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ISSN 2415-3400 (Online)
ISSN 1028-821X (Print)

Wave field of acoustic antenna in uniform subsonic flow

Bryukhovetski, AS, Vichkan’, AV
Organization: 

 

O. Ya. Usikov Institute for Radiophysics and Electronics of the National Academy of Sciences of Ukraine
12, Proskura st., Kharkov, 61085, Ukraine
E-mail: bryu@ire.kharkov.ua

https://doi.org/10.15407/rej2019.03.009
Language: russian
Abstract: 

 

Subject and purpose. The wave field of an acoustic antenna in a uniform subsonic flow is theoretically investigated. Purpose of the work is to obtain an analytical dependence of the sound field on physical parameters.

Method and methodology. The article presents the aperture method of theoretical calculation of wave field of the acoustic antenna, which on the approximate Kirchhoff boundary conditions and the Fourier method of separation of variables in the wave equation for a moving medium. In determining the coordinate representation of the sound field in the wave zone of the source from its frequency-wave representation, is used the asymptotic method of the stationary phase for calculating double oscillating integrals.

Results. It is established that the wave field of an acoustic antenna is represented as a product of the wave field of a point source and a spatial angular factor, which depend not only on the position of the observation point, but also on the flow velocity vector.

Conclusion. It was shown that the results of calculations can serve as a theoretical basis for explaining the experimental data for radio acoustic sounding of the atmosphere.

Keywords: anisotropy, aperture method, Kirchhoff diffraction, saddle point method

Manuscript submitted 29.11.2018
PACS 94.20.ws, 43.20.Bi
Radiofiz. elektron. 2019, 24(3): 9-20

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References: 
  1. Bubnov, E.Ya., 2010. Acoustic emission of discrete sources in anisotropic medium. Vestnik of Lobachevsky University of Nizhni Novgorod, 6, pp. 56–58 (in Russian).
  2. Bubnov, E.Ya., 2012. Acoustic radiation of a moving linear antenna comprised of axial distributed quadrupoles. Vestnik of Lobachevsky University of Nizhni Novgorod, 2(1), pp. 55–58 (in Russian).
  3. Ostashev, V.E., 1992. Propagation of sound in moving media. Moscow: Nauka Publ. (in Russian).
  4. Khenl, Kh., Maue, A., Vestpfal, K., 1964. Theory of diffraction. Translated from German. Moscow: Mir Publ. (in Russian).
  5. Born, M., Volf, E., 1970. Fundamentals of Optics. Moscow: Nauka Publ. (in Russian).
  6. Galimov, G.K., 2017. General theory of mirror antennas. Vol. 6. Moscow: OOO «Advansed Solyushnz» Publ. (in Russian).
  7. Blokhintsev, D.I., 1946. Acoustics of an inhomogeneous moving medium. Moscow-Leningrad: OGIZ-Gostekhizat Publ. (in Russian).
  8. Vladimirov, V.S., 1981. Equations of mathematical physics. 4th ed. Moscow: Nauka Publ. (in Russian).
  9. Korn, G., Korn, T., 1968. Handbook of Mathematics. Moscow: Nauka Publ. (in Russian).
  10. Felsen, L.B., Markuvitz, N., 1978. Radiation and Scattering of waves. Translated from English and ed. by M.L. Levin. Vol. 1. Moscow: Mir Publ. (in Russian).
  11. Brekhovskikh, A.M., 1957. Waves in layered media. Moscow: AN SSSR Publ. (in Russian).
  12. Fedoruk, M.V., 1987. Asymptotics: Integrals and series. Moscow: Nauka Publ. (in Russian).
  13. Bryukhovetski, A.S., 2005. Radar reflection from acoustic pulse. Radio Physics and Radio Astronomy, 10(4), pp. 432–441 (in Russian).
  14. Bryukhovetski, A.S., Vichkan’, A.V., 2017. Wind effect on the characteristics of radio wave scattering for the two-position radio acoustic sounding. Radio Physics and Radio Astronomy, 22(2), pp. 146–156 (in Russian). DOI: https://doi.org/10.15407/rpra22.02.146.