Transmission of waves through a pinned elastic medium

Propagation of compressional elastic waves through a 1-D medium with contact nonlinearities

Underwater sound transmission through arrays of disk cavities in a soft elastic medium.

Scattering from a cavity in a soft elastic medium, such as silicone rubber, resembles scattering from an underwater bubble in that low-frequency monopole resonance is obtainable in both cases. Arrays of cavities can therefore be used to reduce underwater sound transmission using thin layers and low void fractions. This article examines the role of cavity shape by microfabricating arrays of disk...

Interaction of Gravitational Waves with an Elastic Solid Medium

Elastic theory of pinned flux lattices.

The pinning of flux lattices by weak impurity disorder is studied in the absence of free dislocations using both the gaussian variational method and, to O(ǫ = 4 − d), the functional renormalization group. We find universal logarithmic growth of displacements for 2 < d < 4: 〈u(x) − u(0)〉2 ∼ Ad log |x| and persistence of algebraic quasi-long range translational order. When the two methods can be ...

Propagation of elastic waves through a lattice of cylindrical cavities

We consider the wave propagation through a doubly-periodic array of cavity cylinders in an isotropic elastic medium using the method of matched asymptotic expansions, based on the assumptions that the scatterer size is much smaller than both the wavelength and the array periodicity. There is no restriction on the wavelength relative to the array periodicity, and hence the method yields explicit...