Geometric stochastic ray propagation using the special Euclidean group
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046002_1_10.0025522.pdf
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1.7 MB
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3d6ac8416b5172f6186ac97f87816791
Author(s)
Paine, Tyler
Bhatt, EeShan
Date Issued
April 1, 2024
Journal
JASA Express Letters
Publisher
Acoustical Society of America
Citation
Tyler Paine, EeShan Bhatt; Geometric stochastic ray propagation using the special Euclidean group. JASA Express Lett. 1 April 2024; 4 (4): 046002.
Version
Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Woods Hole Oceanographic Institution
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1121/10.0025522
