| concepts[8].score | 0.2595365047454834 |
| concepts[8].wikidata | https://www.wikidata.org/wiki/Q14620 |
| concepts[8].display_name | Optics |
| concepts[9].id | https://openalex.org/C62520636 |
| concepts[9].level | 1 |
| concepts[9].score | 0.15118303894996643 |
| concepts[9].wikidata | https://www.wikidata.org/wiki/Q944 |
| concepts[9].display_name | Quantum mechanics |
| keywords[0].id | https://openalex.org/keywords/internal-wave |
| keywords[0].score | 0.718524158000946 |
| keywords[0].display_name | Internal wave |
| keywords[1].id | https://openalex.org/keywords/scattering |
| keywords[1].score | 0.7184712886810303 |
| keywords[1].display_name | Scattering |
| keywords[2].id | https://openalex.org/keywords/physics |
| keywords[2].score | 0.5658397674560547 |
| keywords[2].display_name | Physics |
| keywords[3].id | https://openalex.org/keywords/entropy |
| keywords[3].score | 0.5572806596755981 |
| keywords[3].display_name | Entropy (arrow of time) |
| keywords[4].id | https://openalex.org/keywords/statistical-physics |
| keywords[4].score | 0.46175289154052734 |
| keywords[4].display_name | Statistical physics |
| keywords[5].id | https://openalex.org/keywords/acoustic-wave |
| keywords[5].score | 0.4225141704082489 |
| keywords[5].display_name | Acoustic wave |
| keywords[6].id | https://openalex.org/keywords/computational-physics |
| keywords[6].score | 0.37043267488479614 |
| keywords[6].display_name | Computational physics |
| keywords[7].id | https://openalex.org/keywords/acoustics |
| keywords[7].score | 0.36881589889526367 |
| keywords[7].display_name | Acoustics |
| keywords[8].id | https://openalex.org/keywords/optics |
| keywords[8].score | 0.2595365047454834 |
| keywords[8].display_name | Optics |
| keywords[9].id | https://openalex.org/keywords/quantum-mechanics |
| keywords[9].score | 0.15118303894996643 |
| keywords[9].display_name | Quantum mechanics |
| language | en |
| locations[0].id | doi:10.1121/1.4928617 |
| locations[0].is_oa | True |
| locations[0].source.id | https://openalex.org/S11296630 |
| locations[0].source.issn | 0001-4966, 1520-8524, 1520-9024 |
| locations[0].source.type | journal |
| locations[0].source.is_oa | False |
| locations[0].source.issn_l | 0001-4966 |
| locations[0].source.is_core | True |
| locations[0].source.is_in_doaj | False |
| locations[0].source.display_name | The Journal of the Acoustical Society of America |
| locations[0].source.host_organization | https://openalex.org/P4310320226 |
| locations[0].source.host_organization_name | Acoustical Society of America |
| locations[0].source.host_organization_lineage | https://openalex.org/P4310320226 |
| locations[0].source.host_organization_lineage_names | Acoustical Society of America |
| locations[0].license | |
| locations[0].pdf_url | https://asa.scitation.org/doi/pdf/10.1121/1.4928617 |
| locations[0].version | publishedVersion |
| locations[0].raw_type | journal-article |
| locations[0].license_id | |
| locations[0].is_accepted | True |
| locations[0].is_published | True |
| locations[0].raw_source_name | The Journal of the Acoustical Society of America |
| locations[0].landing_page_url | https://doi.org/10.1121/1.4928617 |
| locations[1].id | pmid:26428774 |
| locations[1].is_oa | False |
| locations[1].source.id | https://openalex.org/S4306525036 |
| locations[1].source.issn | |
| locations[1].source.type | repository |
| locations[1].source.is_oa | False |
| locations[1].source.issn_l | |
| locations[1].source.is_core | False |
| locations[1].source.is_in_doaj | False |
| locations[1].source.display_name | PubMed |
| locations[1].source.host_organization | https://openalex.org/I1299303238 |
| locations[1].source.host_organization_name | National Institutes of Health |
| locations[1].source.host_organization_lineage | https://openalex.org/I1299303238 |
| locations[1].license | |
| locations[1].pdf_url | |
| locations[1].version | publishedVersion |
| locations[1].raw_type | |
| locations[1].license_id | |
| locations[1].is_accepted | True |
| locations[1].is_published | True |
| locations[1].raw_source_name | The Journal of the Acoustical Society of America |
| locations[1].landing_page_url | https://pubmed.ncbi.nlm.nih.gov/26428774 |
| locations[2].id | pmh:oai:calhoun.nps.edu:10945/62405 |
| locations[2].is_oa | False |
| locations[2].source.id | https://openalex.org/S4306400952 |
| locations[2].source.issn | |
| locations[2].source.type | repository |
| locations[2].source.is_oa | False |
| locations[2].source.issn_l | |
| locations[2].source.is_core | False |
| locations[2].source.is_in_doaj | False |
| locations[2].source.display_name | Calhoun: The Naval Postgraduate School Institutional Archive (Naval Postgraduate School) |
| locations[2].source.host_organization | https://openalex.org/I35364215 |
| locations[2].source.host_organization_name | Naval Postgraduate School |
| locations[2].source.host_organization_lineage | https://openalex.org/I35364215 |
| locations[2].license | |
| locations[2].pdf_url | |
| locations[2].version | submittedVersion |
| locations[2].raw_type | Article |
| locations[2].license_id | |
| locations[2].is_accepted | False |
| locations[2].is_published | False |
| locations[2].raw_source_name | |
| locations[2].landing_page_url | http://hdl.handle.net/10945/62405 |
| locations[3].id | pmh:oai:darchive.mblwhoilibrary.org:1912/7797 |
| locations[3].is_oa | False |
| locations[3].source.id | https://openalex.org/S4306400781 |
| locations[3].source.issn | |
| locations[3].source.type | repository |
| locations[3].source.is_oa | False |
| locations[3].source.issn_l | |
| locations[3].source.is_core | False |
| locations[3].source.is_in_doaj | False |
| locations[3].source.display_name | Open Access Server of the Woods Hole Scientific Community (Woods Hole Scientific Community) |
| locations[3].source.host_organization | |
| locations[3].source.host_organization_name | |
| locations[3].license | |
| locations[3].pdf_url | |
| locations[3].version | submittedVersion |
| locations[3].raw_type | Article |
| locations[3].license_id | |
| locations[3].is_accepted | False |
| locations[3].is_published | False |
| locations[3].raw_source_name | |
| locations[3].landing_page_url | https://hdl.handle.net/1912/7797 |
| indexed_in | crossref, pubmed |
| authorships[0].author.id | https://openalex.org/A5023815339 |
| authorships[0].author.orcid | https://orcid.org/0000-0003-1600-1254 |
| authorships[0].author.display_name | Andrey K. Morozov |
| authorships[0].countries | US |
| authorships[0].affiliations[0].institution_ids | https://openalex.org/I66958751 |
| authorships[0].affiliations[0].raw_affiliation_string | , Woods Hole Oceanographic Institution Department of Applied Ocean Physics and Engineering , MS# 09, Woods Hole, Massachusetts 02543, USA |
| authorships[0].institutions[0].id | https://openalex.org/I66958751 |
| authorships[0].institutions[0].ror | https://ror.org/03zbnzt98 |
| authorships[0].institutions[0].type | nonprofit |
| authorships[0].institutions[0].lineage | https://openalex.org/I66958751 |
| authorships[0].institutions[0].country_code | US |
| authorships[0].institutions[0].display_name | Woods Hole Oceanographic Institution |
| authorships[0].author_position | first |
| authorships[0].raw_author_name | Andrey K Morozov |
| authorships[0].is_corresponding | False |
| authorships[0].raw_affiliation_strings | , Woods Hole Oceanographic Institution Department of Applied Ocean Physics and Engineering , MS# 09, Woods Hole, Massachusetts 02543, USA |
| authorships[1].author.id | https://openalex.org/A5087592910 |
| authorships[1].author.orcid | https://orcid.org/0000-0003-3817-8798 |
| authorships[1].author.display_name | John A. Colosi |
| authorships[1].countries | US |
| authorships[1].affiliations[0].institution_ids | https://openalex.org/I35364215 |
| authorships[1].affiliations[0].raw_affiliation_string | Department of Oceanography Graduate School of Engineering and Applied Sciences, Naval Postgraduate School, 833 Dyer Road, Monterey, California 93943, USA. |
| authorships[1].institutions[0].id | https://openalex.org/I35364215 |
| authorships[1].institutions[0].ror | https://ror.org/033yfkj90 |
| authorships[1].institutions[0].type | education |
| authorships[1].institutions[0].lineage | https://openalex.org/I1330347796, https://openalex.org/I3130687028, https://openalex.org/I35364215 |
| authorships[1].institutions[0].country_code | US |
| authorships[1].institutions[0].display_name | Naval Postgraduate School |
| authorships[1].author_position | last |
| authorships[1].raw_author_name | John A. Colosi |
| authorships[1].is_corresponding | False |
| authorships[1].raw_affiliation_strings | Department of Oceanography Graduate School of Engineering and Applied Sciences, Naval Postgraduate School, 833 Dyer Road, Monterey, California 93943, USA. |
| has_content.pdf | True |
| has_content.grobid_xml | True |
| is_paratext | False |
| open_access.is_oa | True |
| open_access.oa_url | https://asa.scitation.org/doi/pdf/10.1121/1.4928617 |
| open_access.oa_status | bronze |
| open_access.any_repository_has_fulltext | False |
| created_date | 2025-10-10T00:00:00 |
| display_name | Entropy rate defined by internal wave scattering in long-range propagation |
| has_fulltext | True |
| is_retracted | False |
| updated_date | 2025-11-06T03:46:38.306776 |
| primary_topic.id | https://openalex.org/T11698 |
| primary_topic.field.id | https://openalex.org/fields/19 |
| primary_topic.field.display_name | Earth and Planetary Sciences |
| primary_topic.score | 0.9979000091552734 |
| primary_topic.domain.id | https://openalex.org/domains/3 |
| primary_topic.domain.display_name | Physical Sciences |
| primary_topic.subfield.id | https://openalex.org/subfields/1910 |
| primary_topic.subfield.display_name | Oceanography |
| primary_topic.display_name | Underwater Acoustics Research |
| related_works | https://openalex.org/W2381110733, https://openalex.org/W2094080018, https://openalex.org/W112658916, https://openalex.org/W2546527396, https://openalex.org/W27576654, https://openalex.org/W4230868319, https://openalex.org/W2042833132, https://openalex.org/W2416230169, https://openalex.org/W1630720736, https://openalex.org/W1498268793 |
| cited_by_count | 3 |
| counts_by_year[0].year | 2017 |
| counts_by_year[0].cited_by_count | 1 |
| counts_by_year[1].year | 2015 |
| counts_by_year[1].cited_by_count | 1 |
| counts_by_year[2].year | 2014 |
| counts_by_year[2].cited_by_count | 1 |
| locations_count | 4 |
| best_oa_location.id | doi:10.1121/1.4928617 |
| best_oa_location.is_oa | True |
| best_oa_location.source.id | https://openalex.org/S11296630 |
| best_oa_location.source.issn | 0001-4966, 1520-8524, 1520-9024 |
| best_oa_location.source.type | journal |
| best_oa_location.source.is_oa | False |
| best_oa_location.source.issn_l | 0001-4966 |
| best_oa_location.source.is_core | True |
| best_oa_location.source.is_in_doaj | False |
| best_oa_location.source.display_name | The Journal of the Acoustical Society of America |
| best_oa_location.source.host_organization | https://openalex.org/P4310320226 |
| best_oa_location.source.host_organization_name | Acoustical Society of America |
| best_oa_location.source.host_organization_lineage | https://openalex.org/P4310320226 |
| best_oa_location.source.host_organization_lineage_names | Acoustical Society of America |
| best_oa_location.license | |
| best_oa_location.pdf_url | https://asa.scitation.org/doi/pdf/10.1121/1.4928617 |
| best_oa_location.version | publishedVersion |
| best_oa_location.raw_type | journal-article |
| best_oa_location.license_id | |
| best_oa_location.is_accepted | True |
| best_oa_location.is_published | True |
| best_oa_location.raw_source_name | The Journal of the Acoustical Society of America |
| best_oa_location.landing_page_url | https://doi.org/10.1121/1.4928617 |
| primary_location.id | doi:10.1121/1.4928617 |
| primary_location.is_oa | True |
| primary_location.source.id | https://openalex.org/S11296630 |
| primary_location.source.issn | 0001-4966, 1520-8524, 1520-9024 |
| primary_location.source.type | journal |
| primary_location.source.is_oa | False |
| primary_location.source.issn_l | 0001-4966 |
| primary_location.source.is_core | True |
| primary_location.source.is_in_doaj | False |
| primary_location.source.display_name | The Journal of the Acoustical Society of America |
| primary_location.source.host_organization | https://openalex.org/P4310320226 |
| primary_location.source.host_organization_name | Acoustical Society of America |
| primary_location.source.host_organization_lineage | https://openalex.org/P4310320226 |
| primary_location.source.host_organization_lineage_names | Acoustical Society of America |
| primary_location.license | |
| primary_location.pdf_url | https://asa.scitation.org/doi/pdf/10.1121/1.4928617 |
| primary_location.version | publishedVersion |
| primary_location.raw_type | journal-article |
| primary_location.license_id | |
| primary_location.is_accepted | True |
| primary_location.is_published | True |
| primary_location.raw_source_name | The Journal of the Acoustical Society of America |
| primary_location.landing_page_url | https://doi.org/10.1121/1.4928617 |
| publication_date | 2015-09-01 |
| publication_year | 2015 |
| referenced_works | https://openalex.org/W2007084925, https://openalex.org/W2083326021, https://openalex.org/W1968351646, https://openalex.org/W1999552521, https://openalex.org/W2008884887, https://openalex.org/W2031088829, https://openalex.org/W2089791369, https://openalex.org/W2031529570, https://openalex.org/W2041142929, https://openalex.org/W2059973142, https://openalex.org/W4406515622, https://openalex.org/W1970004194, https://openalex.org/W1995875735, https://openalex.org/W2993383518, https://openalex.org/W3008203882, https://openalex.org/W3117325162, https://openalex.org/W4252035968, https://openalex.org/W2055963033, https://openalex.org/W2009991884, https://openalex.org/W1980687993, https://openalex.org/W2076137444, https://openalex.org/W578813554, https://openalex.org/W3100689407 |
| referenced_works_count | 23 |
| abstract_inverted_index.a | 17, 88, 147 |
| abstract_inverted_index.In | 30 |
| abstract_inverted_index.It | 112 |
| abstract_inverted_index.an | 81, 181 |
| abstract_inverted_index.as | 127 |
| abstract_inverted_index.by | 13, 41, 77, 175 |
| abstract_inverted_index.in | 35, 54 |
| abstract_inverted_index.is | 16, 59, 80, 94, 113, 120, 178 |
| abstract_inverted_index.no | 60 |
| abstract_inverted_index.of | 2, 5, 32, 63, 84, 91, 118, 121, 125, 162 |
| abstract_inverted_index.on | 37 |
| abstract_inverted_index.to | 11 |
| abstract_inverted_index.The | 0, 71, 139, 158 |
| abstract_inverted_index.and | 24, 45, 131, 143, 152, 187 |
| abstract_inverted_index.are | 52 |
| abstract_inverted_index.due | 10 |
| abstract_inverted_index.for | 20, 134, 184 |
| abstract_inverted_index.how | 64 |
| abstract_inverted_index.not | 180 |
| abstract_inverted_index.out | 96 |
| abstract_inverted_index.ray | 137, 144, 153 |
| abstract_inverted_index.the | 6, 46, 55, 92, 108, 122, 128, 135, 168 |
| abstract_inverted_index.Here | 87 |
| abstract_inverted_index.data | 68, 185 |
| abstract_inverted_index.fact | 47 |
| abstract_inverted_index.from | 75 |
| abstract_inverted_index.long | 28 |
| abstract_inverted_index.near | 155 |
| abstract_inverted_index.over | 27 |
| abstract_inverted_index.rate | 117, 164, 186 |
| abstract_inverted_index.same | 123 |
| abstract_inverted_index.that | 48, 115, 173 |
| abstract_inverted_index.with | 103 |
| abstract_inverted_index.chaos | 154 |
| abstract_inverted_index.clear | 61 |
| abstract_inverted_index.field | 171 |
| abstract_inverted_index.level | 161 |
| abstract_inverted_index.loss. | 86 |
| abstract_inverted_index.ocean | 7 |
| abstract_inverted_index.order | 124 |
| abstract_inverted_index.shown | 114 |
| abstract_inverted_index.shows | 172 |
| abstract_inverted_index.small | 160 |
| abstract_inverted_index.sound | 8 |
| abstract_inverted_index.spite | 31 |
| abstract_inverted_index.there | 58 |
| abstract_inverted_index.these | 65 |
| abstract_inverted_index.using | 97 |
| abstract_inverted_index.waves | 15, 44, 51, 66, 79, 177 |
| abstract_inverted_index.world | 56 |
| abstract_inverted_index.during | 165 |
| abstract_inverted_index.likely | 179 |
| abstract_inverted_index.model. | 111 |
| abstract_inverted_index.moment | 99 |
| abstract_inverted_index.random | 42, 49, 104, 169 |
| abstract_inverted_index.recent | 33 |
| abstract_inverted_index.remote | 25 |
| abstract_inverted_index.second | 98 |
| abstract_inverted_index.signal | 39 |
| abstract_inverted_index.theory | 101 |
| abstract_inverted_index.between | 141, 149 |
| abstract_inverted_index.carried | 95 |
| abstract_inverted_index.channel | 9, 188 |
| abstract_inverted_index.entropy | 72, 93, 119, 130, 163 |
| abstract_inverted_index.measure | 83 |
| abstract_inverted_index.obeying | 107 |
| abstract_inverted_index.oceans, | 57 |
| abstract_inverted_index.problem | 19 |
| abstract_inverted_index.ranges. | 29 |
| abstract_inverted_index.sensing | 26 |
| abstract_inverted_index.through | 167 |
| abstract_inverted_index.Lyapunov | 132 |
| abstract_inverted_index.acoustic | 21, 38 |
| abstract_inverted_index.capacity | 4 |
| abstract_inverted_index.decrease | 73 |
| abstract_inverted_index.internal | 14, 43, 50, 78, 176 |
| abstract_inverted_index.progress | 34 |
| abstract_inverted_index.relevant | 136 |
| abstract_inverted_index.research | 36 |
| abstract_inverted_index.rigorous | 89 |
| abstract_inverted_index.suggests | 146 |
| abstract_inverted_index.capacity. | 189 |
| abstract_inverted_index.entropies | 145 |
| abstract_inverted_index.equations | 102 |
| abstract_inverted_index.essential | 182 |
| abstract_inverted_index.exponents | 133 |
| abstract_inverted_index.full-wave | 116, 142, 150 |
| abstract_inverted_index.important | 82 |
| abstract_inverted_index.influence | 67 |
| abstract_inverted_index.magnitude | 126 |
| abstract_inverted_index.potential | 18 |
| abstract_inverted_index.reduction | 1 |
| abstract_inverted_index.resulting | 74 |
| abstract_inverted_index.transport | 100 |
| abstract_inverted_index.limitation | 183 |
| abstract_inverted_index.relatively | 159 |
| abstract_inverted_index.scattering | 12, 40, 76, 151, 174 |
| abstract_inverted_index.ubiquitous | 53 |
| abstract_inverted_index.calculation | 90 |
| abstract_inverted_index.information | 3, 85 |
| abstract_inverted_index.navigation, | 23 |
| abstract_inverted_index.propagation | 166 |
| abstract_inverted_index.saturation. | 157 |
| abstract_inverted_index.sound-speed | 105 |
| abstract_inverted_index.statistical | 156 |
| abstract_inverted_index.performance. | 70 |
| abstract_inverted_index.communication | 69 |
| abstract_inverted_index.internal-wave | 110, 170 |
| abstract_inverted_index.perturbations | 106 |
| abstract_inverted_index.trajectories. | 138 |
| abstract_inverted_index.understanding | 62 |
| abstract_inverted_index.Garrett–Munk | 109 |
| abstract_inverted_index.communication, | 22 |
| abstract_inverted_index.correspondence | 140, 148 |
| abstract_inverted_index.Kolmogorov–Sinai | 129 |
| cited_by_percentile_year.max | 94 |
| cited_by_percentile_year.min | 89 |
| countries_distinct_count | 1 |
| institutions_distinct_count | 2 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/14 |
| sustainable_development_goals[0].score | 0.8700000047683716 |
| sustainable_development_goals[0].display_name | Life below water |
| citation_normalized_percentile.value | 0.76085692 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |