Nonlinear interaction of two cross-propagating plane waves Article Swipe
Agisilaos Matalliotakis
,
David Maresca
,
Martin D. Verweij
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2312.00445
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2312.00445
An ideal contrast-enhanced ultrasound image should display microbubble-induced nonlinearities while avoiding wave propagation nonlinearities. One of the most successful ultrasound pulse sequences to disentangle these nonlinear effects relies on the transmission of cross-propagating plane waves. However, theory describing the noncollinear nonlinear interaction of two finite plane waves has not been fully developed and a better understanding of these effects would improve contrast-enhanced ultrasound imaging further. Here, local nonlinear interactions at the intersection of two plane-waves are investigated by extending the Westervelt equation with a term including the Lagrangian density. The Iterative Nonlinear Contrast Source (INCS) method is employed to numerically solve this full nonlinear wave equation for two 3D finite cross-propagating pulsed plane waves. In addition, analytical expressions for the cross-propagation of two infinite continuous plane waves are derived. Numerical results obtained with INCS show good agreement with the analytical expressions. Overall, the generated results show that the pressure associated with local nonlinear effects is two orders of magnitude lower than the pressure associated with global nonlinear effects. Local nonlinear effects are therefore expected to be negligible in the context of single-shot ultrasound imaging, but they may influence approaches that subtract pressure fields such as amplitude modulation or pulse inversion.
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Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2312.00445
- https://arxiv.org/pdf/2312.00445
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4389325923
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4389325923Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2312.00445Digital Object Identifier
- Title
-
Nonlinear interaction of two cross-propagating plane wavesWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2023Year of publication
- Publication date
-
2023-12-01Full publication date if available
- Authors
-
Agisilaos Matalliotakis, David Maresca, Martin D. VerweijList of authors in order
- Landing page
-
https://arxiv.org/abs/2312.00445Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2312.00445Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
-
https://arxiv.org/pdf/2312.00445Direct OA link when available
- Concepts
-
Nonlinear system, Plane wave, Physics, Plane (geometry), Mathematical analysis, Amplitude, Acoustics, Nonlinear acoustics, Pulse (music), Optics, Mechanics, Classical mechanics, Mathematics, Geometry, Quantum mechanics, DetectorTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
- Related works (count)
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.inversion. | 199 |
| abstract_inverted_index.modulation | 196 |
| abstract_inverted_index.negligible | 176 |
| abstract_inverted_index.successful | 18 |
| abstract_inverted_index.ultrasound | 3, 19, 62, 182 |
| abstract_inverted_index.disentangle | 23 |
| abstract_inverted_index.expressions | 117 |
| abstract_inverted_index.interaction | 41 |
| abstract_inverted_index.numerically | 99 |
| abstract_inverted_index.plane-waves | 74 |
| abstract_inverted_index.propagation | 12 |
| abstract_inverted_index.single-shot | 181 |
| abstract_inverted_index.expressions. | 140 |
| abstract_inverted_index.interactions | 68 |
| abstract_inverted_index.intersection | 71 |
| abstract_inverted_index.investigated | 76 |
| abstract_inverted_index.noncollinear | 39 |
| abstract_inverted_index.transmission | 30 |
| abstract_inverted_index.understanding | 55 |
| abstract_inverted_index.nonlinearities | 8 |
| abstract_inverted_index.nonlinearities. | 13 |
| abstract_inverted_index.contrast-enhanced | 2, 61 |
| abstract_inverted_index.cross-propagating | 32, 110 |
| abstract_inverted_index.cross-propagation | 120 |
| abstract_inverted_index.microbubble-induced | 7 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 3 |
| citation_normalized_percentile |