Resonant Radiation of Boundary with a Travelling Distribution of the Field
by Vladimir Arabadzhi * 
Division of Geophysical Research, Institute of Applied Physics (RAS), Nizhny Novgorod, 603950, Russia
* Author to whom correspondence should be addressed.
Journal of Engineering Research and Sciences, Volume 1, Issue 4, Page # 01-08, 2022; DOI: 10.55708/js0104001
Keywords: Boundary, Pattern, Radiation, Resonance, Phasor, Spatial frequency, Radiation pressure
Received: 13 December 2021, Revised: 20 March 2022, Accepted: 27 March 2022, Published Online: 12 April 2022
APA
Arabadzhi, V. (2022, April). Resonant Radiation of Boundary with a Travelling Distribution of the Field. Journal of Engineering Research and Sciences, 1(4), 1–8. https://doi.org/10.55708/js0104001
Chicago/Turabian
Arabadzhi, Vladimir. “Resonant Radiation of Boundary with a Travelling Distribution of the Field.” Journal of Engineering Research and Sciences 1, no. 4 (April 2022): 1–8. https://doi.org/10.55708/js0104001.
IEEE
V. Arabadzhi, “Resonant Radiation of Boundary with a Travelling Distribution of the Field,” Journal of Engineering Research and Sciences, vol. 1, no. 4, pp. 1–8, Apr. 2022, doi: 10.55708/js0104001.
The problem of acoustic monochromatic radiation by boundary with a traveling distribution of phases of normal vibrational velocities is considered. It is shown that when the spatial frequency of the traveling phase of normal velocities approaches the wave number in the medium, the energy transfer from boundary into a “sliding” (with respect to the boundary) sound wave can resonantly increase to a value many times greater than the energy transfer from of the in-phase boundary, correspondingly, into the normal one (with respect to the boundary) sound wave at the same modules of amplitudes of vibrational velocities of boundary. In addition, the resonant energy transfer of the boundary into a “sliding” wave is the greater, the larger the wave dimensions of the radiating pattern on boundary. It is shown that when a similar traveling distribution of sound pressure (instead normal velocity) is specified at the boundary, there is no resonance. The influence of the curvature of the radiating boundary on the above phenomenon of resonant radiation was studied. It is shown that the resonant radiation of the boundary with given running phases of normal velocities generates a tangential (with respect to the boundary) constant in time radiation reaction force. It is shown that for the case of a linear chain of equidistant monopoles (or pulsing spheres separated from each other by medium) with a traveling phase (a traveling wave antenna) of their oscillatory velocities, the resonance does not appear.
- John William Strutt Rayleigh, The Theory of Sound; Volume 2, Franklin Classics, 978-0341849094, 2018.
- L.D. Landau, E.M. Lifshitz, Course of theoretical physics (Fluid Me-chanics), Vol. 6, Butterworth-Heinemann, 2 edition, Jan 15, 1987.
- L.M. Brekhovskih and O.A.Godin, Acoustics of Layered Media, Nauka, Moscow, 1989 (in Russian).
- Eugen Skudrzyk, The Foundations of Acoustics (Basic Mathematics and Basic Acoustics), Springer, 1971.
- James Lighthill, Waves in fluids, Cambridge University Press, Lon-don, New York, Melbourne, 1978.
- Allan D. Pierce, Acoustics. An Introduction to Its Physical Principles and Applications, Third Edition, McGraw-Hill, Inc., 1980.
- John D. Jackson, Classical electrodynamics, New York: Wiley, 1999.
- V.V. Arabadzhi, Solutions to Problems of Controlling Long Waves with the Help of Micro-Structure Tools, Bentham Science Publishers, 2011.
- C.H. Walter, Traveling Wave Antennas, McGraw-Hill, 1965, Dover, 1970, reprinted by Peninsula Publishing, Los Altos, California, 1990.
- Robert T. Beyer, “Radiation pressure – the history of a mislabeled tensor,” Journal of Acoustical Society of America, vol. 63, no. 4, pp. 1025-1030, 1978, doi:10.1121/1.381833.
