In this work, observations of the relationship between the internal structure of a three-dimensional trabecular bone and scattering acoustic waves from the bone tissue are investigated. A three-dimensional scattering field base on the perturbation expansion of the fluid and solid constituents of the bone tissue is presented. Due to the anisotropic nature of the trabecular bone, eigenvalues and eigenvectors of the bone tissue's moment of inertia tensor were used to determine its principal axis. The eigenvector associated with the largest eigenvalue was considered as the unit vector along the principal axis. This allowed for a stationary analysis of the medium. Using spatial autocorrelation, estimates are made of the inner length scales of the medium. Observations were made of the simulated exterior field's relation to the bone tissue's inner length scales. Of particular interest are features of anisotropy and frequency dependence of the scattering field.
Characterization of trabecular bone structure through acoustic scattering. Publishing Authors By Initials
