Acoustic scattering-extinction cross section and the acoustic force of electrostatic type

TL;DR

This paper explores the analogy between acoustic forces on bubbles and electrostatic forces, analyzing the scattering cross section and acoustic force at resonance to deepen understanding of their frequency independence and potential implications for modeling electrons.

Contribution

It provides new arguments supporting the analogy between acoustic scattering and electrostatic interactions, focusing on resonance behavior and frequency independence.

Findings

Scattering cross section and acoustic force are frequency independent at resonance.

Angular frequency and pressure wave amplitude are uncorrelated.

Supports modeling electrons as oscillating bubbles in vacuum.

Abstract

The analysis of the secondary Bjerknes force between two bubbles suggests that this force is analogous to the electrostatic forces. The same analogy is suggested by the existence of a scattering cross section of an acoustic wave on a bubble. Our paper brings new arguments in support of this analogy. The study which we perform is dedicated to the acoustic force and to the scattering cross section at resonance in order to highlight their angular frequency independence of the inductor wave. Also, our study reveals that the angular frequency and the amplitude of the induction pressure wave are not related. Highlighting this analogy will allow us a better understanding of the electrostatic interaction if the electron is modeled as an oscillating bubble in the vacuum.