Automatically Differentiable Higher-Order Parabolic Equation for Real-Time Underwater Sound Speed Profile Sensing
This paper is dedicated to the acoustic inversion of the vertical sound speed profiles (SSPs) in the underwater marine environment. The method of automatic differentiation is applied for the first time in this context. Representing the finite-difference Padé approximation of the propagation operator...
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-10-01
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| Series: | Journal of Marine Science and Engineering |
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| Online Access: | https://www.mdpi.com/2077-1312/12/11/1925 |
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| author | Mikhail Lytaev |
| author_facet | Mikhail Lytaev |
| author_sort | Mikhail Lytaev |
| collection | DOAJ |
| description | This paper is dedicated to the acoustic inversion of the vertical sound speed profiles (SSPs) in the underwater marine environment. The method of automatic differentiation is applied for the first time in this context. Representing the finite-difference Padé approximation of the propagation operator as a computational graph allows for the analytical computation of the gradient with respect to the SSP directly within the numerical scheme. The availability of the gradient, along with the high computational efficiency of the numerical method used, enables rapid inversion of the SSP based on acoustic measurements from a hydrophone array. It is demonstrated that local optimization methods can be effectively used for real-time sound speed inversion. Comparative analysis with existing methods shows the significant superiority of the proposed method in terms of computation speed. |
| format | Article |
| id | doaj-art-59a0f022fdb143b3ad76d22c9f17888e |
| institution | Kabale University |
| issn | 2077-1312 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Journal of Marine Science and Engineering |
| spelling | doaj-art-59a0f022fdb143b3ad76d22c9f17888e2024-11-26T18:07:56ZengMDPI AGJournal of Marine Science and Engineering2077-13122024-10-011211192510.3390/jmse12111925Automatically Differentiable Higher-Order Parabolic Equation for Real-Time Underwater Sound Speed Profile SensingMikhail Lytaev0St. Petersburg Federal Research Center of the Russian Academy of Sciences, 14-th Linia V.O. 39, 199178 St. Petersburg, RussiaThis paper is dedicated to the acoustic inversion of the vertical sound speed profiles (SSPs) in the underwater marine environment. The method of automatic differentiation is applied for the first time in this context. Representing the finite-difference Padé approximation of the propagation operator as a computational graph allows for the analytical computation of the gradient with respect to the SSP directly within the numerical scheme. The availability of the gradient, along with the high computational efficiency of the numerical method used, enables rapid inversion of the SSP based on acoustic measurements from a hydrophone array. It is demonstrated that local optimization methods can be effectively used for real-time sound speed inversion. Comparative analysis with existing methods shows the significant superiority of the proposed method in terms of computation speed.https://www.mdpi.com/2077-1312/12/11/1925ocean acoustic tomographysound speed inversionmatched field processingautomatic differentiationparabolic equationfinite-difference |
| spellingShingle | Mikhail Lytaev Automatically Differentiable Higher-Order Parabolic Equation for Real-Time Underwater Sound Speed Profile Sensing Journal of Marine Science and Engineering ocean acoustic tomography sound speed inversion matched field processing automatic differentiation parabolic equation finite-difference |
| title | Automatically Differentiable Higher-Order Parabolic Equation for Real-Time Underwater Sound Speed Profile Sensing |
| title_full | Automatically Differentiable Higher-Order Parabolic Equation for Real-Time Underwater Sound Speed Profile Sensing |
| title_fullStr | Automatically Differentiable Higher-Order Parabolic Equation for Real-Time Underwater Sound Speed Profile Sensing |
| title_full_unstemmed | Automatically Differentiable Higher-Order Parabolic Equation for Real-Time Underwater Sound Speed Profile Sensing |
| title_short | Automatically Differentiable Higher-Order Parabolic Equation for Real-Time Underwater Sound Speed Profile Sensing |
| title_sort | automatically differentiable higher order parabolic equation for real time underwater sound speed profile sensing |
| topic | ocean acoustic tomography sound speed inversion matched field processing automatic differentiation parabolic equation finite-difference |
| url | https://www.mdpi.com/2077-1312/12/11/1925 |
| work_keys_str_mv | AT mikhaillytaev automaticallydifferentiablehigherorderparabolicequationforrealtimeunderwatersoundspeedprofilesensing |