Simulation of detection and scattering of sound waves by the lateral line of a fish

doi:10.1088/1674-1056/ac1b81

中国物理B ›› 2022, Vol. 31 ›› Issue (2): 24301-024301.doi: 10.1088/1674-1056/ac1b81

Simulation of detection and scattering of sound waves by the lateral line of a fish

V M Adamyan¹, I Y Popov^2,†, I V Blinova², and V V Zavalniuk^1,3

1 Odessa I. I. Mechnikov National University, Dvoryanskaya Str. 2, Odesa, 65082, Ukraine;
2 ITMO University, Kronverkskiy, 49, Saint Petersburg, 197101, Russia;
3 Odessa Military Academy, 10 Fontanska Road, Odesa 65009, Ukraine

收稿日期:2021-03-06 修回日期:2021-07-12 接受日期:2021-08-07 出版日期:2022-01-13 发布日期:2022-01-13
通讯作者: I Y Popov E-mail:popov1955@gmail.com
基金资助:
This work was supported by the Ministry of Education and Science of Ukraine (Grant No. 0115U003208). The authors thank Dr. R. Fricke for useful advice.

Simulation of detection and scattering of sound waves by the lateral line of a fish

V M Adamyan¹, I Y Popov^2,†, I V Blinova², and V V Zavalniuk^1,3

1 Odessa I. I. Mechnikov National University, Dvoryanskaya Str. 2, Odesa, 65082, Ukraine;
2 ITMO University, Kronverkskiy, 49, Saint Petersburg, 197101, Russia;
3 Odessa Military Academy, 10 Fontanska Road, Odesa 65009, Ukraine

Received:2021-03-06 Revised:2021-07-12 Accepted:2021-08-07 Online:2022-01-13 Published:2022-01-13
Contact: I Y Popov E-mail:popov1955@gmail.com
Supported by:
This work was supported by the Ministry of Education and Science of Ukraine (Grant No. 0115U003208). The authors thank Dr. R. Fricke for useful advice.

摘要/Abstract

摘要： A solvable model of lateral line of a fish based on a wave equation with additional boundary conditions on a set of isolated points is proposed. Within the framework of this model it is shown that the ratio of pressures on lateral lines on different fish flanks, as well as the cross section of sound scattering on both the lines, strongly depends on angles of incidence of incoming sound waves. The strong angular dependence of the pressure ratio seems to be sufficient for the fish to determine the directions from which the sound is coming.

关键词: acoustic equation, point self-adjoint perturbations of Laplace operator, scattering, lateral line

Abstract: A solvable model of lateral line of a fish based on a wave equation with additional boundary conditions on a set of isolated points is proposed. Within the framework of this model it is shown that the ratio of pressures on lateral lines on different fish flanks, as well as the cross section of sound scattering on both the lines, strongly depends on angles of incidence of incoming sound waves. The strong angular dependence of the pressure ratio seems to be sufficient for the fish to determine the directions from which the sound is coming.

Key words: acoustic equation, point self-adjoint perturbations of Laplace operator, scattering, lateral line

中图分类号: (Scattering of acoustic waves)

43.20.Fn

02.30.Tb (Operator theory)

V M Adamyan, I Y Popov, I V Blinova, and V V Zavalniuk. Simulation of detection and scattering of sound waves by the lateral line of a fish[J]. 中国物理B, 2022, 31(2): 24301-024301.

V M Adamyan, I Y Popov, I V Blinova, and V V Zavalniuk. Simulation of detection and scattering of sound waves by the lateral line of a fish[J]. Chin. Phys. B, 2022, 31(2): 24301-024301.

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Simulation of detection and scattering of sound waves by the lateral line of a fish

Simulation of detection and scattering of sound waves by the lateral line of a fish

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