Abstract

This paper is devoted to the theory of laser light scattering from polymer gels. The principal purpose of the inquiry is the structure of the Brillouin peaks that arise from the damped sound modes that are supported by the polymer network–fluid system. Our analysis includes coupling between sound waves in the fluid and elastic waves in the polymer network that is present even in the absence of any dissipative mechanisms. Explicit expressions are given for the eigenmodes of the gel in the presence of viscous damping and strong friction between the fluid motion and the polymer network. A comparison is made between the theory and available experimental evidence. The main point is that the shift and width of the Brillouin light scattering peaks (and by analogy sound attenuation) may usefully be employed to study both the static and dynamical properties of polymer gels.

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