Nonlinear ultrasound simulation in an axisymmetric coordinate system using a k-space pseudospectral method Article Swipe
Bradley E. Treeby
,
Elliott S. Wise
,
Filip Kuklis
,
Jiří Jaroš
,
Ben Cox
·
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.1121/10.0002177
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.1121/10.0002177
A full-wave model for nonlinear ultrasound propagation through a heterogeneous and absorbing medium in an axisymmetric coordinate system is developed. The model equations are solved using a nonstandard or k-space pseudospectral time domain method. Spatial gradients in the axial direction are calculated using the Fourier collocation spectral method, and spatial gradients in the radial direction are calculated using discrete trigonometric transforms. Time integration is performed using a k-space corrected finite difference scheme. This scheme is exact for plane waves propagating linearly in the axial direction in a homogeneous and lossless medium and significantly reduces numerical dispersion in the more general case. The implementation of the model is described, and performance benchmarks are given for a range of grid sizes. The model is validated by comparison with several analytical solutions. This includes one-dimensional absorption and nonlinearity, the pressure field generated by plane-piston and bowl transducers, and the scattering of a plane wave by a sphere. The general utility of the model is then demonstrated by simulating nonlinear transcranial ultrasound using a simplified head model.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1121/10.0002177
- https://asa.scitation.org/doi/pdf/10.1121/10.0002177
- OA Status
- bronze
- Cited By
- 37
- References
- 43
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W3094601123
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W3094601123Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1121/10.0002177Digital Object Identifier
- Title
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Nonlinear ultrasound simulation in an axisymmetric coordinate system using a k-space pseudospectral methodWork title
- Type
-
articleOpenAlex work type
- Language
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enPrimary language
- Publication year
-
2020Year of publication
- Publication date
-
2020-10-01Full publication date if available
- Authors
-
Bradley E. Treeby, Elliott S. Wise, Filip Kuklis, Jiří Jaroš, Ben CoxList of authors in order
- Landing page
-
https://doi.org/10.1121/10.0002177Publisher landing page
- PDF URL
-
https://asa.scitation.org/doi/pdf/10.1121/10.0002177Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
-
bronzeOpen access status per OpenAlex
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https://asa.scitation.org/doi/pdf/10.1121/10.0002177Direct OA link when available
- Concepts
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Mathematical analysis, Nonlinear system, Physics, Pseudo-spectral method, Cylindrical coordinate system, Cartesian coordinate system, Fourier transform, Mathematics, Geometry, Fourier analysis, Quantum mechanicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
37Total citation count in OpenAlex
- Citations by year (recent)
-
2025: 7, 2024: 15, 2023: 5, 2022: 8, 2021: 2Per-year citation counts (last 5 years)
- References (count)
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43Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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| best_oa_location.is_published | True |
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| best_oa_location.landing_page_url | https://doi.org/10.1121/10.0002177 |
| primary_location.id | doi:10.1121/10.0002177 |
| 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/10.1121/10.0002177 |
| 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/10.1121/10.0002177 |
| publication_date | 2020-10-01 |
| publication_year | 2020 |
| referenced_works | https://openalex.org/W1886087187, https://openalex.org/W2042617979, https://openalex.org/W2134579113, https://openalex.org/W2171325078, https://openalex.org/W1988285441, https://openalex.org/W2037661654, https://openalex.org/W2007706971, https://openalex.org/W2975731167, https://openalex.org/W2125154215, https://openalex.org/W2087928092, https://openalex.org/W2045228828, https://openalex.org/W1975837612, https://openalex.org/W2066649462, https://openalex.org/W2048723635, https://openalex.org/W1964534343, https://openalex.org/W2802780439, https://openalex.org/W2162473564, https://openalex.org/W2036993717, https://openalex.org/W2133534501, https://openalex.org/W2521122478, https://openalex.org/W2018801696, https://openalex.org/W2095088345, https://openalex.org/W2040926344, https://openalex.org/W2133345822, https://openalex.org/W2070727276, https://openalex.org/W2129779507, https://openalex.org/W3022070122, https://openalex.org/W2039729024, https://openalex.org/W2045280044, https://openalex.org/W1979515779, https://openalex.org/W2964328005, https://openalex.org/W2301482964, https://openalex.org/W2907701939, https://openalex.org/W2138692623, https://openalex.org/W2021115867, https://openalex.org/W2596073053, https://openalex.org/W2089552047, https://openalex.org/W2962971798, https://openalex.org/W1986928153, https://openalex.org/W2015486895, https://openalex.org/W2994611362, https://openalex.org/W2944947347, https://openalex.org/W3036801300 |
| referenced_works_count | 43 |
| abstract_inverted_index.A | 0 |
| abstract_inverted_index.a | 8, 26, 66, 86, 114, 148, 152, 169 |
| abstract_inverted_index.an | 14 |
| abstract_inverted_index.by | 123, 139, 151, 163 |
| abstract_inverted_index.in | 13, 36, 51, 81, 85, 96 |
| abstract_inverted_index.is | 18, 63, 74, 106, 121, 160 |
| abstract_inverted_index.of | 103, 116, 147, 157 |
| abstract_inverted_index.or | 28 |
| abstract_inverted_index.The | 20, 101, 119, 154 |
| abstract_inverted_index.and | 10, 48, 88, 91, 108, 133, 141, 144 |
| abstract_inverted_index.are | 23, 40, 55, 111 |
| abstract_inverted_index.for | 3, 76, 113 |
| abstract_inverted_index.the | 37, 43, 52, 82, 97, 104, 135, 145, 158 |
| abstract_inverted_index.This | 72, 129 |
| abstract_inverted_index.Time | 61 |
| abstract_inverted_index.bowl | 142 |
| abstract_inverted_index.grid | 117 |
| abstract_inverted_index.head | 171 |
| abstract_inverted_index.more | 98 |
| abstract_inverted_index.then | 161 |
| abstract_inverted_index.time | 31 |
| abstract_inverted_index.wave | 150 |
| abstract_inverted_index.with | 125 |
| abstract_inverted_index.axial | 38, 83 |
| abstract_inverted_index.case. | 100 |
| abstract_inverted_index.exact | 75 |
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| abstract_inverted_index.given | 112 |
| abstract_inverted_index.model | 2, 21, 105, 120, 159 |
| abstract_inverted_index.plane | 77, 149 |
| abstract_inverted_index.range | 115 |
| abstract_inverted_index.using | 25, 42, 57, 65, 168 |
| abstract_inverted_index.waves | 78 |
| abstract_inverted_index.domain | 32 |
| abstract_inverted_index.finite | 69 |
| abstract_inverted_index.medium | 12, 90 |
| abstract_inverted_index.model. | 172 |
| abstract_inverted_index.radial | 53 |
| abstract_inverted_index.scheme | 73 |
| abstract_inverted_index.sizes. | 118 |
| abstract_inverted_index.solved | 24 |
| abstract_inverted_index.system | 17 |
| abstract_inverted_index.Fourier | 44 |
| abstract_inverted_index.Spatial | 34 |
| abstract_inverted_index.general | 99, 155 |
| abstract_inverted_index.k-space | 29, 67 |
| abstract_inverted_index.method, | 47 |
| abstract_inverted_index.method. | 33 |
| abstract_inverted_index.reduces | 93 |
| abstract_inverted_index.scheme. | 71 |
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| abstract_inverted_index.spatial | 49 |
| abstract_inverted_index.sphere. | 153 |
| abstract_inverted_index.through | 7 |
| abstract_inverted_index.utility | 156 |
| abstract_inverted_index.discrete | 58 |
| abstract_inverted_index.includes | 130 |
| abstract_inverted_index.linearly | 80 |
| abstract_inverted_index.lossless | 89 |
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| abstract_inverted_index.corrected | 68 |
| abstract_inverted_index.direction | 39, 54, 84 |
| abstract_inverted_index.equations | 22 |
| abstract_inverted_index.full-wave | 1 |
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| abstract_inverted_index.gradients | 35, 50 |
| abstract_inverted_index.nonlinear | 4, 165 |
| abstract_inverted_index.numerical | 94 |
| abstract_inverted_index.performed | 64 |
| abstract_inverted_index.validated | 122 |
| abstract_inverted_index.absorption | 132 |
| abstract_inverted_index.analytical | 127 |
| abstract_inverted_index.benchmarks | 110 |
| abstract_inverted_index.calculated | 41, 56 |
| abstract_inverted_index.comparison | 124 |
| abstract_inverted_index.coordinate | 16 |
| abstract_inverted_index.described, | 107 |
| abstract_inverted_index.developed. | 19 |
| abstract_inverted_index.difference | 70 |
| abstract_inverted_index.dispersion | 95 |
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| abstract_inverted_index.simplified | 170 |
| abstract_inverted_index.simulating | 164 |
| abstract_inverted_index.solutions. | 128 |
| abstract_inverted_index.ultrasound | 5, 167 |
| abstract_inverted_index.collocation | 45 |
| abstract_inverted_index.homogeneous | 87 |
| abstract_inverted_index.integration | 62 |
| abstract_inverted_index.nonstandard | 27 |
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| abstract_inverted_index.transforms. | 60 |
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| abstract_inverted_index.plane-piston | 140 |
| abstract_inverted_index.transcranial | 166 |
| abstract_inverted_index.transducers, | 143 |
| abstract_inverted_index.heterogeneous | 9 |
| abstract_inverted_index.nonlinearity, | 134 |
| abstract_inverted_index.significantly | 92 |
| abstract_inverted_index.trigonometric | 59 |
| abstract_inverted_index.implementation | 102 |
| abstract_inverted_index.pseudospectral | 30 |
| abstract_inverted_index.one-dimensional | 131 |
| cited_by_percentile_year.max | 99 |
| cited_by_percentile_year.min | 93 |
| countries_distinct_count | 2 |
| institutions_distinct_count | 5 |
| citation_normalized_percentile.value | 0.78809256 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |