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Journal of Applied Mathematics and Computation

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ArticleOpen Access http://dx.doi.org/10.26855/jamc.2023.12.002

About Radiation of Sliding Waves

Vladimir Arabadzhi

Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod, Russia.

*Corresponding author: Vladimir Arabadzhi

Published: December 19,2023

Abstract

It is shown that for waves of different physical nature (sound waves, gravitational surface waves in a liquid, electromagnetic waves) of the two field components, included as factors in the Poynting vector, only one component, given at the boundary, provides a resonant increase in the surface power flux density of the sliding wave radiation to infinity, as the spatial frequency of the boundary excitation approaches to the wavenumber in the medium (and a jump to zero after any exceeding the wavenumber of the medium). Also, it is shown that at the boundary with given travelling in space phase of normal vibrational velocities (or a tangentional electric field) arises the constant in time and along the boundary component of the tangential force of the radiation reaction (the force of wave thrust or the force of wave resistance, as following from concrete statement of the boundary value problem), which is not caused by nonlinearity of the medium and proportional to the radiated power, which can be large near resonance. The similarities and the cases of sliding waves of different physical natures and patterns of different types are discussed. The influence of the finite length of the radiating boundary and its curvature on the magnitude of the resonance is studied. It is shown that in the case of a linear equidistant chain of three-dimensional acoustic monopoles, the resonance is completely absent.

Keywords

Radiating of pattern, spatial frequency, temporal frequency, resonance radiation, boundary condition, phased array antenna mode, towed static structure mode, wave drive, wave resistance, sound waves, gravitational surface waves in liquid, electromagnetic waves

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How to cite this paper

About Radiation of Sliding Waves

How to cite this paper: Vladimir Arabadzhi. (2023) About Radiation of Sliding WavesJournal of Applied Mathematics and Computation7(4), 426-442.

DOI: http://dx.doi.org/10.26855/jamc.2023.12.002