Study of oblique incidence of acoustic waves for multi-beam profiling of bottom soil

A model of a layered homogeneous medium in the form of “water–bottom soil” is considered. Taking into account different sets of types of bottom soil for the considered model, a dispersion equation describing the propagation of a longitudinal wave, as well as a dispersion equation for a transverse wave transformed from a longitudinal incident one, is obtained. Graphical dependences of the velocity of longitudinal and transverse waves on the thickness of the bottom soil layer are constructed. The influence of the emerging transverse wave on the overall wave process is estimated based on the analysis of reflection, transmission, and transformation coefficients.

1. Vagin A.V. Nonlinear world, 2025, no. 2(23), pp. 83–92. (in Russ.)

2. Brekhovskikh L.M., Godin O.A. Akustika sloistykh sred (Acoustics of Layered Media), Moscow, 1989, 412 p. (in Russ.)

3. Viktorov I.A. Zvukovyye poverkhnostnyye volny v tvordykh telakh (Sound Surface Waves in Solids), Moscow, 1981, 288 p. (in Russ.)

4. Barnik V., Wendt G., Kablov G.P., Yakovlev A.N. Gidrolokatsionnyye sistemy vertikal’nogo zondirovaniya dna (Sonar Systems for Vertical Sounding of the Bottom), Novosibirsk, 1992, 217 p. (in Russ.)

5. Rytov S.M. Acoustic. Zhurn., 1964, no. 1(10), pp. 16–18. (In Russ.)

6. Tyulin V.N. Osnovnyye yavleniya, svyazannyye s rasprostraneniyem akusticheskikh voln v morskoy srede (Basic Phenomena Associated with the Propagation of Acoustic Waves in the Marine Environment), Leningrad, 1956. (in Russ.)

7. Volovov V.I., Zhitkovsky Yu.Yu. Akustika okeana (Ocean Acoustics), Moscow, 1974, pt. 6, pp. 395–490. (in Russ.)

8. Andreeva I.B. Fizicheskiye osnovy rasprostraneniya zvuka v okeane (Physical Principles of Sound Propagation in the Ocean), Leningrad, 1975, 190 p. (in Russ.)

9. Volovov V.I., Zhitkovsky Yu.Yu. Oceanology, 1966, no. 6(6), pp. 1086–1088. (in Russ.)

10. Egorov N.N., Yakovlev L.A. Kolebaniya i volny (Oscillations and Waves), St. Petersburg, 1997, 111 p. (in Russ.)

11. Vagin A.V., Vorotyntseva A.S. Proceedings of Saint Petersburg Electrotechnical University, 2025, no. 5(18), pp. 5–11. (in Russ.)