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Sound scattering from two concentric fluid spheres (L).

Jared McNew¹, Roberto Lavarello, William D O'Brien

¹Bioacoustics Research Laboratory, Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, 405 North Mathews, Urbana, Illinois 61801.

The Journal of the Acoustical Society of America

|July 12, 2011

Summary

This study presents a new model for acoustic scattering from two concentric fluid spheres, accounting for material property differences. The model accurately predicts scattering, offering insights into complex wave propagation phenomena.

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Area of Science:

Acoustics and Wave Propagation
Computational Physics
Biomedical Engineering

Background:

Acoustic scattering from spherical objects is fundamental in physics.
Modeling complex structures like the human head requires advanced computational methods.
Understanding wave interaction with multi-layered media is crucial for various applications.

Purpose of the Study:

To derive and verify a solution for plane wave and point source scattering by two concentric fluid spheres.
To investigate the influence of differing sound speeds, densities, and absorption coefficients.
To approximate the human head using this model and compare results with simpler models.

Main Methods:

Analytical derivation of scattering solutions for concentric spheres.
Limiting case analysis for an infinitely thin outer shell.
Numerical simulation using the concentric sphere solution to model the human head.

Main Results:

The derived solution accurately models acoustic scattering from two concentric fluid spheres.
The thin shell limit matches the single sphere solution, verifying the model.
Simulations show similarities outside the spheres but significant differences inside when compared to single-sphere models.

Conclusions:

The two-concentric-fluid-sphere model provides a more nuanced understanding of acoustic scattering than single-sphere models.
This model offers a better approximation for complex biological structures like the human head.
Differences in acoustic fields inside and outside the spheres highlight the importance of layered media in wave propagation.