Geometric stochastic ray propagation using the special Euclidean group
This paper describes a stochastic model of ray trajectory propagation through a medium—such as the ocean—which has an uncertain sound speed profile. We frame ray propagation as a geometric fractal Brownian motion process on the special Euclidean group of dimension two, SE(2). The framing includes di...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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Acoustical Society of America
2024
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| Online Access: | https://hdl.handle.net/1721.1/155168 |
| _version_ | 1824458101612347392 |
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| author | Paine, Tyler Bhatt, EeShan |
| author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Paine, Tyler Bhatt, EeShan |
| author_sort | Paine, Tyler |
| collection | MIT |
| description | This paper describes a stochastic model of ray trajectory propagation through a medium—such as the ocean—which has an uncertain sound speed profile. We frame ray propagation as a geometric fractal Brownian motion process on the special Euclidean group of dimension two, SE(2). The framing includes diffusion parameters to describe how the stochastic rays deviate from the expected rays, and these diffusion parameters are a function of the uncertainty in the sound speed profile. We demonstrate this framing for the classical Munk profile and a double-ducted profile in the Beaufort. |
| first_indexed | 2024-09-23T11:33:11Z |
| format | Article |
| id | mit-1721.1/155168 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2025-02-19T04:20:32Z |
| publishDate | 2024 |
| publisher | Acoustical Society of America |
| record_format | dspace |
| spelling | mit-1721.1/1551682025-01-04T05:56:07Z Geometric stochastic ray propagation using the special Euclidean group Paine, Tyler Bhatt, EeShan Massachusetts Institute of Technology. Department of Mechanical Engineering Woods Hole Oceanographic Institution This paper describes a stochastic model of ray trajectory propagation through a medium—such as the ocean—which has an uncertain sound speed profile. We frame ray propagation as a geometric fractal Brownian motion process on the special Euclidean group of dimension two, SE(2). The framing includes diffusion parameters to describe how the stochastic rays deviate from the expected rays, and these diffusion parameters are a function of the uncertainty in the sound speed profile. We demonstrate this framing for the classical Munk profile and a double-ducted profile in the Beaufort. 2024-06-03T20:53:45Z 2024-06-03T20:53:45Z 2024-04-01 Article http://purl.org/eprint/type/JournalArticle 2691-1191 https://hdl.handle.net/1721.1/155168 Tyler Paine, EeShan Bhatt; Geometric stochastic ray propagation using the special Euclidean group. JASA Express Lett. 1 April 2024; 4 (4): 046002. en_US 10.1121/10.0025522 JASA Express Letters Creative Commons Attribution An error occurred on the license name. https://creativecommons.org/licenses/by/4.0/ application/pdf Acoustical Society of America Acoustical Society of America |
| spellingShingle | Paine, Tyler Bhatt, EeShan Geometric stochastic ray propagation using the special Euclidean group |
| title | Geometric stochastic ray propagation using the special Euclidean group |
| title_full | Geometric stochastic ray propagation using the special Euclidean group |
| title_fullStr | Geometric stochastic ray propagation using the special Euclidean group |
| title_full_unstemmed | Geometric stochastic ray propagation using the special Euclidean group |
| title_short | Geometric stochastic ray propagation using the special Euclidean group |
| title_sort | geometric stochastic ray propagation using the special euclidean group |
| url | https://hdl.handle.net/1721.1/155168 |
| work_keys_str_mv | AT painetyler geometricstochasticraypropagationusingthespecialeuclideangroup AT bhatteeshan geometricstochasticraypropagationusingthespecialeuclideangroup |