Open AccessThe dependencies of phase velocity and dispersion on trabecular thickness and spacing in trabecular bone-mimicking phantoms
Author(s) -
Keith A. Wear
Publication year - 2005
Publication title -
the journal of the acoustical society of america/the journal of the acoustical society of america
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.619
H-Index - 187
eISSN - 1520-8524
pISSN - 0001-4966
DOI - 10.1121/1.1940448
Subject(s) - materials science , volume fraction , phase (matter) , phase velocity , dispersion (optics) , trabecular bone , volume (thermodynamics) , optics , mechanics , composite material , physics , thermodynamics , osteoporosis , medicine , quantum mechanics , endocrinology
Frequency-dependent phase velocity was measured in trabecular-bone-mimicking phantoms consisting of two-dimensional arrays of parallel nylon wires (simulating trabeculae) with thicknesses ranging from 152 to 305 microm and spacings ranging from 700 to 1000 microm. Phase velocity varied approximately linearly with frequency over the range from 400 to 750 kHz. Dispersion was characterized by the slope of a linear least-squares regression fit to phase velocity versus frequency data. The increase in phase velocity (compared with that in water) at 500 kHz was approximately proportional to the (1) square of trabecular thickness, (2) inverse square of trabecular spacing, and (3) volume fraction occupied by nylon wires. The first derivative of phase velocity with respect to frequency was negative and exhibited nonlinear, monotonically decreasing dependencies on trabecular thickness and volume fraction. The dependencies of phase velocity and its first derivative on volume fraction in the phantoms were consistent with those reported in trabecular bone.