The resonance behavior of a bubble near a boundary

TL;DR

This paper develops an analytical model to study how a gas microbubble's resonance behavior is affected by nearby boundaries of various materials, enabling new high-resolution elastography techniques.

Contribution

It introduces a comprehensive analytical model for bubble resonance near arbitrary boundaries, including applications to biological cell mimicking particles for elastography.

Findings

Resonance frequencies are altered by boundary proximity and material properties.

The model enables inverse estimation of boundary mechanical properties.

Potential for high-resolution microscale elastography.

Abstract

We present an analytical model for the frequency response of a gas microbubble oscillating near a spherical inclusion of arbitrary size and mechanical nature (rigid, fluid, or viscoelastic) immersed in a viscous compressible fluid. The model considers both radial and nonspherical oscillations in the linear regime and predicts how their resonance frequencies and oscillation amplitudes are altered by the bubble size, material properties, and distance to the nearby sphere. As a key application, we demonstrate that scanning the frequency response of a bubble near a viscoelastic object, such as an erythrocyte-like particle mimicking a biological cell, offers a way to recover its mechanical properties through inverse modeling, opening new possibilities for high-resolution elastography at the microscale.